Papers
Live trends in quantum computing research, updated daily from arXiv.
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Hardware platform mentions in abstracts — Photonic leads
Heisenberg-Limited Quantum Eigenvalue Estimation for Non-normal Matrices
Yukun Zhang, Yusen Wu, Xiao Yuan·Oct 22, 2025
Estimating the eigenvalues of non-normal matrices is a foundational problem with far-reaching implications, from modeling non-Hermitian quantum systems to analyzing complex fluid dynamics. Yet, this task remains beyond the reach of standard quantum a...
Burau representation, Squier's form, and non-Abelian anyons
Alexander Kolpakov·Oct 21, 2025
We introduce a frequency-tunable, two-dimensional non-Abelian control of operation order constructed from the reduced Burau representation of the braid group $B_3$, specialised at $t=e^{iω}$ and unitarized by Squier's Hermitian form. Coupled to two n...
Non-stabilizerness as a Diagnostic of Criticality and Exceptional Points in Non-Hermitian Spin Chains
Cătălin Paşcu Moca, Doru Sticlet, Balázs Dóra·Oct 20, 2025
We investigate non-stabilizerness, also known as ``magic,'' to understand criticality and exceptional points in non-Hermitian quantum many-body systems. Our focus is on parity-time ($\mathcal{PT}$) symmetric spin chains, specifically the non-Hermitia...
Real critical exponents from the $\varepsilon$-expansion in an interacting $U(1)$ model with non-Hermitian $Z_4$ anisotropy
Eduard Naichuk, Jeroen van den Brink, Flavio S. Nogueira·Oct 20, 2025
In quantum optics and condensed matter physics non-Hermitian phenomena are often studied under the assumption of an open physical system. However, there are examples of intrinsically non-Hermitian, though often $\mathcal{PT}$ (parity-time) symmetric,...
Klein-Gordon equation within the real Hilbert space formalism
Cristiano Rosa, Sergio Giardino·Oct 18, 2025
Within this article one finds the statement of the Klein-Gordon problem within the real Hilbert space formalism ($\mathbbm R$HS) in terms of complex wave functions, and in terms of quaternionic wave functions as well. The complex formulation comprise...
Exceptional Antimodes in Multi-Drive Cavity Magnonics
Mawgan A. Smith, Ryan D. McKenzie, Alban Joseph +2 more·Oct 17, 2025
Driven-dissipative systems provide a natural setting for the emergence of exceptional points -- i.e. non-Hermitian degeneracies where eigenmodes coalesce. These points are important for applications such as sensing, where enhanced sensitivity is requ...
Photonic Exceptional Points in Holography and QCD
Mahdis Ghodrati·Oct 17, 2025
In this work, based on an analogy with holographic confining geometries and using complexified fields, we build a holographic toy model of third order photonic exceptional points (EPs) of ternary coupled microrings with gain and loss, which makes an ...
Entanglement complexification transition driven by a single non-Hermitian impurity
Yao Zhou, Peng Ye·Oct 17, 2025
While non-Hermitian bulk systems and their sensitivity to boundary conditions have been extensively studied, how a non-Hermitian boundary affects the entanglement structure of Hermitian critical systems remains largely unexplored. Here we present a f...
Non-Hermitian topological filters
Vinzenz Zimmermann, Amin Hashemi, Kurt Busch +2 more·Oct 16, 2025
We introduce a non-Hermitian photonic filter that harnesses dissipation to selectively isolate a desired topological state. In science and engineering, dissipation is often used to filter incoherent waves, producing a pure coherent output. Here, we a...
Systolic Array Acceleration of Diagonal-Optimized Sparse-Sparse Matrix Multiplication for Efficient Quantum Simulation
Yuchao Su, Srikar Chundury, Jiajia Li +1 more·Oct 16, 2025
Hamiltonian simulation is a key workload in quantum computing, enabling the study of complex quantum systems and serving as a critical tool for classical verification of quantum devices. However, it is computationally challenging because the Hilbert ...
Yang-Lee edge singularity and quantum criticality in non-Hermitian PXP model
Wen-Yi Zhang, Meng-Yun Mao, Qing-Min Hu +3 more·Oct 15, 2025
We present a comprehensive theoretical framework for quantum criticality in the non-Hermitian detuned PXP model, and establish the complete phase diagram, which had remained elusive in previous studies. Starting from a numerically identified phase tr...
Exact dynamics and qubit inversion of non-Hermitian driven two-level systems
Ivan A. Bocanegra-Garay, Luis M. Nieto·Oct 15, 2025
The supersymmetric structure of a generalized non-Hermitian driven two-level system is demonstrated. A unitary rotation turns the Hamiltonian into a more convenient form. After decoupling a set of differential equations, the supersymmetric structure ...
Homodyne Measurement of a Non-Hermitian Qubit Undergoing Fluorescence
Roson Nongthombam, Amarendra K. Sarma·Oct 15, 2025
Implementation of a two-level non-Hermitian qubit via post-selection of a three-level system has been demonstrated. The post-selection procedure, which discards quantum jump to the ground-state manifold while retaining excitations in the first and se...
Time-dependent Variational Principles for Hybrid Non-Unitary Dynamics: Application to Driven-Dissipative Superconductors
Pasquale Filice, Marco Schirò, Giacomo Mazza·Oct 14, 2025
We introduce time-dependent variational principles to study the non-unitary dynamics of open quantum many-body systems, including dynamics described by the full Lindblad master equation, the non-Hermitian dynamics corresponding to the no-click limit ...
Non-Hermitian Realization of Quantum Dynamics on Embedded Manifolds
Samuel Alperin·Oct 13, 2025
We show that the Floquet Hamiltonian of a quantum particle driven by a general time-periodic imaginary potential is exactly equivalent, at stroboscopic times, to the Hamiltonian of a free particle constrained to a curved Riemannian manifold with fixe...
Quantum-Squeezing-Induced Algebraic Non-Hermitian Skin Effects and Ultra Spectral Sensitivity
Zhao-Fan Cai, Tao Liu·Oct 12, 2025
The well-established non-Bloch band theory predicts exponential localization of skin-mode eigenstates in one-dimensional (1D) non-Hermitian systems. Recent studies, however, have uncovered anomalous algebraic localization in higher dimensions. Here, ...
Liouvillian Exceptional Points in Quantum Brickwork Circuits
Vladislav Popkov, Mario Salerno·Oct 12, 2025
We demonstrate that Liouvillian exceptional points (LEPs), previously explored only in continuous Lindbladian dynamics, also emerge in discrete brickwork completely positive trace-preserving (CPTP) circuits. By analytically solving a minimal two-qubi...
Defect-driven incoherent skin localization
Emmanouil T. Kokkinakis, Konstantinos G. Makris, Eleftherios N. Economou·Oct 11, 2025
The process of dephasing during wave evolution has traditionally been viewed as an obstacle to localization, leading to diffusion even in strongly disordered Hermitian lattices. In contrast, here we demonstrate how the interplay of dephasing with non...
Nonlocal Games Through Communication Complexity and Quantum Cryptography
Pierre Botteron·Oct 10, 2025
This thesis explores foundational aspects of quantum information theory and quantum cryptography. First, we investigate quantum correlations in interactive settings, including the CHSH and graph isomorphism games. We aim to distinguish quantum correl...
Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
Hong Wu, Xue-Min Yang, Hui Liu·Oct 10, 2025
Topological edge states in gaps of non-Hermitian systems are robust due to topological protection. Using the non-Hermitian Floquet Su-Schrieffer-Heeger model, we show that this robustness can break down: edge states may be suppressed by infinitesimal...