Quantum Physics
Non-Equilibrium Sock Dynamics: Spontaneous Symmetry Breaking in the Agitated Wash
Ahmad Darwish, Matteo Murdaca and Jami J. Kinnunen
It is a universal empirical observation that socks become unpaired in the laundry. We propose a quasiparticle theory of sock dynamics in which individual socks are modelled as bosonic excitations of the agitated laundry condensate. The sock dispersion relation is material-dependent: nondispersive materials retain their shape, while dispersive materials give rise to the well-documented phenomenon of sock shrinkage. In the convex regions of the dispersive spectrum, socks undergo Beliaev decay and spontaneously split into two lower-momentum socks, while in the concave regions the dominant process is Landau-Khalatnikov scattering, which degrades socks into lint and loose threads. In addition, the rotating drum creates sock-antisock pairs from the laundry
vacuum via the dynamical Casimir effect. The coexistence of these creation and destruction channels gives rise to a fundamental ambiguity: an unpaired sock at the end of a wash cycle is equally consistent with the destruction of its partner or the spontaneous creation of an entirely new sock.
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Quantum Physics
Entanglement in prepare-and-measure scenarios without receiver inputs
Elna Svegborn and Armin Tavakoli
The most elementary prepare-and-measure scenarios have no independent measurement inputs. No inputs mean that
quantum advantages require two indispensable ingredients: shared
entanglement and measurements that can be adapted to the communicated messages. Understanding these scenarios is therefore conceptually natural, but also practically relevant, since they act as testbeds for black-box certification of adaptive one-way LOCC. Here, we study them systematically and reveal several of their basic features. For classical messages, we first identify the minimal scenario with a
quantum advantage and show that it is maximised by high-dimensional
entanglement. Then, we identify the next-to-minimal scenario, and show that
quantum advantages can be propelled by nonlocality of the Clauser-Horne-Shimony-Holt type, which makes this an appropriate setting for certification experiments. Proceeding further, we replace classical messages with
quantum messages, but require the receiver to read the message before measuring the entangled particle. We show that this leads to amplified
quantum advantages, that are made possible only thanks to non-projective message read-out. This in dispensable role of non-projective measurements challenges the common wisdom that they play a secondary role in revealing the power of
quantum correlations in black-box experiments.
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Quantum Physics
Md Sohel Mondal, Shashank Shekhar and Siddhartha Santra
The practical utility of a
quantum network depends on its ability to establish
entanglement between arbitrary node pairs with quality sufficient to execute
entanglement enabled tasks. This capability can be assessed globally, through aggregate performance over all node pairs, as well as locally, at the level of individual nodes. Since
entanglement-based connections form a layer above the underlying physical
topology,
quantum connectivity is not adequately captured by classical topological connectivity metrics. To enable characterisation of the
quantum connectivity at the level of the network (or its subnetworks), we introduce the
quantum connectivity measure (QCM), which quantifies the average connection quality between pairs of network nodes. Further, we describe two quantities, the
quantum-connected fraction (QCF) and the
quantum clustering coefficient (QCC), naturally derived from the QCM, which capture important features of the functional connectivity of the
quantum network at the level of the network and an individual node, respectively. These metrics of
quantum connectivity depend crucially on the
entanglement distribution protocol and the
quantum network parameters in addition to its physical
topology. We demonstrate the crucial distinction between topological and
quantum connectivity, showing that even a fully connected graph can be functionally disconnected for
quantum tasks if average network edge-concurrence falls below a critical threshold. These
quantum connectivity metrics thus provide important tools for the design, optimization, and benchmarking of future
quantum networks.
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Quantum Physics · Cross-listed from cond-mat.quant-gas
Double-weak-link interferometer of hard-core bosons in one dimension
A. Takacs, J. Dubail and P. Calabrese
We study the dynamics of a
lattice hard-core
boson gas released from a domain wall initial state in the presence of two weak links (defects). When the two defects are separated by a finite distance, the resulting density profile exhibits interferences, while when we take the large-distance limit between the two defects, those interferences are averaged out and one recovers a profile that is described by the standard Euler-scale hydrodynamic description of the gas. We analyze this in detail by computing the exact fermionic propagators and their repeated reflections at the defects. We derive a closed analytic expression for the density profile during the expansion, explicitly highlighting the role played by these interference processes.
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Quantum Physics
Adiabatic Ramsey Interferometry for Measuring Weak Nonlinearities with Super-Heisenberg Precision
Venelin P. Pavlov, Bogomila S. Nikolova and Peter A. Ivanov
We propose an adiabatic Ramsey interferometry technique for detecting weak nonlinearities with trapped ions. The method relies on using the
quantum Rabi model as a probe, which is sensitive to nonlinear
symmetry-breaking perturbations. We show that the couplings which arise either from anharmonic terms of the trapping potential or due to higher order terms in the Coulomb interaction expansion can be efficiently estimated by measuring the
spin state probabilities alone. We show that the
spin signal is amplified by the mean-
phonon excitations, which results in the estimation precision reaching the super-Heisenberg limit. Notably, achieving such high-precision estimation does not require specific entangled state preparation and can be reached even for initial thermal motion state. Furthermore, we show that the super-Heisenberg scaling can be observed even in the presence of weak
spin-dephasing.
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Quantum Physics · Cross-listed from cond-mat.quant-gas
Phase-space microscopes for quantum gases: Imaging conjugate variables and momentum-weighted densities
N. R. Cooper, Y. Yang and C. Weitenberg
Quantum gas microscopes offer unprecedented insights into
quantum many-body states of cold atomic gases. Here we introduce concrete protocols for extending
quantum gas microscopes to measure in phase space, by mapping momentum onto auxiliary degrees of freedom and using positive operator-valued measures. We distinguish between two distinct operational modes. In the Husimi-Q phase space microscope, position and momentum are jointly measured; in this mode the fundamental
quantum noise is distributed between position and momentum. Conversely, the averaged-mode phase space microscope extracts the spatial dependence of averages of the momentum density (and its moments); these averages can be retrieved with arbitrary spatial resolution. We illustrate the utility of these techniques in diverse physical settings.
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Quantum Physics · Cross-listed from math.OA
Separable neighbourhood of identity in C$^{\ast}$-algebras
Mizanur Rahaman and Mateusz Wasilewski
We study the structure of separable elements in bipartite C$^{\ast}$-
algebras, focusing on the existence and size of a separable neighbourhood around the identity element. While this phenomenon is well understood in the finite-dimensional setting, its extension to general C$^{\ast}$-
algebras presents additional challenges. We show that the problem of determining such a neighbourhood can be reduced to estimating the completely bounded norm of contractive positive maps. This approach allows us to characterize the size of such neighbourhoods in terms of structural properties of the
algebra, notably its rank. As a consequence, we also resolve a recent
conjecture of Musat and Rørdam.
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Quantum Physics
Reducing Complexity for Quantum Approaches in Train Load Optimization
Zhijie Tang, Albert Nieto-Morales and Arit Kumar Bishwas
Efficiently planning container loads onto trains is a computationally challenging combinatorial optimization problem, central to logistics and supply chain management. A primary source of this complexity arises from the need to model and reduce rehandle operations-unproductive crane moves required to access blocked containers. Conventional mathematical formulations address this by introducing explicit binary variables and a web of logical constraints for each potential rehandle, resulting in large-scale models that are difficult to solve. This paper presents a fundamental departure from this paradigm. We introduce an innovative and compact mathematical formulation for the Train Load Optimization (TLO) problem where the rehandle cost is calculated implicitly within the objective function. This novel approach helps prevent the need for dedicated rehandle variables and their associated constraints, leading to a dramatic reduction in model size. We provide a formal comparison against a conventional model to analytically demonstrate the significant reduction in the number of variables and constraints. The efficacy of our compact formulation is assessed through a simulated annealing metaheuristic, which finds high-quality loading plans for various problem instances. The results confirm that our model is not only more parsimonious but also practically effective, offering a scalable and powerful tool for modern rail logistics.
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Quantum Physics
Logical-to-Physical Compilation for Reducing Depth in Distributed Quantum Systems
Folkert de Ronde, Stephan Wong and Sebastian Feld
Quantum computing is expected to become a foundational technology for solving problems that exceed the capabilities of classical systems. As
quantum algorithms and hardware technologies continue to advance, the need for scalable architectures becomes increasingly clear. Distributed
quantum computing offers a promising path forward by interconnecting multiple smaller processors into a larger, more powerful system. However, distributed
quantum computing introduces significant
circuit depth overhead, as logical operations are typically decomposed into sequential physical procedures that require
entanglement generation. These sequential operations limit the reliability of
quantum algorithms in the NISQ era due to noise. In this work, we present a compiler that integrates logical-to-physical decomposition with depth-aware rescheduling to reduce the execution cost of distributed
quantum circuits. The compiler identifies sequences of logical CNOT gates that share a control or target
qubit, reschedules them into parallel instruction groups, and applies decompositions that allow multiple gates to be executed simultaneously using distributed shared
entanglement resources. An
algorithm is proposed that ensures parallelism is created when possible while keeping logical equivalence and that
circuit depth is never increased.
Benchmark results demonstrate that the compiler consistently reduces
circuit depth for
circuits containing inherently sequential CNOT structures, while leaving already-parallel
circuits unchanged. These results highlight the value of combining scheduling and hardware-aware decomposition, and establish the compiler as a practical tool for improving the fidelity of distributed
quantum computations.
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Quantum Physics
Non-perturbative CPMG scaling and qutrit-driven breakdown under compiled superconducting-qubit control: a single-qubit study
Jun Ye
Decoherence in superconducting
qubits arises from both multilevel dynamics and structured environmental noise, yet perturbative models cannot capture all resulting signatures. Here, EmuPlat couples instruction-set-architecture-level waveform generation to the hierarchical equations of motion HEOM under $1/f$ non-Markovian pure dephasing. In the resulting non-perturbative regime – where filter-function predictions become quantitatively uninformative – CPMG scaling of a three-level superconducting transmon yields one calibration result, two physical findings, and one structural null. Y-CPMG exhibits axis-dependent scaling-law breakdown – non-monotonic decoherence, partial coherence revival, and pronounced X–Y population asymmetry ($0.204$ vs ${<}\,0.01$) – driven by third-level anharmonicity amplified by bath
memory; X-CPMG maintains well-behaved power-law scaling with a finite-$n$ transient excess consistent with non-Markovian bath-
memory effects. This null result is equally informative: waveform-level differences – Standard versus VPPU realisations – remain undetectable across all coupling strengths. This shows that rotating-frame pure-dephasing coupling renders control-layer detail invisible to scaling observables. These findings define testable predictions, the most experimentally accessible requiring only qualitative verification.
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Quantum Physics · Cross-listed from physics.chem-ph
Quantum Sensing with Triplet Pair States: A Theoretical Study
Maria Grazia Concilio, Yiwen Wang, Siyuan Wang et al. (+1 more)
Molecular
quantum sensors represent a promising frontier for the detection of
nuclear magnetic resonance signals and alternating current
magnetic fields at the nanoscale, potentially reaching single-
proton sensitivity. Although the triplet states of molecular pentacene provide a viable sensing architecture, the triplet pair states produced by singlet fission of pentacene dimers could enable more flexible
quantum manipulations through
entanglement. In this work, we model the
quantum sensing efficacy of a
spin-polarized quintet
manifold in a photoexcited pentacene dimer generated via intramolecular singlet fission. Using a Lindblad master equation approach, we simulate the
evolution of the triplet pair state under standard dynamical decoupling sequences, including
spin echo, XY4, and XY8 and provide a direct performance comparison to the traditional pentacene monomer
benchmark. While both architectures exhibit comparable sensitivity for isolated single-
spin detection, our findings indicate that the dimer architecture provides a superior interaction cross-section for detecting small ensembles of
nuclear spins. Analytical expressions derived for fluorescence modulation demonstrate that sensitivity is optimized in the low-
magnetic field regime and scales with the number of pulses in the sensing protocol. This study establishes a theoretical baseline for utilizing high-
spin multi-excitonic states as chemically tunable, high-sensitivity
quantum probes.
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All authors Maria Grazia Concilio, Yiwen Wang, Siyuan Wang, Xueqian Kong
Quantum Physics
Zhenhai Sun, David Feldstein-Bofill, Ksenia Shagalov et al. (+10 more)
Superconducting transmon
qubits based on hybrid
superconductor-
semiconductor Josephson junctions (gatemons) offer gate tunability, but their relaxation times remain well below those of state-of-the-art transmons, and the origin of this discrepancy is not fully understood. Here, we co-fabricate gatemons and SIS-junction transmons with nominally identical
circuit layouts, gate dielectrics, and control lines, so that the Josephson element is the only intentional distinction. Across multiple chips, transmons in this architecture reach relaxation times in the tens of microseconds, whereas gatemons saturate in the few-microsecond range. Using the transmons as on-chip references, we construct a loss budget including Purcell decay, spontaneous emission through the control line, and internal dielectric loss, and find that the corresponding T1 limits exceed all measured gatemon values by more than an order of magnitude. Temperature-dependent T1 measurements follow a common quasiparticle-activation model and yield similar superconducting gaps for S-Sm-S and SIS junctions, indicating that the reduced gatemon coherence is dominated by additional temperature-independent, junction-intrinsic dissipation.
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All authors Zhenhai Sun, David Feldstein-Bofill, Ksenia Shagalov, Amalie T. J. Paulsen, Casper Wied, Shikhar Singh, Brian D. Isakov, Jacob Hastrup, Christopher W. Warren, Svend Krøjer, Anders Kringhøj, András Gyenis, Morten Kjaergaard
Quantum Physics
Open Quantum Systems from Dynamical Constraints
Yu Su and Yao Wang
Open
quantum systems are traditionally described by decomposing the total
Hilbert space into a system and an external environment, linked by an explicit interaction
Hamiltonian. We propose an alternative framework in which the environment is not introduced as an independent sector a priori, but instead emerges from the dynamical activation of constraints in an initially constrained
quantum system. Within Dirac quantization, the physical degrees of freedom define the system, whereas the constraint sector, once promoted to carry its own dynamics, functions as an environment. In this picture, the system-environment coupling is not added through a separate interaction term, but is encoded directly in the constraint structure. As an example, we study a
quantum particle coupled to a Brownian-oscillator environment and show how the resulting environmental influence can be formulated in this constraint-based setting. Our results provide a new perspective on the origin of
quantum environments and point toward a general framework for open
quantum systems rooted in constrained quantization.
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Quantum Physics
PAEMS: Precise and Adaptive Error Model for Superconducting Quantum Processors
Songhuan He, Yifei Cui, Bo Liu et al. (+2 more)
Superconducting
quantum processor units (QPUs) are incapable of producing massive
datasets for
quantum error correction (QEC) because of hardware limitations. Thus, QEC decoders heavily depend on synthetic data from
qubit error models. Classic depolarizing error models with
polynomial complexity present limited accuracy. Coherent density
matrix methods suffer from exponential complexity $\propto O(4^n)$ where $n$ represents the number of
qubits. This paper introduces PAEMS: a precise and adaptive
qubit error model. Its
qubit-wise separation framework, incorporating leakage propagation, captures error evolvements crossing spatial and temporal domains. Utilizing repetition-code experiment
datasets, PAEMS effectively identifies the intrinsic
qubit errors through an end-to-end optimization pipeline. Experiments on IBM's QPUs have demonstrated a 19.5$\times$, 9.3$\times$, and 5.2$\times$ reduction in timelike, spacelike, and spacetime error correlation, respectively, surpassing all of the previous works. It also outperforms the accuracy of Google's SI1000 error model by 58$\sim$73% on multiple
quantum platforms, including IBM's Brisbane, Sherbrooke, and Torino, as well as China Mobile's Wuyue and China Telecom's Tianyan.
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All authors Songhuan He, Yifei Cui, Bo Liu, Kai Guo, Cheng Wang
Quantum Physics · Cross-listed from cond-mat.mes-hall
Nonlinear hydrodynamic response of a quantum Hall system
Hiroki Isobe
The
quantum Hall effect realizes a quantized
Hall resistance $R_{xy} = h/(\nu e^2)$ whereas the longitudinal resistance vanishes. The quantized value consists of the fundamental physical quantities, the elementary charge $e$ and the Planck constant $h$, along with an integer or fractional constant $\nu$. High precision measurements of $R_{xy}$ allude to a linear relation between the applied current $I$ and the
Hall voltage $V_\mathrm{H}$. Here, we argue that a nonlinear relation between $I$ and $V_\mathrm{H}$ could arise when the electric field is spatially inhomogeneous. We first discuss that the linear $I$-$V_\mathrm{H}$ relation holds with Galilean invariance. Then we consider a hydrodynamic description of a
quantum Hall liquid to deal with an axially symmetric electric field. It reveals a nonlinear electronic response arising from the centrifugal force exerted on a curved flow and the density gradient invoked by vorticity.
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Quantum Physics
YZ-plane measurement-based quantum computation: Universality and Parity Architecture implementation
Jaroslav Kysela, Katharina Ludwig, Nitica Sakharwade et al. (+2 more)
We define the class of register-logic graphs and prove that any uniformly deterministic measurement-based
quantum computation (MBQC) where the inputs coincide with the outputs must be driven on such graphs by measurements in the $YZ$ plane of the Bloch sphere. This observation is revisited in the context that goes beyond uniform determinism, where we present a universal $YZ$-plane-only measurement pattern and establish a connection between $YZ$-plane-only and $XZ$-plane-only patterns. These results conclude the line of research on universal patterns with measurements restricted to one of the principal planes of the Bloch sphere. We further demonstrate, within the framework of the Parity Architecture, that $YZ$-plane patterns with the register-logic graph can be embedded into another graph with purely local interactions, and we extend this case to the scenario of universal
quantum computation.
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All authors Jaroslav Kysela, Katharina Ludwig, Nitica Sakharwade, Anette Messinger, Wolfgang Lechner
Quantum Physics
Multipartite controlled-NOT gates using molecules and Rydberg atoms
Yi-Han Bai, Yue Wei, Chi Zhang et al. (+2 more)
We propose high-fidelity controlled-NOT (CNOT) gates in a hybrid system of polar molecules and Rydberg atoms based on the unconventional Rydberg pumping mechanism. By combining the rich internal structure of polar molecules with the strong dipole-dipole interactions of Rydberg atoms, we realize both two-to-one and one-to-two gate configurations. Numerical simulations show that the gate performance is robust against spontaneous emission from Rydberg states. The approach naturally extends to larger systems, as demonstrated by four-
qubit implementations achieving three-to-one and one-to-three CNOT gates with fidelities exceeding 99%. These results highlight hybrid molecule-Rydberg atom architectures as a promising platform for scalable
quantum information processing.
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All authors Yi-Han Bai, Yue Wei, Chi Zhang, Weibin Li, Xiao-Qiang Shao
Quantum Physics
Jeonghyeok Park, Hyukjoon Kwon and Hyunseok Jeong
We investigate the distribution of
entanglement entropy in hybrid
quantum circuits consisting of random
unitary gates and local measurements applied at a finite rate. We demonstrate that higher moments of the
entanglement entropy distribution, such as the ratio between the variance and the mean and the skewness, capture nontrivial features of the measurement-induced dynamics that are invisible to the mean
entropy alone. We demonstrate that these quantities exhibit distinct and robust behaviors across the volume-law and area-law phases, and can serve as effective diagnostics of measurement-induced
entanglement transitions. We propose a phenomenological model describing the effect of measurements in the area-law regime, which, when combined with the directed
polymer in a random environment description of the volume-law phase, well matches numerical simulations across the entire phase diagram.
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Quantum Physics
Change in bit-flip times of Kerr parametric oscillators caused by their interactions
Yuya Kano, Yohei Kawakami, Shumpei Masuda et al. (+8 more)
We experimentally investigate how interactions between Kerr parametric oscillators (KPOs) degrade their bit-flip times, where a bit flip is defined as a transition between the two degenerate ground states of a KPO. Interactions between KPOs cause
quantum states of KPOs to leak outside the computational subspace, leading to bit flips. Bit flips degrade fidelity and pose a significant problem for KPO-based
quantum information processing. We performed an experiment in which a weak microwave signal is injected into one KPO to emulate
photon injection from another KPO, and find that the bit-flip time decreases by an order of magnitude due to induced excitations, depending on the frequency and power of the injected signal. Methods to mitigate the decrease in bit-flip times caused by interactions between KPOs are discussed, including adjusting the pump frequencies, coherent-state amplitudes, and couplings between KPOs. These findings provide valuable insights for scaling up KPO-based
quantum computers.
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All authors Yuya Kano, Yohei Kawakami, Shumpei Masuda, Tomohiro Yamaji, Aiko Yamaguchi, Tetsuro Satoh, Ayuka Morioka, Kiyotaka Endo, Yuichi Igarashi, Masayuki Shirane, Tsuyoshi Yamamoto
Quantum Physics
A Universal Topological Platform for Nonreciprocal Spin-Photon Interface in Solid-State Quantum Networks
Fang-Yu Hong
A fundamental obstacle to scalable solid-state
quantum networks is the lack of a universal interface providing strong light-matter coupling, deterministic nonreciprocal
photon routing, and efficient extraction. Here we propose a plasmonic platform overcoming these challenges using a Tomonaga-Luttinger
liquid (TLL) in a single-walled carbon nanotube (SWCNT) microtoroid. The TLL's collective bosonic excitations are kinematically protected against backscattering by a large valley-momentum mismatch, guaranteeing robust
chiral spin-momentum locking unattainable in dielectric cavities. This 1D protection enables deterministic routing of circularly polarized
photons from a
quantum emitter (e.g., a nitrogen-vacancy center) into distinct propagation channels. By aligning the emitter's
symmetry axis, parasitic {\pi} transitions are geometrically forbidden. Furthermore, residual atomic-scale backscattering is suppressed to ~100 Hz via electrostatic gating and annealing. To overcome the severe mode mismatch between the CNT plasmon and optical fiber, we introduce a graded plasmonic-photonic mode converter, providing a path to near-unity extraction efficiency. Using a tripod-STIRAP scheme, we demonstrate high-fidelity, magnetically tunable
spin-
photon entanglement. Our analysis confirms operation deep in the strong-coupling regime, with cooperativities C > 100 and
chiral contrast exceeding 20 dB. This wavelength-agnostic architecture is compatible with any solid-state emitter, establishing a scalable blueprint for robust, nonreciprocal
quantum nodes in a global
quantum internet.
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Quantum Physics · Cross-listed from hep-ph
Sebastian Grieninger, Dmitri E. Kharzeev and Eliana Marroquin
We compute the
entanglement entropy and the
entanglement spectrum of the
vacuum state in the massive Schwinger model at a finite $\theta$ angle. By computing two-point correlation functions we show that the correlation length diverges in the critical region. We clarify the physical origin of
entanglement entropy enhancement at $\theta=\pi$ by relating it to the competition between distinct electric-flux
vacuum branches. We show that the peak near $\theta=\pi$ persists across the range of masses studied and corresponds to the point of maximal competition between distinct
vacuum branches with opposite electric-field orientation, where
quantum fluctuations due to
fermion pair creation are maximized. While this
entropy enhancement is generic, a pronounced compression of the low-lying
entanglement spectrum at $\theta=\pi$ distinguishes the near-critical case ($m/g\simeq0.33$). Using the Bisognano–Wichmann (BW)
theorem, we construct a
lattice BW
entanglement Hamiltonian and compare it with the exact modular
Hamiltonian obtained from the reduced density
matrix. We observe agreement in the infrared sector, indicating that the
entanglement Hamiltonian is well approximated by a spatially weighted
Hamiltonian. Finally, we discuss possible applications to
entanglement in topological
insulators and
quantum wires. In this work, we used the chirally rotated formulation of the Schwinger model
Hamiltonian. We identify an additive
vacuum-energy artifact induced by the discretization of the chirally rotated
lattice and derive its exact free-
lattice form to subtract it in the continuum limit.
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Quantum Physics · Cross-listed from hep-th
Analyzing Uniform WKB for Deformed QM Or How Not to Quantize the SW Curve
Dharmesh Jain
We uncover an inconsistency in the uniform WKB quantization of deformed
quantum mechanics.
Quantum Physics
A Framework for Ruling Out Quantum Speedups
Thomas Huffstutler, Upendra Kapshikar, David Miloschewsky et al. (+1 more)
We study when partial Boolean functions can (and cannot) exhibit superpolynomial
quantum query speedups, and develop a general framework for ruling out such speedups via two complementary lenses: promise-aware complexity measures and function completions. First, we introduce promise versions of standard combinatorial measures (including block sensitivity and related variants) and prove that if the relevant promise and completion measures “collapse”, then deterministic and
quantum query complexities are necessarily polynomially related, i.e. $D(f) = \mathrm{poly}(Q(f))$. We then analyze structured families of promises, including symmetric partial functions and promises supported on Hamming slices, obtaining sharp (up to
polynomial factors) characterizations in terms of a single gap parameter for the symmetric case and refined slice-dependent bounds for $k$-slice domains. Next, we formalize completion complexity as the minimum of a measure over total completions of a partial function, and show that completability of a measure captures the possibility of superpolynomial
quantum speedups. Finally, we apply this viewpoint to derive broad non-speedup criteria for some classes of functions admitting well-behaved completions, such as functions defined on a single slice or a union of slices, functions with low maximum influence on both the standard and $p$-biased hypercubes and functions with efficiently identifiable domains, and then show some hardness results for general completion techniques.
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All authors Thomas Huffstutler, Upendra Kapshikar, David Miloschewsky, Supartha Podder
Quantum Physics · Cross-listed from gr-qc
Testing classical-quantum gravity with geodesic deviation
Tomoya Hirotani and Akira Matsumura
A novel semiclassical
gravity model proposed by Oppenheim et al., that consistently describes interactions between
quantum systems and a classical gravitational field, has recently attracted considerable
attention. However, the limitations and phenomenological viability of this model have not yet been thoroughly investigated. In this work, based on the model, we study
quantum fluctuations of geodesic deviation coupled with a classical gravitational field. We analytically derive the strain spectrum expected from the fluctuations and show that the original Oppenheim et al. model can be tested with the current observational sensitivity of gravitational-wave experiments. Furthermore, motivated by the novel semiclassical model, we construct two additional models: a modified Oppenheim et al. model that is manifestly consistent with Einstein equation, and a classical-
quantum model with environment-induced noise. We analyze the strain spectra predicted by these two models through comparison with those of the original Oppenheim et al. model and perturbative
quantum gravity.
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Quantum Physics
Direct measurement of the energy spectrum of a quantum dot qubit
J. Reily, Daniel J. King, Jonathan C. Marcks et al. (+8 more)
The mapping between gate voltages applied to a double
quantum dot, and the parameters of a Hubbard-like
Hamiltonian, is of utmost importance for understanding and operating
spin qubits. State-of-the-art techniques for measuring
Hamiltonian parameters (e.g., detuning axis pulsed spectroscopy, DAPS) provide details about energy levels; however, tunnel coupling estimates typically reveal only a small portion of the full
Hamiltonian. Here, we demonstrate a
Hamiltonian-agnostic technique for measuring the double dot energy spectrum over a wide energy range, at every value of the detuning, called delta-axis spectroscopy (DAXS). We apply the DAXS method to obtain the energy spectrum of a Si/SiGe double
quantum dot and use this data to extract the diagonal and off-diagonal couplings of a 15-level Hubbard-like
Hamiltonian, demonstrating very good agreement with the experimental measurements.
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All authors J. Reily, Daniel J. King, Jonathan C. Marcks, M.A. Wolfe, Piotr Marciniec, E.S. Joseph, Tyler J. Kovach, Brighton X. Coe, Mark Friesen, Benjamin D. Woods, M.A. Eriksson
Quantum Physics · Cross-listed from math.OC
Pointwise and dynamic programming control synthesis for finite-level open quantum memory systems
Igor G. Vladimirov, Ian R. Petersen and Guodong Shi
This paper is concerned with finite-level
quantum memory systems for retaining initial dynamic variables in the presence of external
quantum noise. The system variables have an algebraic structure, similar to that of the Pauli
matrices, and their Heisenberg picture
evolution is governed by a quasilinear
quantum stochastic differential equation. The latter involves a
Hamiltonian whose parameters depend affinely on a classical control signal in the form of a deterministic function of time. The
memory performance is quantified by a mean-square deviation of
quantum system variables of interest from their initial conditions. We relate this functional to a
matrix-valued state of an auxiliary classical control-affine dynamical system. This leads to a pointwise control design where the control signal minimises the time-derivative of the mean-square deviation with an additional quadratic penalty on the control. In an alternative finite-horizon setting with a terminal-integral cost functional, we apply dynamic programming and obtain a quadratically nonlinear Hamilton-Jacobi-Bellman equation, for which a solution is outlined in the form of a recursively computed asymptotic expansion.
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Quantum Physics · Cross-listed from cond-mat.quant-gas
Generation of dipolar supersolids through a barrier sweep in droplet lattices
E. L. Brakensiek, G. A. Bougas and S. I. Mistakidis
We propose a dynamical protocol to generate supersolids in dipolar
quantum gases by sweeping a repulsive Gaussian barrier through an incoherent quasi-one-dimensional droplet array. Supersolidity is inferred by monitoring the ensuing dynamics of the density, momentum distribution, center-of-mass motion, and superfluid fraction within the framework of the extended Gross-Pitaevskii equation with
quantum corrections. A persistent superfluid background arises, atop which the
crystals oscillate in unison, indicating the establishment of phase coherence. This process is accompanied by energy redistribution and the gradual transfer of higher-lying momenta toward the zero momentum mode. The dependence of the superfluid fraction on the barrier velocity and height is also elucidated evincing the parametric regions which facilitate the rise of a superfluid background. Our results pave the way for engineering supersolid generation using experimentally accessible protocols.
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Quantum Physics · Cross-listed from math.SG
A Floer Theoretic Approach to Energy Eigenstates on one Dimensional Configuration Spaces
Kevin Ruck
In this article we consider two classical problems in
Quantum Mechanics, namely the 'particle on a ring' and the 'particle in a box' from the viewpoint of
symplectic topology. Interpreting the solutions of the corresponding time independent Schrödinger equation as orbits in a suitably chosen time dependent
Hamiltonian system allows us to investigate them using Floer theory. More precisely we extend the definition of Rabinowitz Floer homology to non-autonomous
Hamiltonians on $\mathbb{R}^{2n}$ with its standard
symplectic structure and show that compactness of the
moduli space of J-holomorphic curves still holds. With this homology we are then able to prove existence results for energy $E$ eigenstates on the 'ring' or in the 'box' for a big range of exterior potentials.
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Quantum Physics
Calculating the quantum Fisher information via the truncated Wigner method
Thakur G. M. Hiranandani, Joseph J. Hope and Simon A. Haine
In this work, we propose new methods of parameter estimation using
stochastic sampling
quantum phase-space simulations. We show that it is possible to compute the
quantum Fisher information (QFI) from semiclassical
stochastic samples using the Truncated Wigner Approximation (TWA). This method extends the class of
quantum systems whose fundamental sensitivity limit can be computed efficiently to any system that can be modelled using the TWA, allowing the analysis of more meteorologically useful
quantum states. We illustrate this approach with examples, including a system that evolves outside the
spin-squeezing regime, where the method of moments fails.
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Quantum Physics · Cross-listed from cond-mat.mes-hall
Quantum Fisher information in many-photon states from shift current shot noise
Evgenii Barts, Takahiro Morimoto and Naoto Nagaosa
Quantum Fisher information (QFI) sets the ultimate precision of optical phase measurements and reveals multiphoton
entanglement, but it is not accessible with conventional photodetection. We theoretically predict that a photodetector utilizing the shot noise of the
quantum-
geometric shift current of
exciton polaritons can directly measure the QFI of nonclassical light. By solving the Lindblad equation, we obtain the time-dependent nonlinear photocurrent for an arbitrary initial
photon state. It turns out that, regardless of the
quantum state of the incident light, the integrated current depends only on the mean
photon number. In stark contrast, the shot noise retains the
quantum information: its Fano factor is proportional to the
photon number variance and therefore encodes the QFI. Numerical calculations confirm these relations for illumination with optical Schrödinger cat and squeezed
vacuum states.
Quantum correlations in nonclassical light, usually hidden from direct detection, become observable in the form of shift current shot noise
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