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Live trends in quantum computing research, updated daily from arXiv.
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Explicit Connections Between Krylov and Nielsen Complexity
Ben Craps, Gabriele Pascuzzi, Juan F. Pedraza +2 more·Nov 19, 2025
We establish a direct correspondence between Krylov and Nielsen complexity by choosing the Krylov basis to be part of the elementary gate set of Nielsen geometry and selecting a Nielsen complexity metric compatible with the Krylov metric. Up to norma...
Quantum measurement tomography with mini-batch stochastic gradient descent
Akshay Gaikwad, Manuel Sebastian Torres, Anton Frisk Kockum·Nov 19, 2025
Drawing inspiration from gradient-descent methods developed for data processing in quantum state tomography [\href{https://iopscience.iop.org/article/10.1088/2058-9565/ae0baa}{Quantum Sci.~Technol.~\textbf{10} 045055 (2025)}] and quantum process tomo...
Stochastic unravelings for trace-nonpreserving open quantum system dynamics
Federico Settimo, Kimmo Luoma, Dariusz Chruściński +3 more·Nov 19, 2025
Stochastic unravelings allow to efficiently simulate open system dynamics, yet their application has traditionally been restricted to master equations that preserve both Hermiticity and trace. In this work, we introduce a general framework that exten...
Canonical quantization for Equilibrium Thermodynamics
Luis F. Santos, Victor Hugo M. Ramos, Danilo Cius +2 more·Nov 18, 2025
We formulate a canonical quantization of Equilibrium Thermodynamics by applying Dirac's theory of constrained systems. Thermodynamic variables are treated as conjugate pairs of coordinates and momenta, allowing extensive and intensive quantities to b...
Topological enhancement of a PT-symmetric Su-Schrieffer-Heeger quantum battery
A-Long Zhou, Ya-Wen Xiao, Nuo Xu +5 more·Nov 17, 2025
We investigate a non-Hermitian quantum battery based on the Su-Schrieffer-Heeger (SSH) lattice, charged through a parity-time (PT)-symmetric protocol that alternates gain and loss between the two sublattices. The interplay between lattice topology an...
Topological Phases in Non-Hermitian Nonlinear-Eigenvalue Systems
Yu-Peng Ma, Ming-Jian Gao, Jun-Hong An·Nov 17, 2025
The discovery of topological phases has ushered in a new era of condensed matter physics and revealed a variety of natural and artificial materials. They obey the bulk-boundary correspondence (BBC), which guarantees the emergence of boundary states w...
$\mathcal{PT}$-like phase transitions from square roots of supersymmetric Hamiltonians
Jacob L. Barnett, Ramy El-Ganainy·Nov 16, 2025
We introduce a general framework for realizing $\mathcal{PT}$-like phase transitions in non-Hermitian systems without imposing explicit parity--time ($\mathcal{PT}$) symmetry. The approach is based on constructing a Hamiltonian as the square root of ...
Survival of Hermitian Criticality in the Non-Hermitian Framework
Fei Wang, Guoying Liang, Zecheng Zhao +3 more·Nov 15, 2025
In this work, we investigate many-body phase transitions in a one-dimensional anisotropic XY model subject to a complex-valued transverse field. Within the biorthogonal framework, we calculate the ground-state correlation functions and entanglement e...
Photonic spin Hall effect in $\mathcal{PT}$-symmetric non-Hermitian cavity magnomechanics
Shah Fahad, Muzamil Shah, Gao Xianlong·Nov 15, 2025
Non-Hermitian cavity magnomechanics (CMM), which incorporates the magnon-photon and magnon-phonon interactions simultaneously, enables rich physical phenomena, including exceptional-point-enhanced sensing, and offers pathways toward topological trans...
Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls
Yoshiki Fukusumi, Taishi Kawamoto·Nov 14, 2025
We study conformal field theories (CFTs) and their classifications from a modern perspective based on the abstract algebraic formalism of symmetries or conserved charges, known as symmetry topological field theories (SymTFTs). By studying the algebra...
Entanglement Phase Transition in Chaotic non-Hermitian Systems
Zhen-Tao Zhang, Feng Mei·Nov 13, 2025
We have studied entanglement phase transition in a class of chaotic non-Hermitian spin chain in which its spin-spin coupling term commutes with the non-Hermitian term. Two models are investigated: transverse field Ising model with a complex longitudi...
Quantum Simulation of Non-unitary Dynamics via Contour-based Matrix Decomposition
Chao Wang, Huan-Yu Liu, Cheng Xue +4 more·Nov 13, 2025
We introduce contour-based matrix decomposition (CBMD), a framework for scalable simulation of non-unitary dynamics. Unlike existing methods that follow the ``integrate-then-discretize" paradigm and rely heavily on numerical quadrature, CBMD generali...
Competing Localizations on Disordered Non-Hermitian Random Graph Lattice
S Rahul, A Harshitha·Nov 13, 2025
Phase transitions in one-dimensional lattice systems are well established and have been extensively studied within both Hermitian and non-Hermitian frameworks. In this work, we extend this understanding to a more general setting by investigating loca...
Improved coherence time of a non-Hermitian qubit in a $\mathcal{PT}$-symmetric Environment
Duttatreya, Ipsika Mohanty, Sanjib Dey·Nov 13, 2025
Quantum computing's potential for exponential speedup is fundamentally limited by decoherence, a phenomenon arising from environmental interactions. Non-Hermitian quantum mechanics, particularly $PT$-symmetric systems, offers a novel framework for ex...
Green Function Invariants for Floquet Topological Superconductivity Induced by Proximity Effects
Mohamed Assili, Panagiotis Kotetes·Nov 12, 2025
We bring forward a Green function approach for the prediction of Floquet topological phases in driven superconductor-semiconductor hybrids. Although it is common to treat the superconducting component as a mere Cooper-pair reservoir, it was recently ...
Infinite-component $BF$ field theory: Connection of fracton order, Toeplitz braiding, and non-Hermitian amplification
Bo-Xi Li, Peng Ye·Nov 12, 2025
Building on the infinite-component Chern--Simons theory of three-dimensional fracton phases by Ma et al. [Phys. Rev. B 105, 195124 (2022)] and the Toeplitz braiding of anyons by Li et al.~[Phys. Rev B 110, 205108 (2024)], we show that stacking $(3+1)...
Phase transitions and spectral singularities in a class of one-dimensional parity-time-symmetric complex potentials
Jinlin Fan, Feilong Wang, Ruolin Chai Zhibin Zhao +1 more·Nov 12, 2025
We investigate a two-parametric family of one-dimensional non-Hermitian complex potentials with parity-time ($\mathcal{PT}$) symmetry. We find that there exist two distinct types of phase transitions, from an unbroken phase (characterized by a real s...
Complex Eigenvalues in a pseudo-Hermitian \b{eta}-Laguerre ensemble
Cleverson Andrade Goulart, Gleb Oshanin, Mauricio Porto Pato·Nov 12, 2025
Non-Hermitian PT-symmetric models have been extensively studied in recent years. Following the seminal work that reduced classical random matrix ensembles to a tridiagonal form, several efforts have aimed to generalize this framework to non-Hermitian...
Finite-dimensional Lie algebras in bosonic quantum dynamics: The single-mode case
Tim Heib, Andreea Silvia Goia, Sona Baghiyan +2 more·Nov 10, 2025
We study, classify, and explore the mathematical properties of finite-dimensional Lie algebras occurring in the quantum dynamics of single-mode and self-interacting bosonic systems. These Lie algebras are contained in the real skew-hermitian Weyl alg...
Observation of Non-Hermitian Spectral Deformation in Complex Momentum Space
Mu Yang, Yue Li, Mingtao Xu +4 more·Nov 10, 2025
Open systems feature a variety of phenomena that arise from non-Hermitian physics. Recent theoretical studies have offered much insights into these phenomena through the non-Bloch band theory, though many of the theory's key features are experimental...