Papers

Wenzhi Wang, Tianyu Li, Wei Yi·Mar 18, 2026

Boundary conditions can have dramatic impact in non-Hermitian systems, as exemplified by the non-Hermitian skin effect. Focusing on one-dimensional non-Hermitian quasiperioidic lattices, we show that the interplay of quasiperiodicity and the non-Herm...

Jeongbin Jo·Mar 18, 2026

Linear response theory and Green's functions provide a universal framework for understanding dynamical correlations in strongly correlated open quantum systems. While the theoretical foundation for non-Hermitian linear response has been recently esta...

Gengzhi Yang, Jiaqi Leng, Xiaodi Wu +1 more·Mar 17, 2026

Non-Hermitian many-body systems can be spectrally unstable, so small perturbations may induce large eigenvalue shifts. The pseudospectrum quantifies this instability and provides a perturbation-robust diagnostic. For inverse-polynomially small $ε$, w...

Paulo A. Brandão·Mar 16, 2026

We study a minimal non-Hermitian trimer with latent symmetry formed by a cospectral pair of sites embedded in a three-site network with nonreciprocal couplings. We show that the model admits an exact decomposition into dark and bright sectors: the da...

Trishna Kalita, Manash Jyoti Sarmah, Himangshu Prabal Goswami·Mar 16, 2026

We propose a theoretical model of a fully functional nonreciprocal quantum battery inspired by the architecture of bacterial light-harvesting complexes. We assign functional roles to collective quantum optical subradiant and superradiant states and i...

Chen Yang, Kodai Kanemaru, Norio Yoshida +2 more·Mar 16, 2026

Discrete circular convolution over $\mathbb{Z}/N\mathbb{Z}$ is a linear operator and can be implemented on quantum hardware within the linear-combination-of-unitaries (LCU) framework. In this work, we make this connection explicit through an asymmetr...

Federico Roccati, Federico Balducci·Mar 13, 2026

For decades, Hermiticity was considered an immutable axiom of quantum mechanics, essential for ensuring real energies and unitary evolution. This perspective has shifted radically, driven by the realization that non-Hermitian Hamiltonians provide a p...

Miloslav Znojil·Mar 13, 2026

Up to these days, the popular PT-symmetric imaginary cubic oscillator did not find any consistent probabilistic quantum-mechanical interpretation because its Hamiltonian has been shown, by mathematicians, intrinsic-exceptional-point (IEP) singular. I...

Zi-Qi Wang, Yi-Ming Sun, Yao-Dong Hu +4 more·Mar 12, 2026

Exceptional points (EPs) in non-Hermitian systems offer a remarkably strong response to weak perturbations, but the nonorthogonal nature of the corresponding eigenvectors causes noise to diverge, hindering EPs practical application. Here, we report a...

Mizuki Yamaguchi, Naoto Shiraishi·Mar 11, 2026

We present explicit counterexamples to a widespread empirical expectation that local commuting charges display all-or-nothing behavior. In the class of bosonic chains with symmetric nearest-neighbor hopping and arbitrary on-site terms (including non-...

Eric R. Bittner, Bhavay Tyagi, Kevin E. Bassler·Mar 11, 2026

Exceptional points (EPs), indicative of parity-time (PT) symmetry breaking, play a central role in non-Hermitian physics, yet most studies begin from deliberately engineered effective Hamiltonians whose parameters are tuned to exhibit exceptional beh...

Jan Wiersig, Stefan Rotter·Mar 11, 2026

Exceptional points (EPs) exhibit strongly enhanced spectral responses and are therefore promising candidates for sensing applications. Whether these non-Hermitian degeneracies provide a genuine advantage in the quantum regime has been the subject of ...

Sergio Giardino·Mar 8, 2026

Starting from generalized position operators, we derive complex and quaternionic angular momentum operators along with their commutation algebra as well. These algebras differ from the standard Hermitian ones, especially in terms of commutation relat...

Stefano Longhi·Mar 7, 2026

We predict and analyze boundary-driven exceptional points in semi-infinite Hermitian photonic waveguide lattices with a side-coupled defect. The exceptional points arise from coherent reflections at the lattice termination, which induce strong memory...

Pallabi Chatterjee, Bhabani Prasad Mandal, Ranjan Modak·Mar 7, 2026

The localization transition in the Hermitian Aubry-André model is known to have a clear classical origin, with the critical point being exactly predictable from an analysis of classical phase-space trajectories. Motivated by this correspondence, we i...

Guang-Hui Zhang, Yu-Wen Li, Xue-Ke Song +2 more·Mar 6, 2026

We propose to use counterdiabatic driving (CD) shortcut and the Floquet engineering to realize the robust and fast state transfer in the dissipation cavity magnon-polaritons non-Hermitian (NH) system. For the two-level NH cavity magnon-polaritons Ham...

Yanying Liang, Ruibin Xu, Mao-Sheng Li +2 more·Mar 5, 2026

Determining the physically accessible unitary dynamics of a quantum system under finite Hamiltonian resources is a central problem in quantum control and Hamiltonian engineering. Dynamical Lie algebras (DLAs) provide the fundamental link between avai...

Bartosz Regula, Marco Tomamichel·Mar 4, 2026

We introduce an improved one-shot characterisation of randomness extraction against quantum side information (privacy amplification), strengthening known one-shot bounds and providing a unified derivation of the tightest known asymptotic constraints....

Oem Trivedi, Alfredo Gurrola, Robert J. Scherrer·Mar 4, 2026

Hermiticity is usually treated as a foundational axiom of quantum mechanics, guaranteeing real spectra and unitary time evolution. In this work we argue that Hermiticity is more naturally understood as a symmetry law arising from the global conservat...

Nana Liu, Mark M. Wilde·Mar 4, 2026

Quantum measurements are the means by which we recover messages encoded into quantum states. They are at the forefront of quantum hypothesis testing, wherein the goal is to perform an optimal measurement for arriving at a correct conclusion. Mathemat...