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…
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.…
Cost of Locally Approximating High-Dimensional Ground States of Contextual Quantum Models
Kaiyan Yang, Yanzheng Zhu, Xiao Zeng +3
Contextuality, one of the strongest forms of quantum correlations, delineates the quantum world and the classical one. It has been shown recently that some quantum models, in the f…