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Structure of matrix product locally purifiable density operators
Yale Yauk, Yuhan Liu, Ignacio Cirac
Tensor network methods provide powerful analytical and numerical tools for characterizing quantum phases of matter. While the mathematical structure of matrix product states (MPS)…
Polynomial-time certification of fidelity for many-body mixed states and mixed-state universality classes
Yuhan Liu, Yijian Zou
Computation of Uhlmann fidelity between many-body mixed states generally involves full diagonalization of exponentially large matrices. In this work, we introduce a polynomial-time…
Trading Mathematical for Physical Simplicity: Bialgebraic Structures in Matrix Product Operator Symmetries
Yuhan Liu, Andras Molnar, Xiao-Qi Sun +3
Despite recent advances in the lattice representation theory of (generalized) symmetries, many simple quantum spin chains of physical interest are not included in the rigid framewo…
Parent Lindbladians for Matrix Product Density Operators
Yuhan Liu, Alberto Ruiz-de-Alarcón, Georgios Styliaris +3
Understanding quantum phases of matter is a fundamental goal in physics. For pure states, the representatives of phases are the ground states of locally interacting Hamiltonians, w…