Quantum Physics
Offline Channel-Independent QAOA Angles for RIS Power Aggregation: Unit-Circle Phase Dictionaries and Infinite-Size Spin-Glass Limits
Burhan Gulbahar
Reconfigurable intelligent surfaces (RIS) maximize received power by setting per-element phases. Discrete-phase optimization is NP-hard in the worst case, while the
quantum approximate optimization
algorithm (QAOA) applied to RIS faces limited phase alphabets, either per-problem angle optimization or uncharacterized training cost exposed to barren plateaus, and no scalable performance
benchmark. We introduce a $2^{M}$-phase $\theta$ dictionary for optimizing power $\|\mathbf{A} \, e^{j\theta}\|^{2}$ having $K \times N$ channel
matrix $\mathbf{A}$ and QAOA angle offline optimization with instance and size-independent infinite-size limit of the mixed-$q$ Gaussian ensemble of Basso et al. Our design bounds the
spin-
Hamiltonian interaction order to at most quartic for any $M$, and the deployed order-2 reduction lies below the even-$q\!\ge\!4$ regime in which constant-level QAOA limitations are proved. We perform analytical, state-vector,
matrix-product-state and Pauli-path-simulation numerical studies for $N=K \leq 100$ and QAOA depth $p=9$, verifying offline angle transfer to Rayleigh, Rician/line-of-sight, cascaded double-fading and spatially-correlated RIS channels at $N\!\in\!\{5,12\}$. We observe performance reaching a near-optimal multi-start single-flip local-search reference for $N\!\le\!16$ under order-2 modeling with $2^{5}{=}32$-phase dictionary while the order-4 model shows a performance ceiling below the classical reference. The approach suggests a route to near-optimal large-$N$ performance on future fault-tolerant (FTQ)
quantum computers, which enable the higher-depth QAOA
circuits.
Read the full abstract ▾
Quantum Physics
No-deleting principle for two unitary copies
Dafa Li
Pati and Braunstein defined a deleting machine and showed the impossibility of deleting one of two identical copies of an unknown
quantum state. So far, no one has defined two non-identical copies of a
quantum state, of course no one has discussed the impossibility of deleting one of two non-identical copies of an unknown
quantum state. In this paper, we define $u|{\psi}>$ and $U|{\psi}>$, where $u$ and $U$ are any
unitary operators, as two
unitary copies of a
quantum state $|{\psi}>$, and show that it is impossible to delete one of two
unitary copies of an unknown state.
Read the full abstract ▾
Quantum Physics
How rare are Markovian quantum dynamics?
Charlotte Bäcker, Nick Maryshchak and Walter T. Strunz
A profound understanding of decoherence and dissipation in
quantum dynamics is crucial for the realistic modeling of the
evolution of
quantum systems. In open
quantum dynamics one distinguishes between a memoryless, so-called Markovian
evolution and dynamics incorporating
memory effects, termed non-Markovian. In this work we study how prevalent
memory effects are in the set of all such dynamics. We thus investigate how often a Markovian description is applicable. This question is approached by investigating randomly generated two-step
qubit dynamics with respect to different concepts and witnesses of non-Markovianity. We observe that almost all dynamics are non-Markovian, and only a small (yet finite) fraction is Markovian. Furthermore, we study how this proportion changes when considering certain subclasses such as lower rank or mixed-
unitary dynamics. Importantly, our results shed light on the relative ratios of – and interrelations between – the sets of dynamics that are non-Markovian with respect to different criteria. Finally, we investigate the fraction of dynamics in which the
memory effects are necessarily of
quantum nature and establish a connection between two recently developed concepts that characterize the quantumness of
memory in non-Markovian dynamics.
Read the full abstract ▾
Quantum Physics
Uncovering Latent Structures in Robust Pulse Sequences: A Model-Based Reinforcement Learning Approach for Adaptable Quantum Control
Tobias Kiermeyer, Thomas Heydenreich, Léo Van Damme et al. (+3 more)
Real-time adaptive control of
quantum systems requires rapid generation of robust, high-fidelity pulses across a continuous range of operating conditions. Standard optimization
algorithms such as gradient-ascent pulse engineering (GRAPE) solve each instance independently, discarding information between runs and requiring costly reinitialization when parameters change. We present an approach to robust optimal
quantum control based on model-based reinforcement learning, in which a single neural network –
embedding the
Hamiltonian directly into the training pipeline – generates robust gates across an entire family of gate configurations, without pre-computed training data. Demonstrated on a single-
spin (two-level) system, the trained networks produce pulses for arbitrary rotation angles over a range of pulse durations, detunings, and field inhomogeneities in milliseconds, at fidelities comparable to multi-seed GRAPE. The framework is inherently adaptable: any parameter entering the
Hamiltonian can serve as a network input, extending the approach to different systems and control settings. Beyond speed, the network reveals structure in the control landscape: it discovers the same structured phase profiles that appear in GRAPE solutions – made identifiable through fidelity-invariant
symmetry transformations – but more consistently than independent optimization. This consistency enables smooth interpolation across the entire trained parameter space.
Read the full abstract ▾
All authors Tobias Kiermeyer, Thomas Heydenreich, Léo Van Damme, Sebastian Hohenemser, Florian Marquardt, Steffen J. Glaser
Quantum Physics
Exact log-depth preparation of highly entangled matrix product states
Keisuke Murota, Frédéric Sauvage, Marco Ballarin et al. (+2 more)
Preparing
matrix product states (MPS) on a
quantum device is a key subroutine in many
quantum algorithms. The most competitive methods, based on the renormalisation group, prepare translationally invariant MPS of size $L$ and bond dimension $\chi$, up to an error $\varepsilon$, in
circuit depth $\tilde O(\chi^{4}\log(L/\varepsilon))$ or $\tilde O(\chi^{6}\log\log(L/\varepsilon))$. We improve multiple aspects of these methods. First, using block-encoded correction maps, whose post-selection succeeds with constant probability, we render the preparation exact without sacrificing the scaling in $L$. Second, through a generalisation of oblivious amplitude amplification to isometries, we reduce the bond-dimension dependence, improving the depth to $\tilde O(\chi^{2}\log L + \chi^{4})$ or $\tilde O(\chi^{2}\log\log L + \chi^{4})$, and even to $\tilde O(\chi^{3}\log L)$ for incoherent preparations. Finally, we extend the framework to non-translationally invariant MPS and prove logarithmic-depth exact preparation for independent and identically distributed random tensor sequences. Confirmed by numerical studies, these results constitute, to the best of our knowledge, the most efficient exact MPS preparation protocols in the relevant parameter regimes.
Read the full abstract ▾
All authors Keisuke Murota, Frédéric Sauvage, Marco Ballarin, Gabriel Matos, Enrico Rinaldi
Quantum Physics
When to Skip Syndrome Extraction in Surface-GKP Codes
Vaughn Sohn and Changhun Oh
Fault-tolerant
quantum error correction requires repeated syndrome extraction to address errors induced by the syndrome-extraction
circuit itself. However, repeated syndrome extraction incurs significant overhead in terms of gate count and ancilla consumption (e.g., Gottesman-Kitaev-Preskill (GKP) states). Moreover, noisy syndrome extraction can itself inject additional errors into the data
qubits. To address these issues, we propose a concrete adaptive skipping scheme for the surface-GKP code, a representative GKP-concatenated architecture, that uses analog information naturally generated during inner GKP correction. At each round, the scheme selects one of four actions: measuring both Z-type and X-type surface-code stabilizers, measuring only one type, or skipping both types and reusing previous syndromes. The decision is based on a reliability comparison between reusing the previous syndrome value and performing a new noisy syndrome extraction. Using
circuit-level simulations, we show that the adaptive skipping scheme can reduce the number of surface-code stabilizer measurements while maintaining logical error rates comparable to or lower than those of the full-measurement baseline. The improvement is most pronounced when gate and measurement noise are larger than idle noise, so that avoiding unnecessary syndrome extraction reduces the noise injected into the code. These results indicate that analog information from inner GKP correction can be used not only to improve decoding but also to reduce the measurement overhead of outer-code syndrome extraction.
Read the full abstract ▾
Quantum Physics · Cross-listed from hep-ph
Marco Fabbrichesi, Roberto Floreanini and Luca Marzola
We investigate the
entanglement in the momenta of particle pairs produced at
colliders, discarding the information on their
spin state. We show how to quantify this
entanglement by reducing the continuous momentum variables to a two-
qubit system through hemispherical projections. We discuss in detail the production of $\tau$-
lepton pairs at an electron
collider. In the Standard Model, the discretized momenta are in a genuinely maximally entangled pure state for suitable choices of the hemispheres.
Read the full abstract ▾
Quantum Physics
Interaction-Enhanced Ergotropy in Phase-Driven Andreev Bound State Quantum Batteries
Disha Verma, B. Vigneshwar and R. Sankaranarayanan
We investigate a phase-driven
quantum battery composed of two interacting Andreev bound state (ABS) units, providing a minimal superconducting platform for coherent energy storage. By analyzing the ergotropy dynamics under a superconducting phase ramp, we show that the interplay between avoided-crossing excitation and interaction-induced hybridization strongly modifies the charging process. In the high-transparency regime relevant for
graphene SNS junctions, the interaction enhances the stored extractable work and generates pronounced oscillatory charging dynamics associated with coherent redistribution between coupled ABS sectors. The phase-resolved
evolution further reveals optimal charging windows during the Josephson cycle, indicating the possibility of phase-programmable energy extraction through partial-cycle operation. Overall, our results identify interaction-assisted avoided-crossing dynamics as a microscopic mechanism for controllable energy storage in superconducting
quantum batteries.
Read the full abstract ▾
Quantum Physics · Cross-listed from math.CO
Perfect State Transfer on Quotient Graphs in Shunt Decomposition-Based Quantum Walks
Banita Katuwal, Srinath M S, Y Lakshmi Naidu et al. (+1 more)
This paper investigates perfect state transfer (PST) in discrete-time
quantum walks constructed via the shunt decomposition method. The walks are defined on a graph $G$ and its associated quotient graph $G/\pi$, induced by an equitable partition $\pi$. Through the shunt decomposition of $G$, we derive an explicit relation between the shift operator of the parent graph $G$ and that of its quotient graph $G/\pi$. We construct a reflection operator based on the characteristic
matrix, which establishes a connection between the transition operator of the parent graph and that of its lower-dimensional quotient graph. We then prove that PST occurs on $G$ if and only if it occurs on $G/\pi$. Furthermore, we express the
unitary evolution operator of the quotient graph in terms of Chebyshev
polynomials of the first kind, from which we derive explicit criteria for PST. As an application, we establish PST on the cycle graph $C_{n}$ at time $k = n/2$, and lift the result to the parent graph $C_{2n}$ via the equitable partition $\pi$. We further show that if an equitable partition $\pi$ of $G$ induces a quotient isomorphic to $K_n^{\circlearrowleft}$, the complete digraph on $n$ vertices with a loop at every vertex, then PST occurs at step $k = n$, and the walk is periodic at $k = 2n$. This framework is applied to two families of graphs, which are the complete bipartite digraph $K_{n,n}^{\rightleftharpoons}$ and the circulant graph $\operatorname{Circ}(2n, S)$, where $S$ consists of all odd residues modulo $2n$ and $n = 2^s$ for some $s \geq 1$, establishing PST in their respective line digraphs. Collectively, these results also answer the question posed by Godsil and Zhan concerning which shunt decompositions or
embeddings of a graph admit PST.
Read the full abstract ▾
All authors Banita Katuwal, Srinath M S, Y Lakshmi Naidu, Supriyo Dutta
Quantum Physics
Free-Space CV-QKD with Single-Mode Fiber Reception: Effective Coupling Statistics and Protocol-Dependent Reference Noise
Hesham S. Ibrahim and Arnaud Coatanhay
We study free-space continuous-variable
quantum key distribution (CV-QKD) with single-mode fiber (SMF) reception under atmospheric
turbulence. The optical channel is modeled by split-step propagation through random phase screens, followed by finite-aperture collection and projection onto the guided receiving mode. We first examine the standard GG02 setting and ask which receiver-side observable is sufficient for effective key-rate prediction. We show that a mean-loss description is generally too optimistic, whereas a scalar effective law for the SMF coupling efficiency provides an accurate downstream Gaussian-channel description within the effective model considered here. We then extend the optical model to a pilot-assisted architecture in which the signal and pilot propagate through correlated but non-identical turbulent realizations generated by a frozen-flow construction. In this case, the signal coupling law alone is no longer sufficient: signal–pilot phase mismatch and loss of post-coupling coherence produce an additional protocol-dependent reference-noise penalty. The results distinguish two regimes: a scalar coupling description is largely adequate for GG02, while transmitted-reference architectures require an additional differential reference observable beyond the signal coupling statistics.
Read the full abstract ▾
Quantum Physics · Cross-listed from math-ph
On the Berry-Keating Operator
Fabio Bagarello and Sergiusz Kużel
We review here two different viewpoints on the Berry-Keating operator $H_{BK}$, whose connection to the Riemann hypothesis remains an intriguing and not yet fully understood question, despite considerable
attention in the recent literature. In particular, we propose two somehow complementary views to $H_{BK}$: the first is based on a purely Hilbertian point of view, on dilation operators and on the Mellin transform. The second is a distributional approach, with a specific view to ladder operators, generalized eigenstates of $H_{BK}$, and generalized coherent states.
Read the full abstract ▾
Quantum Physics
Intrinsic spectral structure of bipartite nonlocal magic resource
Xiao Huang, Guanhua Chen and Yao Yao
Bipartite nonlocal magic resource (BNMR) quantifies the irreducible nonstabilizerness residing in bipartite
entanglement, yet its evaluation is intractable due to the full
Hilbert space optimization. Here, we introduce a canonical encoding framework that exactly confines the BNMR of an arbitrary bipartite pure state within a minimal encoding core. This dimension reduction proves that pure-state BNMR is an intrinsic function of the nonzero Schmidt spectrum, extending its invariance from local
unitary transformations to local isometries. Leveraging this spectral link, we derive the leading quadratic response of BNMR under spectral perturbations around its zeros. We apply this quadratic response to Haar-random states, deriving and numerically validating the BNMR profile: its distribution is sharply localized at the symmetric bipartition and exponentially suppressed toward asymmetric cuts, in stark contrast to the broadening Page curve of
entanglement. Finally, we provide a closed-form expression for the BNMR of Schmidt rank-2 states, uncovering a hierarchy collapse in generalized GHZ states where bipartite and global nonlocal magic resources coincide exactly.
Read the full abstract ▾
Quantum Physics
Multipartite quantum synchronization in driven-dissipative spin networks
Jatin Ghildiyal, Shubhrangshu Dasgupta and Asoka Biswas
Traditional studies of
quantum synchronization in finite-dimensional
spin systems usually focus on entrainment of a single
spin to an external drive, leaving mutual synchronization among multiple
spins poorly understood. We investigate mutual
quantum synchronization across bipartite and tripartite
spin architectures in a driven-dissipative cavity-coupled
quantum Rabi network in the dispersive adiabatic regime. Inspired by the Kuramoto model of classical phase synchronization, we introduce a phase-space measure of
quantum synchronization using the first angular moments of Husimi-Q phase distributions. To compare the collective phase localization with reduced-subsystem contributions and local individual phase locking, we construct a bipartite and tripartite synchronization gap. For two
spins, the steady-state synchronization gap is negative. This reflects that the relative phase is localized more strongly than the individual
spin phases can account for, signaling mutual synchronization beyond independent entrainment by the drive. For three
spins in a triangular network, the synchronization gap is positive in the parameter regime studied, i.e., the collective three-body localization is bounded by the pairwise measures. Our results underscore that
quantum phase synchronization strongly depends upon network
topology and establish the phase-sensitive synchronization gaps as an effective diagnostic for multipartite phase correlations in open
quantum systems.
Read the full abstract ▾
Quantum Physics
Wigner's Phase Space Current for Variable Beam Splitters – Phase Space Rotations and Newtonian Trajectories
Ole Steuernagel, Hsien-Yi Hsieh, Hua-Li Chen et al. (+1 more)
Beam splitters allow us to superpose two continuous single mode
quantum systems. To study the behaviour of beam splitters' strongly mode mixing dynamics we consider variable beam splitters acting on Wigner's phase space distribution, W , the
evolution of which is governed by the continuity-equation {\partial \tau} W = - {\nabla} J. We derive the form of the corresponding Wigner current, J. J's form allows us to use a classical trajectories-approach to analyze the influence of the two modes on each other. We show that the dynamics for variable beam splitters amounts to a rotation confined within the plane of the two positions together with the same simultaneous rotation confined within the plane of the two momenta. In this way explicit and very transparent expressions for the rotated Wigner distributions and Wigner currents can be given in terms of classical trajectories. This helps us to gain deeper insights and perform geometrical analyses of the mixing of modes at beam splitters.
Read the full abstract ▾
All authors Ole Steuernagel, Hsien-Yi Hsieh, Hua-Li Chen, Ray-Kuang Lee
Quantum Physics · Cross-listed from physics.chem-ph
Enhancing quantum-classical configuration interaction methods using a neural-network classifier
Severino Zeni, Giovanni Varutti, Jacopo Nespolo et al. (+1 more)
Selected configuration interaction methods achieve near-exact electronic structure calculations by iteratively constructing compact variational spaces, but their efficiency depends critically on the heuristics used to identify important determinants. Here, we introduce a data-driven selection framework that recasts determinant importance as a binary classification task and integrates a neural-network classifier into the iterative CI workflow through an active-learning loop. At each iteration, a random subset of candidate determinants is labelled via temporary diagonalisation, and the trained classifier guides selection of the remaining configurations. We demonstrate the utility of this framework for both classical and
quantum CI methods by calculating the ground-state energy of a diatomic molecule. Our method achieves result parity with traditional configuration interaction methods at substantially lower computational cost: roughly a $\times 5$ reduction in
memory and per-iteration cost for the classical cHCI variant, and convergence in markedly fewer iterations for the
quantum-classical cSQD variant. These results establish classifier-assisted determinant selection as a lightweight, method-agnostic tool for compressing variational spaces and accelerating both classical and hybrid
quantum-classical configuration interaction
algorithms.
Read the full abstract ▾
All authors Severino Zeni, Giovanni Varutti, Jacopo Nespolo, Dimitrios Trypogeorgos
Quantum Physics · Cross-listed from cond-mat.stat-mech
Universal Extraction of Quantum Critical Exponents and Phase Transitions via Tailored Hilbert Space
Ye Xiong
Finite-size scaling and the renormalization group form the central toolkit for analyzing
quantum phase transitions (QPTs). In this Letter, we introduce a novel
Hilbert-space tailoring scheme to probe
quantum critical phenomena. Applied to the second-order QPT of the one-dimensional (1D) XY model, our method yields precise critical points and exponents on
lattices containing merely 50 unit
cells. We further establish the universal applicability of this framework via investigations of the Berezinskii-Kosterlitz-Thouless transition in the 1D XXZ chain: critical parameters are recovered with as few as 12
lattice sites. This technique may open an alternative, efficient route to universally characterize QPT across many-body
lattice systems.
Read the full abstract ▾
Quantum Physics
Non-adiabatic transitions in the density matrix formalism
Pasquale Di Bari, Shreya Pandit and Ye-Ling Zhou
We show that a density
matrix formalism provides a useful description of non-adiabatic transitions in two-state
quantum systems. Compared to a traditional
Hamiltonian formalism, even in the absence of decoherence when there is full equivalence between the two, the density
matrix formalism provides a convenient change of variables that yields a powerful general analytical solution. This solution nicely describes a transition regime between the well known Landau-Zener-Stuckelberg-Majorana (LZSM) approximation and the extremely non-adiabatic limit. Our results have very general applications, within a large variety of problems in
quantum physics,
neutrino physics, cosmology.
Read the full abstract ▾
Quantum Physics · Cross-listed from cs.SI
Discovery of connectivity-trainability trade-off of IQP Circuits for Hamiltonian Optimization
Quoc Chuong Nguyen
Instantaneous
Quantum Polynomial-time (IQP)
circuits are promising candidates for near-term
quantum advantage due to the conjectured classical hardness of their sampling task. However, their capabilities for optimization remain largely unexplored. We present a systematic investigation of the performance and trainability of IQP
circuits for
Hamiltonian optimization. Our results reveal a trade-off between optimization performance and
circuit connectivity, demonstrating that the
circuit structure plays a key role in determining the ability of IQP
circuits to reach low-energy states.
Read the full abstract ▾
Quantum Physics · Cross-listed from physics.atom-ph
Doppler-enhanced superheterodyne Rydberg microwave receiver
Yuwen Yin, Ruimin Chen, Shibing Ji et al. (+7 more)
We report the enhanced sensitivity of the Rydberg microwave (MW) receiver by exploiting the Doppler effect in a vapor
cell. A two-
photon Rydberg ladder scheme is implemented via the co-propagation of probe and coupling
lasers, which enhances the Doppler effect. When an MW field is applied, microwave dressing modifies the velocity-dependent resonance condition, enabling stronger contributions from atoms with non-zero velocities and leading to an enhancement of the EIT transmission. Based on this mechanism, we achieve a sensitivity of $35.1\ \mathrm{nV\ cm^{-1}\ Hz^{-1/2}}$ using the heterodyne technique, which is 1.5 times better than that obtained in the counter-propagating configuration. Meanwhile, the required local oscillator (LO) field is reduced by a factor of 17.6 compared with the counter-propagating configuration, which is advantageous for applications requiring minimal radiation and low power consumption. Moreover, the co-propagating configuration is more amenable to integration or portable sensing platforms because multiple
laser fields can be delivered through a single optical fiber.
Read the full abstract ▾
All authors Yuwen Yin, Ruimin Chen, Shibing Ji, Jinlian Hu, Shaofeng Wang, Yunhui He, Jingxu Bai, Xiao-Qiang Shao, Yuechun Jiao, Jianming Zhao
Quantum Physics
Monitoring Beam Splitter Entanglement using Quantumness
Hua-Li Chen, Hsien-Yi Hsieh, Chien-Ming Wu et al. (+2 more)
We report on an experiment in which two independent squeezed
vacuum states get entangled by mixing them with a balanced beam splitter. We follow standard practice and use an inseparability criterion to quantify their
entanglement. However, this only allows us to witness the
entanglement, but not to determine the deleterious effects of experimental imperfections due to the beam splitter mixing and the associated mode-mismatch and detection imperfections. We therefore introduce an alternative framework suitable for continuous variable systems using the states' quantumness, $\Xi$. We show that, under ideal circumstances, $\Xi$ is a conserved quantity under beam mixing. This allows us to
benchmark the experiment's performance by comparing the states' quantumness $\Xi$ after the beam splitter mixing with $\Xi$ before. Such a comparison is not possible with
entanglement witnesses, as the input states are unentangled. This highlights the main strength of our approach: its ability to generally quantify the quantumness of multi-mode continuous variable states and use this to probe different stages in an experiment.
Read the full abstract ▾
All authors Hua-Li Chen, Hsien-Yi Hsieh, Chien-Ming Wu, Ole Steuernagel, Ray-Kuang Lee
Quantum Physics
Ground-State Energy Solutions of the Lithium Atom: Zeroth-, First-, and Second-Order Perturbation Theory and the Variational Method
Afraa Mahboubi, Büşra Gökçe Zolmaz, Devrim Karayer et al. (+3 more)
In this work, the ground-state energy of the lithium atom is systematically investigated using both time-independent perturbation theory and the variational method to provide a comprehensive pedagogical analysis of many-body atomic systems. The unperturbed
Hamiltonian is initially constructed by neglecting electron-electron interactions, treating the system as three independent hydrogen-like electrons to yield a zeroth-order energy baseline of -275.51 eV. The antisymmetric fermionic nature of the exact wave function is rigorously enforced through the Slater determinant formalism. First-order perturbation theory is applied to evaluate static inter-electronic repulsion using exact Coulomb and exchange integrals, refining the energy state to -192.01 eV. To account for dynamical electronic correlation, second-order perturbation theory is computed numerically for virtual single-electron s-orbital transitions, leading to a total perturbative energy of -196.36 eV. A brief discussion of two-electron excitations is also included to encapsulate further physical realism within the framework. Furthermore, a non-orthogonal two-parameter variational approach is employed to model the shell-specific shielding effect. By optimizing the effective
nuclear charges, the variational method establishes a superior upper bound energy of -201.187 eV. The results of both methods are comprehensively contrasted against each other and the reference baseline to provide critical insights into the nature of electron correlation and screening in multi-electron atoms.
Read the full abstract ▾
All authors Afraa Mahboubi, Büşra Gökçe Zolmaz, Devrim Karayer, Handenur Şay, Oğuzhan Kaya, Abdulkadir Senol
Quantum Physics
From Spectral Singularities to Multipartite Entanglement Scaling at Higher-Order Exceptional Points
Chunlai Yang, Shuheng Liu, Xinyao Huang et al. (+2 more)
Exceptional points (EPs) are non-Hermitian spectral singularities exhibiting fractional-power responses, yet their implications for multipartite
entanglement of interacting
quantum many-body systems remain largely unexplored. Here we develop a general framework that links higher-order non-Hermitian degeneracies to the scaling behavior of genuine multipartite
entanglement in interacting identical-
qubit systems. Permutation
symmetry of the identical
qubits decomposes the exponentially large
Hilbert space into independent irreducible-representation sectors, thereby constraining the maximal EP order of $N$
qubits to $N+1$ rather than $2^N$. Near an $n$th-order EP, genuine multipartite
entanglement inherits the spectral response and generically exhibits a fractional-power scaling under weak perturbations. Explicit examples show that conventional two-body interactions support third- and fourth-order EPs with the corresponding
entanglement responses, whereas higher-order EPs with genuine multipartite-entangled coalesced states require additional independent interaction channels, such as three-body interactions. Our results establish a fundamental connection among non-Hermitian degeneracies, multipartite
entanglement, and
symmetry, extending higher-order EP physics from spectral singularities to genuine many-body
quantum correlations.
Read the full abstract ▾
All authors Chunlai Yang, Shuheng Liu, Xinyao Huang, Kaiye Shi, Qiongyi He
Quantum Physics · Cross-listed from math.NA
Dynamical low-rank methods for the Wigner equation I: separable difference potential
Sihong Shao and Yuehan Shao
Recent advances in dynamical low-rank approximation (DLRA) have demonstrated its effectiveness in high-dimensional simulations. However, existing DLRA
algorithms still face significant challenges when handling systems that involve complex collision terms, including the pseudo-differential operator (${\rm \Psi}$) in the Wigner equation, a representative operator characterized by nonlocality. It is deserving to carry out a series of works to develop the DLRA
algorithms for solving the Wigner equation. As the first step in this series of works, we propose an efficient DLRA
algorithm for the Wigner equation, using a separable decomposition of the difference potential. We combine this separable assumption with two often-used truncations of ${\rm \Psi}$, namely $\mathcal{K}$-truncation and $\mathcal{Y}$-truncation, to obtain a kind of separated representation of ${\rm \Psi}$. Complexity analysis and several challenging experiments, including harmonic oscillators, Gaussian barrier scattering, electron-electron scattering, and a Helium-like system, all of which satisfy the separable assumption, confirm that the proposed DLRA
algorithm has significant advantages, achieving a reduction in computational effort by one to two orders of magnitude in both runtime and
memory requirements compared to the full-grid approach. It is worth noting that, even in the absence of a predetermined low-rank structure for the solution, DLRA can still serve as a numerical scheme that balances efficiency and accuracy.
Read the full abstract ▾
Quantum Physics
Initial-state-dependent dephasing effect in non-Hermitian Su-Schrieffer-Heeger models
Tao Min and Junjie Liu
Understanding the dynamical
evolution of non-Hermitian systems under external dissipation is essential for devising realistic non-Hermitian
quantum devices that surpass the capabilities of their Hermitian counterparts. Dephasing, a major realistic dissipation, has an impact on non-Hermitian systems that remains largely unexplored. Here, we focus on finite-sized non-Hermitian Su-Schrieffer-Heeger (SSH)
lattice models with alternating gain and loss in real space and examine the dynamical
evolution of the trace distance under pure dephasing. By tuning system parameters, this model supports phases with either parity-time or anti-parity-time
symmetries, enabling us to explore the dephasing effect across different non-Hermitian
symmetry regimes within a single platform. While the trace distance exhibits distinct dynamical behaviors across the different phases in the absence of dephasing, its response to dephasing is largely
symmetry-independent but instead initial-state dependent. By varying the initial states, we find that dephasing affects the trace distance in two qualitatively different ways. For initial states that differ only in their coherences, dephasing accelerates the decay of the trace distance, destroying the phase information in much the same way as in Hermitian systems. In contrast, for initial states that differ only in their populations, strong dephasing can partially or completely stabilize the trace distance over a wide transient regime before its eventual decay. We attribute these metastable stabilization phenomena to the alternating gain and loss in the system and confirm their absence in Hermitian counterparts. Our findings reveal the intricate dynamical response of non-Hermitian SSH models to dephasing, thereby facilitating their potential applications.
Read the full abstract ▾
Quantum Physics
Low Spatial Cost CCZ Magic State Factory
Sungyeon Kook, Yujin Kang, Ilkwon Sohn et al. (+1 more)
We propose a design framework for reconstructing gate-based magic state
distillation protocols as compact joint-measurement architectures implementable with the surface code. The goal is to reduce the surface-code resource cost of a magic state factory while preserving the logical function and error-detection structure of the
distillation protocol. We construct a reduced architecture for implementing an eight-to-three CCZ
distillation protocol using smaller surface-code patches. The proposed factory preserves the single-fault-detection property and the leading-order error suppression of the protocol, while producing CCZ magic states with lower spatial cost than the design of Gidney and Fowler. The proposed design perspective can also be applied to T-state factories and other multiqubit non-Clifford resource-state factories. Our approach provides a framework for extending the design space of surface-code magic state factories beyond a single CCZ layout optimization.
Read the full abstract ▾
All authors Sungyeon Kook, Yujin Kang, Ilkwon Sohn, Jun Heo
Quantum Physics · Cross-listed from cond-mat.mes-hall
Gate-Controlled Spin Qubits in Confined Altermagnets
Hamed Vakili
We propose gate-defined
spin qubits in electrostatically confined altermagnetic
quantum dots. Elliptical confinement of the $d$-wave altermagnetic structure produces a low-energy doublet with opposite
spin polarization. For the range of parameters used here, the
qubit states energy gap lies in the microwave range while the leakage gap remains in the meV range. Even without
spin-orbit coupling, time-dependent simulations show that a phase-controlled quadrupolar gate drive about a fixed bias point implements $X_{\pi/2}$ and $X_\pi$ rotations by resonantly modulating the confinement anisotropy. We extend the study to two-
qubits using a double
quantum dot. We show that the double
quantum dot spectrum can be cleanly projected onto isolated
quantum dot product states with a nonzero nonlocal Pauli block in the effective logical two-
qubit Hamiltonian. Resonant central-barrier modulation then drives the logical two-
qubit component close to a maximally entangled state. These calculations show anisotropic altermagnetic
quantum dots as a route to locally gate-controlled
spin qubits without requiring
spin-orbit coupling.
Read the full abstract ▾
Quantum Physics
An Analysis of Speculative Window Decoders for Quantum Error Correction
Jocelyn Li and Margaret Martonosi
Fault-tolerant
quantum computing is essential for realizing the substantial computational speedups that
quantum computing can bring, but it requires real-time error decoding with high performance. Speculative window decoding improves performance by reducing the time spent waiting for dependencies from prior decoding windows. However, speculative decoders have only been evaluated under the regime of superconducting
qubits with fast gate speeds, surface codes, and matching decoders. Since different
quantum technologies can have slower gate speeds, we evaluate the performance of speculative decoding under slow gate speeds. We also examine its sensitivity to speculation accuracy, decoder latency, processor count, and workload parallelism, which can vary across different
quantum error correction codes, decoders, and hardware platforms. This work presents design principles for identifying when speculative decoding yields the greatest performance improvements. It also reveals the conditions under which non-speculative decoders outperform speculative decoders.
Read the full abstract ▾
Quantum Physics
Spectrally engineered collinear type-0 SPDC source with enhanced spectral brightness for entanglement distribution
Dong-Gil Im, Jungmo Lee, Kyungdeuk Park et al. (+3 more)
Entangled
photon sources with high spectral brightness are important resources for photonic
quantum information processing, particularly in
quantum communication and
quantum networking where usable
photon flux of entangled
photons is often constrained by channel loss and source inefficiency. Here, we demonstrate a spectrally engineered type-0 spontaneous parametric down-conversion (SPDC) source with enhanced spectral brightness for
entanglement distribution. By pumping a 30-mm ppKTP
crystal with an ultra-narrowband
laser slightly detuned from degeneracy,
photon-pair generation is concentrated into a narrow spectral bandwidth while retaining the strong nonlinear interaction of type-0 phase matching. The source produces a coincidence rate of 44.6 kHz corresponding to a detected spectral brightness of 0.507 MHz/mW/nm. We further integrate the source into a Sagnac interferometer to generate polarization-entangled
photon pairs and demonstrate
entanglement distribution through a 2.56 km free-space round-trip channel. Our results show that spectral engineering provides a practical route to compact, spectrally bright entangled-
photon sources for
quantum communication applications.
Read the full abstract ▾
All authors Dong-Gil Im, Jungmo Lee, Kyungdeuk Park, Dongkyu Kim, Yonggi Jo, Yong Sup Ihn