Quantum Physics · Cross-listed from math-ph
Self-adjoint extensions of $k$-photon light-matter Hamiltonians
Felix Fischer, Felix Knapp, Daniel Burgarth et al. (+1 more)
Multiphoton light-matter interactions, in which a bosonic mode exchanges $k$ excitations at a time with a
quantum system, are a source of genuine nonlinearity in
quantum optics and are increasingly accessible experimentally. Here we study the class of operators $H = H_{\rm mat}\otimes I + I\otimes\omega a^\ast a + \Sigma\otimes(a^\ast)^k + \Sigma^\ast\otimes a^k$ on $\mathcal{H}\otimes L^2(\mathbb{R})$, coupling a single bosonic mode to an arbitrary matter system through a bounded operator $\Sigma$. When $\Sigma$ is normal and nonzero, we prove that $H$ is self-adjoint if and only if $k\leq2$; for $k\geq3$ we compute the deficiency indices, parametrise all self-adjoint extensions, and show that every extension has purely discrete spectrum whenever the matter system is finite-dimensional. Our analysis rests on a block Jacobi decomposition paired with a suitable
unitary transformation depending on the polar decomposition of $\Sigma$. The normality of $\Sigma$ is optimal: a $k$-
photon Jaynes-Cummings model, with non-normal coupling, remains self-adjoint for every $k$. We illustrate our results on the $k$-
photon Rabi and Dicke models.
Read the full abstract ▾
All authors Felix Fischer, Felix Knapp, Daniel Burgarth, Davide Lonigro
Quantum Physics
Metrology of quantum imaging schemes
Emma Brambila and Giacomo Sorelli
We compare the performance of
quantum imaging schemes based on spatially correlated
photon pairs by formulating them as
quantum multiparameter estimation problems, in which the object is characterized by transmission coefficients associated with different spatial modes. Our work focuses on standard
quantum imaging techniques such as ghost imaging, two-
photon imaging, and imaging with undetected
photons. Specifically, we compute the
quantum Fisher information
matrices and show that they are saturated by Fisher information
matrices corresponding to measurements in the object-mode basis, which generalize the common detection schemes employed in each imaging configuration. We find that ghost imaging and two-
photon imaging generally provide higher precision for transmission estimation than imaging with undetected
photons, but the latter is the only one that naturally does not couple transmission estimation across different spatial modes. These results identify which imaging protocols are best suited for specific tasks and provide practical guidelines for the design and optimization of
quantum sensing technologies based on spatial correlations.
Read the full abstract ▾
Quantum Physics
Quantum-informed surrogate sampling for combinatorial optimization
Elisabeth Wybo and Jernej Rudi Finžgar
We introduce
Quantum-Informed Surrogate Sampling (QISS), a post-processing framework that generates candidate solutions to combinatorial optimization problems from low-weight correlations of shallow
quantum circuits. The
quantum device estimates local observables, which are directly accessible by repeated measurements and for which a wide range of error-mitigation tools are available, while candidate solutions are generated classically without explicit dependence on the combinatorial optimization problem itself. We evaluate QISS on Maximum Cut and Maximum Independent Set problems on $N$ variables and show that only $O(N)$ low-order correlators from shallow
circuits suffice to produce competitive solutions that surpass vanilla QAOA. For MaxCut on 3-regular graphs, QISS from $p=3$ QAOA correlators outperforms vanilla QAOA at $p=17$ on average, with further improvements possible by warm-starting QAOA. We validate the procedure on the 54-
qubit IQM Emerald
quantum device and demonstrate its noise resilience. Our results support a regime for near-term optimization in which shallow
circuits serve not as direct samplers but as generators of informative statistics for scalable classical sampling.
Read the full abstract ▾
Quantum Physics · Cross-listed from physics.optics
Fluctuational Quantum Electrodynamics of Dispersive Time-Varying Media
Jaime E. Sustaeta-Osuna, Thomas F. Allard, Francisco J. García-Vidal et al. (+1 more)
We present the theoretical framework of fluctuational
quantum electrodynamics in frequency-dispersive and dissipative time-varying media. Our theory accounts for dispersion and losses in the temporal modulation, which is treated in an exact manner, without relying on perturbative methods. Thus, our work constitutes the first consistent quantization of the electromagnetic field in time-modulated material bodies. We derive a
Fermi Golden Rule for time-varying media and use it to define the local density of states for these time-dependent systems, which includes both loss and gain contributions. Additionally, we prove the equivalence between the
quantum Fermi Golden Rule and the power emitted by a classical harmonic point dipole. Moreover, we show that neglecting the dispersive and dissipative nature of the time modulation leads to erroneous predictions for both slow and fast modulations. Furthermore, we analyze the thermal radiation emitted by a time-varying material body, revealing new features in the enhancement of thermal emission in time-varying media. Finally, we study the dynamical Casimir effect, showing how the time modulation amplifies
vacuum fluctuations and generates entangled pairs of polaritons exhibiting non-local spatial correlations.
Read the full abstract ▾
All authors Jaime E. Sustaeta-Osuna, Thomas F. Allard, Francisco J. García-Vidal, Paloma A. Huidobro
Quantum Physics
Klein tunneling through an asymmetric barrier: Symmetric transmission and directional pair creation
Andre G. Campos and Denys I. Bondar
We prove that the transmission probability for the Klein tunneling through a spatially asymmetric barrier is the same for left and right incidence whenever each asymptotic lead carries a single propagating channel per direction. Time-dependent Wigner-function simulations confirm this and locate the missing directionality in the barrier's interior, where a sharp edge generates several times more under-barrier negative-energy population than a smooth one. Directional control in the Klein regime therefore resides in pair production rather than in the transmitted current.
Read the full abstract ▾
Quantum Physics · Cross-listed from physics.acc-ph
Robustness of Off-Axis Electron Vortices in Nonuniform Magnetic Fields
Hui-Dong Huang, Qi Meng, Zhi-Bin Wang et al. (+3 more)
Rotational
symmetry protects the topological charge of on-axis electron
vortices but not of off-axis
vortices. We identify an additional SU(1,1) dynamical invariant that guarantees conservation of their intrinsic orbital angular momentum within the near-axis approximation. First-principles simulations of an off-axis electron
vortex traversing a Glaser lens confirm this prediction, establishing a robust transport mechanism in axisymmetric nonuniform
magnetic fields.
Read the full abstract ▾
All authors Hui-Dong Huang, Qi Meng, Zhi-Bin Wang, Liang Lu, Jian Chen, Li-Ping Zou
Quantum Physics · Cross-listed from cond-mat.str-el
Unconventional $\mathbb{Z}_2\times\mathbb{Z}_2\times\mathbb{Z}_2$ topological order in the kagome XY toric code
C. Kölbl, M. Vieweg and K.P. Schmidt
We investigate the
quantum phase diagram of the XY toric code (XYTC) on the kagome
lattice consisting of $XY$ hexagonal and triangular plaquette operators and conserved
star operators. We demonstrate analytically by exploiting an exact local $\mathbb{Z}_2$-
symmetry on dodecagons that the kagome XYTC realizes a $\mathbb{Z}_2\times\mathbb{Z}_2\times\mathbb{Z}_2$ topologically ordered phase in the limit of large hexagonal \mbox{plaquette} operators. This unconventional topological phase involves 64 quasi-particles - Abelian anyons - with restricted mobility on three colored sublattices establishing a
quantum dimension of eight. The large number of topological superselection sectors originates from six independent Wilson loop operators, acting as emergent one-form
symmetries. The resulting anyon structure is richer than that of established topological codes like the toric and the color code. A corresponding CSS topological stabilizer code is formulated, opening novel possibilities for the encoding and manipulation of topological
quantum information.
Read the full abstract ▾
Quantum Physics · Cross-listed from cond-mat.mtrl-sci
Substrate-metal interface engineering enhances TaN/Ta thin film superconducting resonator performance
Moritz Singer, Harsh Gupta, Benedikt Schoof et al. (+6 more)
Tantalum has been demonstrated as a promising material for superconducting
qubits. However, comparatively little
attention has been given to its nitrides. Tantalum nitride exhibits a range of stoichiometries, resulting in a variety of material properties, including both superconducting and non-superconducting phases. Owing to this versatility, tantalum nitrides can serve multiple purposes in superconducting
qubits: as seed layers for alpha-Ta growth, as a superconducting base material and as a non-superconducting barrier in the Josephson junction. In this study, we explore the performance of superconducting TaN and Ta thin film combinations on silicon substrates in terms of internal quality factor Qi. We find that standalone TaN films exhibit Qi values of about 1.5x10^5 at 100mK in the single-
photon regime. Surprisingly, a resonator made from Ta grown on a few-nanometers-thick TaN seed layer yields largely the same performance. However, adding an additional, few-nanometers-thick Ta buffer layer between the Si substrate and this TaN seed layer enhances Qi significantly up to 5.9x10^5. Supporting transmission electron microscopy measurements reveal nitrogen accumulation and structural disorder at the TaN-Si interface, while this interfacial modification is suppressed when the Ta buffer layer is introduced. The observed improvement in resonator performance is consistent with a reduction of interface-related two-level system losses and strongly supports the hypothesis that controlling the substrate-metal interface is pivotal for the performance of superconducting
qubit circuitry.
Read the full abstract ▾
All authors Moritz Singer, Harsh Gupta, Benedikt Schoof, Elena Willinger, Anton Orekhov, Alexandra Schewski, Samuil Kostadinov, Philip Constantin Schneider, Marc Tornow
Quantum Physics · Cross-listed from cond-mat.quant-gas
Understanding interaction-driven transport in flux lattices with evolution-path symmetry
Jian-Song Pan, Xiaofan Zhou and Wei Yi
The destruction of Aharonov-Bohm (AB) caging by interaction and the emergence of interaction-induced
chiral currents in flux
lattices are two paradigmatic examples of interaction-driven
quantum transport. While various mechanisms, such as bound-state formation and
chiral spectral imbalance, have been proposed, a unifying physical picture remains elusive. Here, we employ the concept of
evolution-path
symmetry (EPS) and its interaction-induced breaking as a framework to understand interaction-induced delocalization in flux
lattices. EPS is defined as the invariance of a path's contribution under combined
geometric and phase transformations. We demonstrate that in a $\pi$-flux rhombic
lattice, interactions break the EPS present in the non-interacting limit by modifying the phase accumulation of many-body paths, thereby lifting the destructive interference responsible for AB caging. Furthermore, we apply this framework to explain interaction-induced
chiral transport in flux ladders, where interactions break the phase relationship between symmetric paths, leading to a non-vanishing
chiral current. Our work establishes EPS as a powerful tool for understanding transport phenomena beyond conventional eigenstate analysis.
Read the full abstract ▾
Quantum Physics · Cross-listed from cond-mat.str-el
When Can a Cavity Move a Mott Transition? A Spectral-Density Criterion within Gutzwiller Theory
Nikhil Vamsodharakan Seshadri and Yu Zhang
Can
vacuum electromagnetic fluctuations shift a bulk Mott transition? Within the Gutzwiller variational method, we derive a criterion that separates collective spectroscopic hybridization from thermodynamic phase control. We show that a Mott transition shifts only when the electromagnetic environment supplies finite thermodynamic spectral weight with bond-scale variation. A joint frequency–spatial Pauli–Fierz density gives the leading shift. Surface
phonon polaritons yield a $d^{-3}$-to-$d^{-5}$ crossover, while finite-coordination variational Monte Carlo supports the predicted critical coefficient and $M/N$ scaling.
Read the full abstract ▾
Quantum Physics
The Threshold Theorem in Watts: Fault Tolerance as a Question About Objective Probability
Amit Hagar
In 2011 Hagar & Sergioli proposed a new interpretation of objective probability in deterministic physics. On it, the probability of a physical state supervenes on the resources, energy over time, required to realize it from a given state, relative to the resources available (arXiv:1101.3521). The motivation for that paper was an objective alternative to QBism, the view that sees
quantum probabilities as subjective degrees of belief. Here I apply this interpretation to a more practical subject matter: fault-tolerant
quantum computing (FTQC). Under the resource-bounded measure Hagar & Sergioli proposed, the threshold
theorem becomes a claim about classification: it asserts that error-corrected logical states belong to the class of relatively cheaply realizable states, whose probability remains near 1 as the machine grows. The
theorem originally derived this claim from a resource inventory that was partial, and left out four resources consumed by error correction: calibration of a drifting device, decoding within the correction cycle, coherence as a finite time budget, and
entropy flush through fresh ancillas. These entered the original derivation at zero price. Here I translate the feasibility of FTQC into a measurable quantity, watts per decade of suppressed logical error (a decade, in the engineer's usage, being one factor of ten in the error rate). I then show that the published record already contains its first data points for this translation, and I state the two measurements that would settle the question empirically. The three-decade debate on FTQC, conducted so far as an exchange about noise-model assumptions, turns out to be, under this interpretation, a quantitative dispute about a single object: the resource-bounded objective probability of the target logical states.
Read the full abstract ▾
Quantum Physics
Low loss superconducting resonators enabled by aluminum microstructural engineering and dielectric trimming
Mahmoud Almansouri, Umar T. F. Alhuwaymel, Ibraheem AlYousef et al. (+5 more)
Material losses in superconducting
circuits fundamentally limit
qubit coherence times and resonator quality factors. Most research efforts focus on mitigating losses at
circuit interfaces, including metal–substrate, substrate–air, and metal–air interfaces. However, the correlation between TLS and non-TLS losses with the intrinsic properties of the superconducting metal and the dielectric edge smoothness is not well studied. In this work, we link the aluminum film grain size to non-TLS losses and the dielectric trimming profile and roughness to TLS loss; both loss mechanisms are subsequently mitigated. To reduce metal-related losses, we engineer the aluminum microstructure by heating during deposition, increasing grain size and reducing grain boundary density. Beyond mitigating metal losses, we introduce a two-step etching technique, Tropic etching, to suppress dielectric TLS loss by producing an ultra-smooth silicon surface with minimal defects and redeposition. These results lay out the fabrication pathway for aluminum resonators with lower loss, demonstrating two-orders-of-magnitude improvement in quality factor from $6\times10^{4}$ to $2.3\times10^{6}$. Since aluminum is the basis for most high-coherence Josephson junctions and dielectric edges are inherent to all common device geometries, the improvements in aluminum microstructure and edge profiling, presented here, can enhance the performance of superconducting
quantum devices.
Read the full abstract ▾
All authors Mahmoud Almansouri, Umar T. F. Alhuwaymel, Ibraheem AlYousef, Albaraa Shafi, Abdullah Albogime, Igor Getmanov, Ahmed Hajr, Atif Shamim
Quantum Physics
Lower bounds for the CNOT-complexity of linear reversible operators
Søren Fuglede Jørgensen
The CNOT-complexity of an invertible
matrix over $\mathbb{F}_2$ is the minimum number of CNOT gates needed to synthesize the corresponding linear reversible operator. While the maximum CNOT-complexity over all $n \times n$
matrices is known to be $\Theta(n^2 / \log n)$, no explicit family of
matrices requiring a superlinear number of CNOT gates is known, and until now the hardest explicitly known family has been the cyclic permutations, with CNOT-complexity $3(n-1)$. We show that lower bounds for the additive complexity of not-necessarily-reversible linear operators can be lifted to the reversible setting with only a small loss. As an application, we use this to describe an explicit family of
matrices, constructed from parity-check
matrices of error-correcting codes, with CNOT-complexity at least $4n - o(n)$, asymptotically surpassing the cyclic permutations. Moreover, this construction yields an explicit
matrix $A \in \mathrm{GL}_{n}(\mathbb{F}_2)$, $n = 17167$, whose CNOT-complexity exceeds that of the cyclic permutation on $n$ symbols.
Read the full abstract ▾
Quantum Physics · Cross-listed from cond-mat.quant-gas
Ashton S. Bradley, Tyler W. Neely, Xiaoquan Yu et al. (+1 more)
We review
turbulence in ultracold
quantum gases, using the scalar contact-interaction Bose-Einstein condensate as the reference system for quantized circulation, compressibility,
vortices, sound, and cascades. We focus on the quantitative diagnostics that connect helium and classical phenomenology to microscopic wave-function dynamics: incompressible and compressible kinetic-energy spectra, wave-occupation spectra, spectral fluxes,
vortex-resolved correlations, and velocity statistics. These diagnostics distinguish
equilibrium vortex organization, decaying turbulent relaxation, forced cascade dynamics, and weak-wave
turbulence, and show why power laws alone are insufficient evidence for a cascade. We survey experiments on two-dimensional Onsager clustering, three-dimensional
vortex-line
turbulence, box-trap wave cascades, engineered dissipation, and turbulent equations of state. We close by briefly placing the contact-interaction scalar superfluid system in a broader landscape of nonlocal, multicomponent, fermionic, and driven-dissipative
quantum fluids, where
turbulence concepts can be tested for universality.
Read the full abstract ▾
All authors Ashton S. Bradley, Tyler W. Neely, Xiaoquan Yu, Brian P. Anderson
Quantum Physics
Dark Polaron Theory for High Intensity Laser Cooling
Marcel Morillas-Rozas, Alberto López-García, Enamul Haque et al. (+2 more)
Conventional
laser control schemes for cooling and gate operation of trapped ions are limited to the regime of weak
laser intensities and small Lamb-Dicke parameters. To overcome this limitation, we present the concept of dark polarons: spatially extended states of pseudospin polarization that are fully decoupled from a lambda
laser configuration. In this picture, all high-order Lamb-Dicke terms collapse into a single linear coupling independent of
laser intensity. We apply it to definitively elucidate the reasons behind cooling rate limitations observed in recent experimental implementations of electromagnetically induced transparency with high-intensity
lasers.
Read the full abstract ▾
All authors Marcel Morillas-Rozas, Alberto López-García, Enamul Haque, Gonzalo Reina Rivero, Javier Cerrillo
Quantum Physics
Maximal Fisher Budget Forces Blind Directions in Bipartite Collective SU(d) Metrology
Tariq Aziz, Naeem Akhtar, Dong Wang et al. (+1 more)
For pure two-qudit probes used in a single fixed setting to estimate a common SU(d) transformation, maximal total Fisher sensitivity and full local identifiability are mutually exclusive. We derive exact identities that determine the trace of the
quantum Fisher information
matrix from two measurable probe properties: exchange
symmetry and collective polarization. Every maximizer is exchange symmetric and maximally entangled. Its Fisher
matrix has equal sensitivity in every visible direction, while $d(d-1)/2$ generator directions are blind. More generally, weak compatibility, defined by vanishing mean generator commutators, forces at least $\lfloor d/2\rfloor$ blind directions for every pure bipartite probe. A probe-defined antiunitary invariant classifies the complete Fisher spectrum at maximal
entanglement, and approaches to the optimum that preserve exchange
symmetry have a divergent Holevo cost. The bipartite obstruction is sharp in particle number: for $N\geq 3$, generalized GHZ probes can satisfy weak compatibility, attain the corresponding $N$-partite Fisher trace bound, and retain full local identifiability. Hence, Fisher sensitivity, weak compatibility, identifiability, and attainable precision are distinct resources in
quantum metrology with noncommuting generators.
Read the full abstract ▾
All authors Tariq Aziz, Naeem Akhtar, Dong Wang, Augusto Smerzi
Quantum Physics
Molecular chiral discrimination through symmetry-breaking spin dynamics
Tianyu Xie, Yucheng Hao, Mingzhe Liu et al. (+7 more)
Molecular chirality plays a crucial role in physics, chemistry, life sciences and pharmacology. Nowadays, the
chiral discrimination and control at the single-molecule level is urgently needed to reveal the origin of the chirality-relevant phenomena by recovering the information disturbed by the ensemble averaging. The method of
magnetic resonance (MR), as one of powerful tools for structure analysis, is blind to the molecular chirality in the absence of a
chiral reagent. Here we propose and experimentally demonstrate a direct MR-based method for determining the chirality at the single-molecule level through constructing the
symmetry-breaking dynamics of nearby
nuclear spins. In principle, the mirror asymmetry of two enantiomers in real space is manifested by breaking the joint
symmetry of the mirror reflection and time reversal in
spin space under
spin dynamics. Experimentally, two enantiomers are indistinguishable from the dynamics of strongly-coupled but unpolarized
nuclear spins, but diverge evidently in the dynamical results that break the field-inversion
symmetry after
spins are polarized. Our method and results will benefit the study of chirality-induced properties in the fields of chemistry and biology.
Read the full abstract ▾
All authors Tianyu Xie, Yucheng Hao, Mingzhe Liu, Mengqi Wang, Shaoyi Xu, Zhiyuan Zhao, Chang-Kui Duan, Ya Wang, Fazhan Shi, Jiangfeng Du
Quantum Physics
Mitigating Capacitive Loading Enables Fast Two-Qubit Gates in Highly Connected Fluxonium Quantum Processors
Quan Guan, Guo Xuan Chan, Xu Dou et al. (+2 more)
Fluxonium
qubits combine long coherence times with strong anharmonicity, making them attractive for scalable superconducting
quantum processors. Recent experiments have demonstrated high-fidelity two-
qubit gates and multi-
qubit entanglement in one-dimensional and connectivity-four fluxonium processors, motivating their extension to highly connected two-dimensional (2D) architectures. A central challenge in this extension is to achieve strong coupling to multiple
circuit elements while preserving the finite capacitance budget of fluxonium
qubits, which constrains the attainable
qubit-
qubit effective coupling strength and, consequently, two-
qubit gate performance. Here, we establish a unified theoretical framework that identifies the connectivity-dependent upper bound on capacitive coupling and quantifies its reduction by distinct parasitic-capacitance channels, applicable across both fluxonium and transmon regimes. We show that pad-to-ground loading is primarily geometry limited and can be substantially suppressed through
qubit-pad engineering, whereas inter-pad loading is ultimately constrained by parasitic capacitances of Josephson junctions and Josephson junction arrays. Building on these insights, we formulate practical design principles and numerically demonstrate two-
qubit gates as fast as 27 ns and leakage-induced infidelity below $10^{-3}$ under representative fabrication variations in 2D fluxonium architectures. These results establish a quantitative framework for understanding and mitigating capacitive loading, suggesting that it does not impose a fundamental performance limit on highly connected fluxonium processors.
Read the full abstract ▾
All authors Quan Guan, Guo Xuan Chan, Xu Dou, Chunqing Deng, Lijing Jin
Quantum Physics
Weak Permanent Anti-Concentration for Random Gaussian Matrices in Boson Sampling
Fei Meng, Bin Cheng, Jianan Li et al. (+1 more)
Recent demonstrations of
quantum computational advantage have been driven largely by sampling problems. A prominent model,
boson sampling, involves sampling from the output distribution of a linear optical network. However, its classical hardness hinges on two plausible yet less-studied
conjectures: the average-case hardness of approximating Gaussian permanents, and the permanent anti-concentration
conjecture (PACC). The PACC is a purely mathematical assertion regarding the distributional properties of random Gaussian
matrices. While the typical magnitude of the permanent has been established for discrete random
matrices, the complex Gaussian case, which governs transition amplitudes in linear optical networks, has remained open. Here, we establish a weak anti-concentration bound by upper-bounding the probability that a random Gaussian permanent is superexponentially smaller than its standard deviation. Tightening this bound to an inverse-
polynomial fraction would prove the original PACC. As a corollary, we establish the typical magnitude of Gaussian permanents, on par with Tao and Vu's seminal result for Bernoulli
matrices. Combined with the Aaronson-Arkhipov framework, our result implies that classically simulating
boson sampling to within a superexponentially small total variation distance would collapse the
polynomial hierarchy, assuming the remaining
conjectures hold.
Read the full abstract ▾
All authors Fei Meng, Bin Cheng, Jianan Li, Man-Hong Yung
Quantum Physics
Optical time travel: proposal for testing Hawking's Chronology Protection Conjecture in an optical analogue
D. Bermudez and U. Leonhardt
Classical general relativity allows time travel, but Hawking [Phys. Rev. D 46, 603 (1992)] conjectured that
quantum mechanics ultimately prevents it. Here we propose a feasible experiment to test Hawking's Chronology Protection
Conjecture in optics. In this scheme, time travel is inherently related to lasing, and the amplified
vacuum fluctuations above
laser threshold establish the
quantum limits of time travel
Read the full abstract ▾
Quantum Physics
Norm of resonance states in quantum scattering and electromagnetic systems
Florian Lorenz, Jan Möseritz-Schmidt and Roland Ketzmerick
Resonance states spatially diverge and are thus not square integrable. Instead, their norm is defined by the biorthogonal scalar product of left and right states. We replace the corresponding volume integral by a convenient boundary integral in piecewise homogeneous systems and apply this procedure to diverse physical settings. For a
quantum particle in any number of dimensions we treat hard-wall and piecewise constant potentials. For electromagnetic systems with piecewise homogeneous material properties, we consider three-dimensional and effectively two-dimensional cavities of arbitrary shape. As examples, we treat the spherical scatterer and the circular disk.
Read the full abstract ▾
Quantum Physics
QC-PHAST Search: Classical–Quantum Query Benchmarks for Finite-Pool Rare-Regime Discovery
Harsh Milind Tirhekar and Chandrajit Bajaj
Rare-regime discovery in parameterized dynamical systems is an active-search problem: find one verified parameter at which a scientifically defined qualitative threshold is crossed, even when acceptable candidates are rare, nonconvex, or fragmented. We introduce
Quantum-Classical Phase-space and Stability-Threshold Search (QC-PHAST), an evidence-gated decision protocol and query-accounting framework for finite candidate libraries. A candidate induces a dynamical object, simulator-derived criticality score, and verified first-hit predicate. Scientific metadata and charged pilot evidence are used to assess whether equation-aware search, scalar-score active search, predicate-only search, or only a query-model comparison is admissible. The
quantum row is the inherited Grover/Boyer–Brassard–Hoyer–Tapp (BBHT) unknown-$M$ marked-set query reference; it is not a new
quantum-search
theorem, materialized
circuit, or hardware-speedup claim. The result is a regime map. Direct boundary constructions, geometry controls, online simulator loops, and learned-label accounting further identify when classical structure, false positives, calibration cost, or state preparation erases the query-model margin. QC-PHAST is therefore an auditable protocol for deciding when a finite-pool marked-set reference is informative and when classical or resource-aware search should dominate.
Read the full abstract ▾
Quantum Physics
Proposal for Estimating the Energy Gap of the Transverse-Field Ising Hamiltonian Using a D-Wave Quantum Annealer
Kota Yamada and Yuichiro Matsuzaki
The transverse-field Ising model is a fundamental
quantum spin system that captures the competition between
quantum fluctuations and interactions, playing a central role in studies of
quantum phase transitions and non-
equilibrium dynamics. However, classical computations of ground and excited states in large-scale or high-dimensional systems are severely limited by the exponential growth of the
Hilbert space. Here, we propose a novel approach using a D-Wave
quantum annealer, where a triangular-wave oscillating
magnetic field is applied to induce Rabi oscillations, allowing the estimation of energy gaps between the ground and excited states. Unlike conventional
quantum annealing methods limited to ground-state searches, this approach can directly access excited-state information. It is potentially applicable to larger systems, providing a new avenue for
quantum-device-based simulation. The validity of the method is demonstrated through numerical simulations of relatively small systems.
Read the full abstract ▾
Quantum Physics
Quantum multi-label k-nearest neighbor
Yilin Shen and Qin Liao
Although multi-label k-nearest neighbor (ML-kNN) is able to effectively solve multi-label learning (MLL) problem with local neighborhood similarity, its time complexity is nearly unacceptable with large-scale
datasets. To solve this issue, we propose a novel ML-kNN
algorithm with
quantum computing techniques, which called
quantum multi-label k-nearest neighbor (QML-kNN). In particular, we first accelerate the calculation of the prior probability by taking advantage of
quantum phase estimation and Grover's amplitude amplification. Then, a controlled-SWAP test and a
quantum k-maximal similarity search are used for efficiently identifying the neighbors. Subsequently, a
quantum parallel counting
circuit (QPCC) is designed to rapidly calculate the posterior probabilities. Experimental results demonstrate that QML-kNN is able to significantly reduce the time complexity of solving multi-label problems with performance improvement, achieving a substantial speedup over the classical MLL
algorithm.
Read the full abstract ▾
Quantum Physics
Entanglement purification for arbitrary multipartite high-dimensional Greenberger-Horne-Zeilinger state
Yu-Qing Kong, Jia-Ye Liu, Hui-Hui Kong et al. (+1 more)
High-dimensional qudit (i.e., $d$-level or $d$-state) systems outperform two-dimensional
qubit (i.e., 2-level or 2-state) systems in some
quantum information processing tasks. We exploit
entanglement purification protocols (EPPs) for extracting a subset of high quality arbitrary $d$-dimensional $n$-partite Greenberger-Horne-Zeilinger (GHZ) states from a large set of less entangled GHZ states. In our protocols, qudit-flip and phase-flip errors can be corrected, and the fidelity of the output state can be asymptotically improved to unity by iterating the EPP process. Moreover, the schemes are immune to the number of polluted
photons, the fidelity thresholds of the proposed EPPs are developed, and the spatial-based single-qudit operations can be well manipulated with a range of balanced beam splitters, and phase shifters. These features make the proposed schemes offer an alternative method for high-dimensional multipartite
entanglement purification.
Read the full abstract ▾
All authors Yu-Qing Kong, Jia-Ye Liu, Hui-Hui Kong, Hai-Rui Wei
Quantum Physics
Quantum advantage of nonlinear quantum battery and superconducting circuit implementation
Wei-Jun Han, Peng-Yu Sun and Guo-Feng Zhang
A
quantum battery is a novel energy storage device that operates on the principles of
quantum mechanics. To enhance the charging performance of
quantum batteries and further provide theoretical support for their physical implementation, we constructed an optical-field-dependent nonlinear
quantum battery model. Meanwhile, we solved for the unbiased form of nonlinear interactions in this model, where the charging power of the proposed model exhibits a superlinear
quantum advantage, and the charging time saturates the
quantum speed limit. Through theoretical analysis, we confirm that this
quantum advantage arises from the
quantum effect of multiphoton absorption. Subsequently, with the derived nonlinear function form, we further investigated other properties of this nonlinear
quantum battery. Finally, an experimental design scheme for this nonlinear
quantum battery in superconducting
quantum circuits is presented.
Read the full abstract ▾