Papers
Live trends in quantum computing research, updated daily from arXiv.
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A Pseudo-Hermitian Hybrid Model at Finite Temperature: The Role of the Exceptional Points
Ignacio Fushimi, Marta Reboiro·Oct 9, 2025
We study a hybrid system formed by an ensemble of colour nitrogen-vacancy centres in diamond interacting with a superconducting flux-qubit at finite temperature. The presence of impurities in the system is modelled through pseudo-hermitian Hamiltonia...
Non-Hermitian many-body localization in asymmetric chains with long-range interaction
Wen Wang, Han-Ze Li, Jian-Xin Zhong·Oct 9, 2025
Understanding the relationship between many-body localization and spectra in non-Hermitian many-body systems is crucial. In a one-dimensional clean, long-range interaction-induced non-Hermitian many-body localization system, we have discovered the co...
Characterizing Liouvillian Exceptional Points Through Newton Polygons and Tropical Geometry
Sayooj P, Awadhesh Narayan·Oct 9, 2025
The dynamics of open quantum systems described by the Lindblad master equation follows according to non-Hermitian operators. As a result, such systems can host non-Hermitian degeneracies called Liouvillian exceptional points (EPs). In this work, we s...
Algebraic Geometry Codes and Decoded Quantum Interferometry
Andi Gu, Stephen P. Jordan·Oct 8, 2025
Decoded Quantum Interferometry (DQI) defines a duality that pairs decoding problems with optimization problems. The original work on DQI considered Reed-Solomon decoding, whose dual optimization problem, called Optimal Polynomial Intersection (OPI), ...
Beyond the non-Hermitian skin effect: scaling-controlled topology from Exceptional-Bound Bands
Mengjie Yang, Ching Hua Lee·Oct 7, 2025
We establish a novel mechanism for topological transitions in non-Hermitian systems that are controlled by the system size. Based on a new paradigm known as exceptional-bound (EB) band engineering, its mechanism hinges on the unique critical scaling ...
Quantum matrix arithmetics with Hamiltonian evolution
Christopher Kang, Yuan Su·Oct 7, 2025
The efficient implementation of matrix arithmetic operations underpins the speedups of many quantum algorithms. We develop a suite of methods to perform matrix arithmetics -- with the result encoded in the off-diagonal blocks of a Hamiltonian -- usin...
The tetrahedral Horn problem and asymptotics of U(n) 6j symbols
Anton Alekseev, Matthias Christandl, Thomas C. Fraser·Oct 6, 2025
Horn's problem is concerned with characterizing the eigenvalues $(a,b,c)$ of Hermitian matrices $(A,B,C)$ satisfying the constraint $A+B=C$ and forming the edges of a triangle in the space of Hermitian matrices. It has deep connections to tensor prod...
Emulation of Coherent Absorption of Quantum Light in a Programmable Linear Photonic Circuit
Govind Krishna, Jun Gao, Sam O Brien +5 more·Oct 2, 2025
Non-Hermitian quantum systems, governed by nonunitary evolution, offer powerful tools for manipulating quantum states through engineered loss. A prime example is coherent absorption, where quantum states undergo phase-dependent partial or complete ab...
On a Class of Time-Dependent Non-Hermitian Hamiltonians
F. Kecita, B. Khantoul, A. Bounames·Oct 2, 2025
We study a class of time-dependent (TD) non-Hermitian Hamiltonians $H(t)$ that can be transformed into a time-independent pseudo-Hermitian Hamiltonian $\mathcal{H}_{0}^{PH}$ using a suitable TD unitary transformation $F(t)$. The latter can in turn be...
Emergence and localization of exceptional points in an exactly solvable toy model
Miloslav Znojil·Oct 2, 2025
The most elementary non-Hermitian quantum square-well problem with real spectrum is considered. The Schroedinger equation is required discrete and endowed with PT-symmetric Robin (i.e., two-parametric) boundary conditions. Some of the rather enigmati...
Provably Optimal Quantum Circuits with Mixed-Integer Programming
Harsha Nagarajan, Zsolt Szabó·Oct 1, 2025
We present a depth-aware optimization framework for quantum circuit compilation that unifies provable optimality with scalable heuristics. For exact synthesis of a target unitary, we formulate a mixed-integer linear program (MILP) that linearly handl...
Exploiting Translational Symmetry for Quantum Computing with Squeezed Cat Qubits
Tomohiro Shitara, Gabriel Mintzer, Yuuki Tokunaga +1 more·Oct 1, 2025
Squeezed cat quantum error correction (QEC) codes have garnered attention because of their robustness against photon-loss and excitation errors while maintaining the biased-noise property of cat codes. In this work, we reveal the utility of the unexp...
Non-Hermitian comb effect in coupled clean and quasiperiodic chains
Soumya Ranjan Padhi, Souvik Roy, Biswajit Paul +2 more·Sep 30, 2025
We study localization properties in a system of non-Hermitian quasiperiodic chain coupled to a uniform chain or clean chain by inter-chain hopping. We find that in the limit of weak inter-chain coupling, such a coupled system exhibits transitions fro...
Observation of non-Hermitian topology in cold Rydberg quantum gases
Jun Zhang, Ya-Jun Wang, Shi-Yao Shao +16 more·Sep 30, 2025
The pursuit of topological phenomena in non-Hermitian systems has unveiled new physics beyond the conventional Hermitian paradigm, yet their realization in interacting many-body platforms remains a critical challenge. Exploring this interplay is esse...
Probing phase transitions in non-Hermitian systems with quantum entanglement
Ling-Feng Zhang, Wing Chi Yu·Sep 30, 2025
We study the quantum entanglement and quantum phase transition of the non-Hermitian anisotropic spin-$\frac{1}{2}$ XY model and XXZ model with the staggered imaginary field by analytical methods and numerical exact diagonalization, respectively. Vari...
INTRODUCTION AUX SYSTEMES QUANTIQUES NON-HERMITIQUES: PT-symétrie et pseudo Hermiticité
Maamache Mustapha·Sep 27, 2025
In recent decades, an important shift has taken place with the growing role of non-Hermitian quantum mechanics. What makes this framework remarkable is that the eigenvalues of the Hamiltonians involved can still be real, just as in the Hermitian case...
Quantum Measurement Trees, II: Quantum Observables as Ortho-Measurable Functions and Density Matrices as Ortho-Probability Measures
Peter J. Hammond·Sep 26, 2025
Given a quantum state in the finite-dimensional Hilbert space $ \C^n $, the range of possible values of a quantum observable is usually identified with the discrete spectrum of eigenvalues of a corresponding Hermitian matrix. Here any such observable...
Tensors, entanglement, separability, and their complexity
Shmuel Friedland·Sep 25, 2025
One of the most challenging problems in quantum physics is to quantify the entanglement of $d$-partite states and their separability. We show here that these problems are best addressed using tensors. The geometric measure of entanglement of a pure s...
Critical dynamics and superconducting state preparation in the quenched Kitaev chain with pairing imbalance
Y. B. Shi, Y. X. Zhang, S. W. Liu +1 more·Sep 25, 2025
The dynamical balance of the pairing term plays a crucial role in the emergence of topological superconductivity in the p-wave spinless Kitaev chain, particularly in the non-Hermitian regime. In this work, we systematically investigate the effects of...
Information-theoretic analysis of complex eigenmodes across avoided crossings in open microcavities
Kyu-Won Park, Soojoon Lee, Kabgyun Jeong·Sep 24, 2025
Avoided crossings (ACs) are hallmark signatures of mode interaction in quantum and wave systems. Open microcavities whose resonances are naturally described as quasi-normal modes (QNMs) with complex eigenfrequencies offer a convenient platform to obs...