6 papers
Symmetrized Block-Product Periodic Marginals in Infinite Translation-Invariant Quantum Chains
Xiao Zeng, Kaiyan Yang, Lingxia Zhang +1
We study local marginals in one-dimensional translation-invariant quantum systems that may hide finite-period structure. Given an -site reduced density matrix, we ask whether it…
Contextuality as a Diagnostic of Translation-Symmetry Breaking in Translation-Invariant 1D Hamiltonians
Xiao Zeng, Kaiyan Yang, Lingxia Zhang +1
Bell- and contextuality-type inequalities have become practical probes of many-body quantum correlations, often involving only few-body correlators and quantities with a direct Ham…
Local-Observable-Guided Generative Quantum Circuits for Degenerate Ground Spaces
Yiying Chen, Lingxia Zhang, Yanzheng Zhu +3
Searching for degenerate ground spaces in quantum many-body systems is central to understanding spontaneous symmetry breaking and topological order. Although existing numerical met…
On singular integrals with non-negative kernels in the Heisenberg group
Vasileios Chousionis, Sean Li, Lingxiao Zhang
In this paper we revisit nonnegative kernels in the first Heisenberg group $\He$, and in particular we further study the family $$K_α(x,y,z)= \frac{|z|^{α/2}}{\|(x,y,z)\|_{H}^{α…
Variational Optimization for Quantum Problems using Deep Generative Networks
Lingxia Zhang, Xiaodie Lin, Peidong Wang +4
Optimization drives advances in quantum science and machine learning, yet most generative models aim to mimic data rather than to discover optimal answers to challenging problems.…
Practical Advantage of Classical Communication in Entanglement Detection
Wen-Bo Xing, Min-Yu Lv, Lingxia Zhang +9
Entanglement is the cornerstone of quantum communication, yet conventional detection relies solely on local measurements. In this work, we present a unified theoretical and experim…