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quant-ph2026
The product structure of MPS-under-permutations
Marta Florido-Llinà s, Ãlvaro M. Alhambra, Rahul Trivedi +3
Tensor network methods have proved to be highly effective in addressing a wide variety of physical scenarios, including those lacking an intrinsic one-dimensional geometry. In such…
quant-ph2025
Matrix Product Density Operators: Renormalization Fixed Points and Boundary Theories
J. I. Cirac, D. Perez-Garcia, N. Schuch +1
We consider the tensors generating matrix product states and density operators in a spin chain. For pure states, we revise the renormalization procedure introduced by F. Verstraete…
quant-ph2024
Lower Bounding Ground-State Energies of Local Hamiltonians Through the Renormalization Group
Ilya Kull, Norbert Schuch, Ben Dive +1
Given a renormalization scheme, we show how to formulate a tractable convex relaxation of the set of feasible local density matrices of a many-body quantum system. The relaxation i…