Papers
Live trends in quantum computing research, updated daily from arXiv.
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Low-temperature transition of 2d random-bond Ising model and quantum infinite randomness
Akshat Pandey, Aditya Mahadevan, A. Alan Middleton +1 more·Mar 2, 2026
At low temperatures, the classical two-dimensional random bond Ising model undergoes a frustration-driven ferromagnet-to-paramagnet transition controlled by a zero-temperature fixed point separating ferromagnet and spin glass phases. We show that thi...
Theory of the Uhlmann Phase in Quasi-Hermitian Quantum Systems
Xu-Yang Hou, Xin Wang, Hao Guo·Mar 2, 2026
Geometric phases play a fundamental role in understanding quantum topology, yet extending the Uhlmann phase to non-Hermitian systems poses significant challenges due to parameter-dependent inner product structures. In this work, we develop a comprehe...
Compile-once block encodings for masked similarity-transformed effective Hamiltonians
Bo Peng, Yuan Liu, Karol Kowalski·Feb 28, 2026
We present COMPOSER, a compile-once modular parametric oracle for similarity-encoded effective reduction of electronic-structure operators (e.g., Schrieffer-Wolff-type constructions). Low-rank factorizations compress Hamiltonians and anti-Hermitian g...
Lévy-index control of spectral singularities and coherent perfect absorption in non-Hermitian space-fractional quantum mechanics
Vibhav Narayan Singh, Mohammad Umar, Mohammad Hasan +1 more·Feb 27, 2026
We investigate the scattering features of a non-Hermitian rectangular potential within the framework of space-fractional quantum mechanics. Using the Riesz fractional derivative, we analytically derive locus equations for spectral singularities (SSs)...
Coherence squeezing in optical interference
Martti Hanhisalo, Atri Halder, Tero Setälä +1 more·Feb 26, 2026
We introduce the concept of optical coherence squeezing in double-slit interference. We construct Hermitian operators that characterize the coherence at the slits, leading to coherence uncertainty relations and a corresponding squeezing condition. We...
On some signatures of Lie-Hamilton System in Quantum Hamilton Jacobi Equation
Arindam Chakraborty·Feb 26, 2026
The general forms of Quantum Hamilton Jacobi Equation for a particle of constant mass, position dependent effective mass and non-Hermitian Effective mass Swanson model have been considered. It has been found that the said equations can be recast in t...
Quantum jumps in open cavity optomechanics and Liouvillian versus Hamiltonian exceptional points
Aritra Ghosh, M. Bhattacharya·Feb 25, 2026
Exceptional points, where two or more eigenstates of a non-Hermitian system coalesce, are now of interest across many fields of physics, from the perspective of open-system dynamics, sensing, nonreciprocal transport, and topological phase transitions...
Quantum Error Mitigation Simulates General Non-Hermitian Dynamics
Hiroki Kuji, Suguru Endo, Tetsuro Nikuni +2 more·Feb 25, 2026
While non-Hermitian Hamiltonians enable exotic dynamical phenomena, implementing their nonunitary time evolution on near-term quantum devices remains challenging. We propose a hardware-friendly protocol that simulates non-Hermitian dynamics without c...
Deep Sequence Modeling with Quantum Dynamics: Language as a Wave Function
Ahmed Nebli, Hadi Saadatdoorabi, Kevin Yam·Feb 24, 2026
We introduce a sequence modeling framework in which the latent state is a complex-valued wave function evolving on a finite-dimensional Hilbert space under a learned, time-dependent Hamiltonian. Unlike standard recurrent architectures that rely on ga...
Klein--Gordon oscillator with linear--fractional deformed Casimirs in doubly special relativity
Abdelmalek Boumali, Nosratollah Jafari·Feb 24, 2026
We study the Klein--Gordon (KG) oscillator in a doubly special relativity (DSR) framework, where the mass-shell condition is deformed through a linear--fractional (Möbius-type) modification of the Casimir invariant. This is induced by a nonlinear map...
Directional Dynamics of the Non-Hermitian Skin Effect
Bin Yi·Feb 20, 2026
The dynamical consequences of the non-Hermitian skin effect (NHSE) remain largely unexplored despite extensive studies of its static properties. Here we address this gap by applying quantum Liang information flow (QLIF) an inherently directional meas...
Shortcuts to Adiabaticity via Adaptive Quantum Zeno Measurements
Adolfo del Campo·Feb 19, 2026
We consider the quantum Zeno dynamics arising from monitoring a time-dependent projector. Starting from a stroboscopic measurement protocol, it is shown that the effective Hamiltonian for Zeno dynamics involves a nonadiabatic geometric connection tha...
Topological Boundary Time Crystal Oscillations
Dominik Nemeth, Ahsan Nazir, Alessandro Principi +1 more·Feb 19, 2026
Boundary time crystals (BTCs) break time-translation symmetry and exhibit long-lived, robust oscillations insensitive to initial conditions. We show that collective spin BTCs can admit emergent topological winding numbers in operator space. Expanding...
States that grow linearly in time, exceptional points, and zero norm states in the simple harmonic oscillator
Philip D. Mannheim·Feb 19, 2026
The simple harmonic oscillator has a well-known normalizable, positive energy, bound state spectrum. We show that degenerate with each such positive energy eigenvalue there is a non-normalizable positive energy eigenstate whose eigenfunction is ortho...
Phase transitions in quasi-Hermitian quantum models at exceptional points of order four
Miloslav Znojil·Feb 19, 2026
Quantum phase transition is interpreted as an evolution, at the end of which a parameter-dependent Hamiltonian $H(g)$ loses its observability. In the language of mathematics, such a quantum catastrophe occurs at an exceptional point of order $N$ (EPN...
Global bifurcations and basin geometry of the nonlinear non-Hermitian skin effect
Heng Lin, Yunyao Qi, Gui-Lu Long·Feb 19, 2026
We study a continuum Hatano--Nelson model with a saturating nonlinear nonreciprocity and analyze its stationary states via the associated phase-space flow. We uncover a global scenario controlled by a subcritical Hopf bifurcation and a saddle-node of...
Controlling energy spectra and skin effect via boundary conditions in non-Hermitian lattices
S Rahul, Pasquale Marra·Feb 18, 2026
Non-Hermitian systems exhibit unique spectral properties, including the non-Hermitian skin effect and exceptional points, often influenced by boundary conditions. The modulation of these phenomena by generalized boundary conditions remains unexplored...
Deformed Heisenberg algebra and its Hilbert space representations
Latévi M. Lawson, Ibrahim Nonkané, Kinvi Kangni·Feb 17, 2026
A deformation of Heisenberg algebra induces among other consequences a loss of Hermiticity of some operators that generate this algebra. Therefore, these operators are not Hermitian, nor is the Hamiltonian operator built from them. In the present pap...
Erratic Liouvillian Skin Localization and Subdiffusive Transport
Stefano Longhi·Feb 16, 2026
Non-Hermitian systems with globally reciprocal couplings -- such as the Hatano-Nelson model with stochastic imaginary gauge fields -- avoid the conventional non-Hermitian skin effect, displaying erratic bulk localization while retaining ballistic tra...
Non-Hermitian Quantum Mechanics of Open Quantum Systems: Revisiting The One-Body Problem
Naomichi Hatano, Gonzalo Ordonez·Feb 15, 2026
We review analyses of open quantum systems. We show how non-Hermiticity arises in an open quantum system with an infinite environment, focusing on the one-body problem. One of the reasons for taking the present approach is that we can solve the probl...