Quantum Physics · Cross-listed from cond-mat.quant-gas
Robust, fast, and efficient formation of stable tetratomic molecules from ultracold atoms via generalized stimulated Raman exact passage
Jia-Hui Zhang, Wen-Yuan Wang and Fu-Quan Dou
The study of the conversion of ultracold atoms into molecules has long remained a hot topic in atomic, molecular, and optical physics. However, most prior research has focused on diatomic molecules, with relatively scarce exploration of polyatomic molecules. Here we propose a two-step strategy for the formation of stable ultracold tetratomic molecules. We first suggest a generalized nonlinear stimulated Raman exact passage (STIREP) technique for the coherent conversion of ultracold atoms to tetratomic molecules, which is subsequently followed by a chainwise-STIREP technique to transfer the resulting molecules into a sufficiently stable ground state. Through systematic numerical analysis, we demonstrate that the proposed two-step strategy holds great potential for the robust, fast, and efficient formation of stable ultracold tetratomic molecules.
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Quantum Physics
Watt-level coherent microwave emission from dissipation engineered solid-state quantum batteries
Yuanjin Wang, Hao Wu, Mark Oxborrow et al. (+1 more)
Recently proposed metastability-induced
quantum batteries have shown particular promise for coherent microwave generation. However, achieving high-power coherent microwave generation in
quantum batteries remains fundamentally challenging due to
quantum correlations, aging, and self-discharging processes. For the cavity-
quantum-electrodynamics (CQED)-based
quantum batteries, a further trade-off arises between strong
spin-
photon coupling for energy storage and sufficient output coupling for power delivery. To overcome these constraints, we introduce dissipation engineering as a dynamic control strategy that temporally separates energy storage and release. By suppressing emission during charging and rapidly enhancing the output coupling during discharging, we realize nanosecond microwave bursts with watt-level peak power. By optimizing three dissipation schemes, we improve work extraction efficiency of the
quantum battery by over two orders of magnitude and achieve high power compression factors outperforming the state-of-the-art techniques, establishing dissipation engineering as a pathway toward room-temperature, high-power coherent microwave sources.
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All authors Yuanjin Wang, Hao Wu, Mark Oxborrow, Qing Zhao
Quantum Physics
Fermionic neural Gibbs states
Jannes Nys and Juan Carrasquilla
We introduce fermionic neural Gibbs states (fNGS), a variational framework for modeling finite-temperature properties of strongly interacting
fermions. fNGS starts from a reference mean-field thermofield-double state and uses neural-network transformations together with imaginary-time
evolution to systematically build strong correlations. Applied to the doped
Fermi-Hubbard model, a minimal
lattice model capturing essential features of strong electronic correlations, fNGS accurately reproduces thermal energies over a broad range of temperatures, interaction strengths, even at large dopings, for system sizes beyond the reach of exact methods. These results demonstrate a scalable route to studying finite-temperature properties of strongly correlated fermionic systems beyond one dimension with neural-network representations of
quantum states.
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Quantum Physics · Cross-listed from cond-mat.quant-gas
Collective cluster nucleation dynamics in quantum magnets
Philip Osterholz, Fabio Bensch, Shuanghong Tang et al. (+4 more)
Strongly interacting many-body systems exhibit collective properties that emerge from complex correlations among microscopic degrees of freedom. These cooperative phenomena govern the non-
equilibrium response of
quantum systems, with relevance ranging from condensed matter physics to
quantum field theories describing fundamental aspects of our universe. Understanding such emergent dynamics from first principles remains one of the central challenges in
quantum many-body physics. Here we report on the observation of collective cluster nucleation dynamics following quenches in 2D
ferromagnetic quantum Ising systems implemented in an atomic Rydberg array. Our experiments reveal two distinct regimes: In the confined regime, we observe an energy-dependent cluster size, revealing large collective clusters exceeding ten
spins. In contrast, the deconfined regime is characterized by kinetically constrained, avalanche-like nucleation dynamics involving the entire system. Our findings establish a new frontier for
quantum simulations with Rydberg arrays, enabling controlled exploration of non-
equilibrium phenomena previously out of reach. Beyond advancing experimental capabilities, they provide fundamental insights into highly correlated processes with implications that reach from
quantum magnetism and glassy dynamics to cosmological models of the early universe.
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All authors Philip Osterholz, Fabio Bensch, Shuanghong Tang, Silpa Baburaj Sheela, Björn Sbierski, Igor Lesanovsky, Christian Groß
Quantum Physics
Probing chiral topological states with permutation defects
Yarden Sheffer, Ruihua Fan, Ady Stern et al. (+2 more)
The hallmark of two-dimensional
chiral topological phases is the existence of anomalous gapless modes at the spatial boundary. Yet, the manifestation of this edge anomaly within the bulk ground-state wavefunction itself remains only partially understood. In this work, we introduce a family of multipartite
entanglement measures that probe chirality directly from the bulk wavefunction. Our construction involves applying different permutations between replicas of the ground state wavefunction in neighboring spatial regions, creating "permutation defects" at the boundaries between these regions. We provide general arguments for the robustness of these measures and develop a field-theoretical framework to compute them systematically. While the standard topological field theory prescription misses the
chiral contribution, our method correctly identifies it as the
chiral conformal field theory partition function on high-genus Riemann surfaces. This feature is a consequence of the bulk-edge correspondence, which dictates that any regularization of the theory at the permutation defects must introduce gapless boundary modes. We numerically verify our results with both free-
fermion and strongly-interacting
chiral topological states and find excellent agreement. Our results enable the extraction of the
chiral central charge and the
Hall conductance using a finite number of wavefunction replicas, making these quantities accessible to Monte-Carlo numerical techniques and noisy intermediate-scale
quantum devices.
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All authors Yarden Sheffer, Ruihua Fan, Ady Stern, Erez Berg, Shinsei Ryu
Quantum Physics
Probing False Vacuum Decay and Bubble Nucleation in a Rydberg Atom Array
Yu-Xin Chao, Peiyun Ge, Zhen-Xing Hua et al. (+8 more)
In
quantum field theory (QFT), the "
vacuum" is not just empty space but the lowest-energy state of a
quantum field. If the energy landscape has multiple local minima, the local ground states are the false
vacuum (FV) which can tunnel towards the global ground state (true
vacuum, TV). This process exhibits signature akin to classical supercooled gas transitions and many-body tunneling in discrete
quantum systems. Here, we study the FV decay and bubble nucleation in a Rydberg atom ring. The $1/r^6$ van-der-Waals interactions and individual-site addressability allow us to explore physics beyond the standard Ising model. We observe that the FV decay rate decreases exponentially with the inverse of the
symmetry-breaking field, directly mirroring QFT predictions. Moreover, we demonstrate that even minor deviations from the ideal metastable state can cause a stark departure from this universal scaling law. Extending beyond short-time decay dynamics, we also examine resonant bubble nucleation, a feature distinctive to systems with discrete energy spectra. Our findings and methods open avenues for future studies of many-body tunneling in higher dimensions or more complex geometries.
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All authors Yu-Xin Chao, Peiyun Ge, Zhen-Xing Hua, Chen Jia, Xiao Wang, Xinhui Liang, Zongpei Yue, Rong Lu, Meng Khoon Tey, Xiao Wang, Li You
Quantum Physics
Ground state energy and phase transitions of Long-range XXZ using VQE
Mrinal Dev and Shraddha Sharma
The variational
quantum eigen solver (VQE), has been widely used to find the ground state energy of different
Hamiltonians with no analytical solutions and are classically difficult to compute. In our work, we have used VQE to identify the phase transition boundary for an infinite order phase transition. We use long-range XXZ (LRXXZ) chain for our study. In order to probe infinite order phase transition, we propose to utilise the ground state energy obtained from VQE. The idea rests on the argument that VQE requires an ansatz
circuit; therefore, the accuracy of the VQE will rely on this ansatz
circuit. We have designed this
circuit such that the estimated ground state energy is sensitive to the phase it is evaluated in. It is achieved by applying the constraint that the net
spin remains constant throughout the optimisation process. Consequently, the ansatz works in a certain phase where it gives relatively small random error, as it should, when compared to the error in ground state energy calculations of the other phases, where the ansatz fails. By identifying these changes in the behaviour of the error in ground state energy using VQE, we were able to determine the phase boundaries. Using exact diagonalisation, we also compare the behaviour of the energy gradient and energy gap across both the phase transition boundaries for this model. Further, by increasing the depth of the optimisation
circuit, we also accurately evaluate the ground energy of the LRXXZ chain for the value of coupling constant, J equal to -1
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Quantum Physics
Phase noise characterisation of a 2-km Hollow-Core Nested Antiresonant Nodeless Fibre for Twin-Field Quantum Key Distribution
Mariella Minder, Sophie Albosh, Obada Alia et al. (+5 more)
The performance of
quantum key distribution (QKD) is heavily dependent on the physical properties of the channel over which it is executed. Propagation losses and perturbations in the encoded
photons' degrees of freedom, such as polarisation or phase, limit both the QKD range and key rate. The maintenance of phase coherence over optical fibres has lately received considerable
attention as it enables QKD over long distances, e.g., through phase-based protocols like Twin-Field (TF) QKD. While optical single mode fibres (SMFs) are the current standard type of fibre, recent hollow core fibres (HCFs) could become a superior alternative in the future. Whereas the co-existence of
quantum and classical signals in HCF has already been demonstrated, the phase noise resilience required for phase-based QKD protocols is yet to be established. This work explores the behaviour of HCF with respect to phase noise for the purpose of TF-QKD-like protocols. To achieve this, two experiments are performed. The first, is a set of concurrent measurements on 2 km of HCF and SMF in a double asymmetric Mach-Zehnder interferometer configuration. The second, uses a TF-QKD interferometer consisting of HCF and SMF channels. These initial results indicate that HCF is suitable for use in TF-QKD and other phase-based QKD protocols.
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All authors Mariella Minder, Sophie Albosh, Obada Alia, Radan Slavik, Rupesh Kumar, Francesco Poletti, George Kanellos, Marco Lucamarini
Quantum Physics
Supramolecular approach-based intermolecular interaction energy calculations using quantum phase estimation algorithm
Yuhei Tachi, Akihiko Arakawa, Taisei Osawa et al. (+2 more)
Accurate computation of non-covalent, intermolecular interaction energies is important to understand various chemical phenomena, and
quantum computers are anticipated to accelerate it. Although the state-of-the-art
quantum computers are still noisy and intermediate-scale ones, development of theoretical frameworks those are expected to work on a fault-tolerant
quantum computer is an urgent issue. In this work, we explore resource-efficient implementation of the
quantum phase estimation-based complete active space configuration interaction (QPE-CASCI) calculations, with the aid of the second-order Møller–Plesset perturbation theory (MP2)-based active space selection with Boys localized orbitals. We performed numerical simulations of QPE for the supramolecular approach-based intermolecular interaction energy calculations of the hydrogen-bonded water dimer, using 6 system and 6 ancilla
qubits. With the aid of algorithmic error mitigation, the QPE-CASCI simulations achieved interaction energy predictions with an error of 0.02 kcal mol$^{-1}$ relative to the CASCI result, demonstrating the accuracy and efficiency of the proposed methodology. Preliminary results on
quantum circuit compression for QPE are also presented to reduce the number of two-
qubit gates and depth.
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All authors Yuhei Tachi, Akihiko Arakawa, Taisei Osawa, Masayoshi Terabe, Kenji Sugisaki
Quantum Physics
A Qudit-native Framework for Discrete Time Crystals
Wei-Guo Ma, Heng Fan and Shi-Xin Zhang
We introduce a qudit-native framework for engineering rich and robust discrete time
crystals (DTCs) by leveraging their internal multilevel structure. Unlike in
qubit systems, qudit-based DTCs exhibit distinct dynamical mechanisms that arise only in multilevel systems, as supported by a dressed normal-form analysis in the heating-suppression regime. These mechanisms are manifested in representative systems: we show that subspace-selective embedded kicks stabilize higher-order subharmonic responses and suppress thermalization, as demonstrated in
spin-1 chains; in
spin-3/2 systems, extending embedded kicks to more levels enables different level partitions and reveals that DTC robustness is dictated by the
symmetry of the partition; and in
spin-2 platforms, we realize concurrent 2T and 3T DTCs under a unified drive. These findings establish a systematic, hardware-efficient methodology for designing stable and multifunctional Floquet phases of matter on modern qudit-based
quantum processors.
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Quantum Physics
Efficient Identification the Inequivalence of Mutually Unbiased Bases via Finite Operators
Jianxin Song, Zhen-Peng Xu and Changliang Ren
The structural characterization of high-dimensional mutually unbiased bases (MUBs) by classifying MUBs subsets remains a major open problem. The existing methods not only fail to conclude on the exact classification, but also are severely limited by computational resources and suffer from the numerical precision problem. Here we introduce an operational approach to identify the inequivalence of MUBs subsets, which has less time complexity and entirely avoids the computational precision issues. For arbitrary MUBs subsets of $k$ elements in any
prime dimension, this method yields a universal analytical upper bound for the amount of MUBs equivalence classes. By applying this method through simple iterations, we further obtain tighter classification upper bounds for any
prime dimension $d\leq 37$. Crucially, the comparison of these upper bounds with existing lower bounds successfully determines the exact classification for all MUBs subsets in any dimension $d \leq 17$. We further extend this method to the case that the dimension is a power of
prime number. This general and scalable framework for the classification of MUBs subsets sheds new light on related applications.
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Quantum Physics · Cross-listed from physics.atom-ph
Continuously tunable single-photon level nonlinearity with Rydberg state wave-function engineering
Biao Xu, Gen-Sheng Ye, Yue Chang et al. (+2 more)
Extending optical nonlinearity into the extremely weak light regime is at the heart of
quantum optics, since it enables the efficient generation of photonic
entanglement and implementation of photonic
quantum logic gate. Here, we demonstrate the capability for continuously tunable single-
photon level nonlinearity, enabled by precise control of Rydberg interaction over two orders of magnitude, through the use of microwave-assisted wave-function engineering. To characterize this nonlinearity, light storage and
retrieval protocol utilizing Rydberg electromagnetically induced transparency is employed, and the
quantum statistics of the retrieved
photons are analyzed. As a first application, we demonstrate our protocol can speed up the preparation of single
photons in low-lying Rydberg states by a factor of up to ~ 40. Our work holds the potential to accelerate
quantum operations and to improve the
circuit depth and connectivity in Rydberg systems, representing a crucial step towards scalable
quantum information processing with Rydberg atoms.
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All authors Biao Xu, Gen-Sheng Ye, Yue Chang, Tao Shi, Lin Li
Quantum Physics
Optimal Scaling Quantum Interior Point Method for Linear Optimization
Mohammadhossein Mohammadisiahroudi, Zeguan Wu, Pouya Sampourmahani et al. (+2 more)
The emergence of huge-scale, data-intensive linear optimization (LO) problems in applications such as machine learning has driven the need for more computationally efficient interior point methods (IPMs). While conventional IPMs are
polynomial-time
algorithms with rapid convergence, their per-iteration cost can be prohibitively high for dense large-scale LO problems.
Quantum linear system solvers have shown potential in accelerating the solution of linear systems arising in IPMs. In this work, we introduce a novel almost-exact
quantum IPM, where the Newton system is constructed and solved on a
quantum computer, while solution updates occur on a classical machine. Additionally, all
matrix-vector products are performed on the
quantum hardware. This hybrid
quantum-classical framework achieves an optimal worst-case scaling of $\mathcal{O}(n^2)$ for fully dense LO problems. To ensure high precision, despite the limited accuracy of
quantum operations, we incorporate iterative refinement techniques both within and outside the proposed IPM iterations. The proposed
algorithm has a
quantum complexity of $\mathcal{O}(n^{1.5} \kappa_A \log(\frac{1}{\epsilon}))$ queries to QRAM and $\mathcal{O}(n^2 \log(\frac{1}{\epsilon}))$ classical arithmetic operations. Our method outperforms the worst-case complexity of prior classical and
quantum IPMs, offering a significant improvement in scalability and computational efficiency.
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All authors Mohammadhossein Mohammadisiahroudi, Zeguan Wu, Pouya Sampourmahani, Jun-Kai You, Tamás Terlaky
Quantum Physics
QReach: A Reachability Analysis Tool for Quantum Markov Chains
Aochu Dai and Mingsheng Ying
We present QReach, the first reachability analysis tool for
quantum Markov chains based on decision diagrams CFLOBDD (presented at CAV 2023). QReach provides a novel framework for finding reachable subspaces, as well as a series of model-checking subprocedures like image computation. Experiments indicate its practicality in verification of
quantum circuits and
algorithms. QReach is expected to play a central role in future
quantum model checkers.
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Quantum Physics
Universal quantum control over non-Hermitian continuous-variable systems
Zhu-yao Jin and Jun Jing
Current studies about the continuous-variable systems in non-Hermitian
quantum mechanics heavily revolved around the singularities in the eigenspectrum by mimicking their discrete-variable counterparts. Discussions over the nonunitary features in time
evolution are growing and yet limited in scalability and controllability. We develop here a general theory to control an arbitrary number of bosonic modes under time-dependent non-Hermitian
Hamiltonian. Far beyond the subspace of few excitations, our control theory operates in the Heisenberg picture and exploits the gauge potential underlying the instantaneous frames rather than the eigenspectrum. In particular, instantaneous frames are defined by time-dependent ancillary operators as linear combinations of the laboratory-frame operators, while the gauge potential arises from the
unitary transformation between the time-dependent and stationary ancillary frames. We find that upper triangularization condition of the non-Hermitian
Hamiltonian's coefficient
matrix in the stationary ancillary frame yields two nonadiabatic passages in both bra and ket spaces and also the exact solutions of the time-dependent Schrödinger equation. At the end of these passages, probability conservation of wave function is automatically restored without brute-force normalization. Our theory is exemplified by perfect and nonreciprocal state transfers in a cavity magnonic system under non-Hermitian
Hamiltonian rigorously derived from the Lindblad master equation with all
quantum-jump terms retained. Under certain conditions, perfect state transfer holds for arbitrary initial states and is irrelevant to both parity-time
symmetry of coefficient
matrix and exceptional points of eigenspectrum. The nonreciprocal transfer is consistent with coherent perfect absorption, providing a first-principles route to coherent control of non-Hermitian continuous-variable systems.
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Quantum Physics
Less is more: subspace reduction for counterdiabatic driving of Rydberg atom arrays
Wen Ting Hsieh and Dries Sels
This study explores the use of subspace methods in combination with counterdiabatic driving in a Rydberg atom system to solve the Maximum Independent Set (MIS) problem. Although exact counterdiabatic driving offers excellent performance, it comes at an unscalable computational cost. In this work, we demonstrate that counterdiabatic driving can be significantly improved by restricting the analysis to a relevant subspace of the system. We first show that both direct diagonalization and the Krylov method for obtaining the counterdiabatic
matrix can be accelerated through the use of subspace techniques, while still maintaining strong performance. We then demonstrate that the cost function used in the standard Krylov method can be further optimized by employing a subspace-based cost function. These findings open up new possibilities for applying counterdiabatic driving in a practical and efficient manner to a variety of
quantum systems.
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Quantum Physics · Cross-listed from math-ph
Rotation angles of a rotating disc as the holonomy of the Hopf fibration
Takuya Matsumoto
We address the fundamental question of how rotation angles arise in classical rigid body motion from a
geometric viewpoint. As a fundamental kinematical setting, we consider a rotating-disc model. We show that the rotation angle accumulated in a cyclic motion can be naturally decomposed into a dynamical phase and a
geometric phase, and that the latter is obtained from the $U(1)$ holonomy of the
Hopf fibration equipped with its canonical connection through a natural weight-two representation of the fiber group. By introducing a Gauss map based on a normal vector fixed at the center of the rotating disc, the physical periodic motion is mapped to a closed curve on the two-sphere $S^2$, whose horizontal lift in the
Hopf bundle $S^3 \to S^2$ determines the
geometric phase through the weight-two representation. This framework provides a conceptually clear interpretation of rotation angles as
geometric phases and clarifies the
geometric origin of their decomposition.
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Quantum Physics · Cross-listed from math-ph
Simon Du, Martin Fraas, Abi Gopal et al. (+1 more)
We investigate a proposal of Kitaev for a microscopic construction of a
Hamiltonian intended to describe the edge dynamics of a
quantum Hall system. We show that the construction works in the setting of translation-invariant free-
fermion Hamiltonians. In this case, the resulting edge
Hamiltonian exhibits only edge modes, and these modes have the correct chirality.
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All authors Simon Du, Martin Fraas, Abi Gopal, Nathan Singh
Quantum Physics
Combined Quantum and Post-Quantum Security Performance Under Finite Keys
Aman Gupta, Ravi Singh Adhikari, Anju Rani et al. (+2 more)
Recent advances in
quantum-secure communication have highlighted the value of hybrid schemes that combine
Quantum Key Distribution (QKD) with Post-
Quantum Cryptography (PQC). Yet most existing hybrid designs omit realistic finite-key effects on QKD key rates and do not specify how to maintain security when both QKD and PQC primitives leak information through side-channels. These gaps limit the applicability of hybrid systems in practical, deployed networks. In this work, we advance a recently proposed hybrid QKD-PQC system by integrating tight finite-key security to the QKD primitive and improving the design for better scalability. This hybrid system employs an information-theoretically secure instruction sequence that determines the configurations of different primitives and thus ensures message confidentiality even when both the QKD and the PQC primitives are compromised. The novelty in our work lies in the implementation of the tightest finite-key security to date for the BBM92 protocol and the design improvements in the primitives of the hybrid system that ensure the processing time scales linearly with the size of secret instructions.
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All authors Aman Gupta, Ravi Singh Adhikari, Anju Rani, Xiaoyu Ai, Robert Malaney
Quantum Physics
Adversarial Limits of Quantum Certification: When Eve Defeats Detection
Davut Emre Tasar
Security of
quantum key distribution (QKD) relies on certifying that observed correlations arise from genuine
quantum entanglement rather than eavesdropper manipulation. Theoretical security proofs assume idealized conditions, practical certification must contend with adaptive adversaries who optimize their attack strategies against detection systems. Established fundamental
adversarial limits for
quantum certification using Eve GAN, a generative
adversarial network trained to produce classical correlations indistinguishable from
quantum. Our central finding: when Eve interpolates her classical correlations with
quantum data at mixing parameter, all tested detection methods achieve ROC AUC = 0.50, equivalent to random guessing. This means an eavesdropper needs only 5% classical admixture to completely evade detection. Critically, we discover that same distribution calibration a common practice in prior certification studies inflates detection performance by 44 percentage points compared to proper cross distribution evaluation, revealing a systematic flaw that may have led to overestimated security claims. Analysis of Popescu Rohrlich (PR Box) regime identifies a sharp phase transition at CHSH S = 2.05: below this value, no statistical method distinguishes classical from
quantum correlations; above it, detection probability increases monotonically. Hardware validation on IBM
Quantum demonstrates that Eve-GAN achieves CHSH = 2.736, remarkably exceeding real
quantum hardware performance (CHSH = 2.691), illustrating that classical adversaries can outperform noisy
quantum systems on standard certification metrics. These results have immediate implications for QKD security: adversaries maintaining 95%
quantum fidelity evade all tested detection methods. We provide corrected methodology using cross-distribution calibration and recommend mandatory
adversarial testing for
quantum security claims.
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Quantum Physics · Cross-listed from cond-mat.mes-hall
In-plane anomalous features in the 3D quantum Hall regime
Ming Lu and Xiao-Xiao Zhang
Studies of the 3D
quantum Hall effect (QHE) have primarily emphasized transport features that mimic the well-established 2D QHE. In this work, we show that qualitatively new features arise when an in-plane
magnetic field is applied to a 3D Weyl semimetal in the
quantum Hall regime. An unexpected
Hall quantum oscillation, distinct from the Weyl-orbit oscillation, coexists with the QHE, along with an unquantized two-terminal magnetoresistance. Moreover, unconventional antichiral transmission enables a peculiar disorder-robust negative longitudinal resistance. Quantization tunable by the lead configuration is further found in this transport geometry. A unique type of nonlocal
quantum backscattering channels underlies these phenomena. Our work demonstrates a breakdown of the topological characterization of transport even with 3D Chern numbers and reveals hidden 3D QHE transport properties. It opens a new class of transport measurements and phenomena.
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Quantum Physics
The operator layer cake theorem is equivalent to Frenkel's integral formula
Hao-Chung Cheng, Gilad Gour, Ludovico Lami et al. (+1 more)
The operator layer cake
theorem provides an integral representation for the directional derivative of the operator logarithm in terms of a family of projections [arXiv:2507.06232]. Recently, the related work [arXiv:2507.07065] showed that the
theorem gives an alternative proof to Frenkel's integral formula for Umegaki's relative
entropy [
Quantum, 7:1102 (2023)]. In this short note, we find a converse implication, demonstrating that the operator layer cake
theorem is equivalent to Frenkel's integral formula.
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All authors Hao-Chung Cheng, Gilad Gour, Ludovico Lami, Po-Chieh Liu