5 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+1}…
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…