Entanglement of formation of mixed many-body quantum states via Tree Tensor Operators
arXiv:2011.01247 · doi:10.1103/PhysRevLett.128.040501
Abstract
We present a numerical strategy to efficiently estimate bipartite entanglement measures, and in particular the Entanglement of Formation, for many-body quantum systems on a lattice. Our approach exploits the Tree Tensor Operator tensor network ansatz, a positive loopless representation for density matrices which, as we demonstrate, efficiently encodes information on bipartite entanglement, enabling the up-scaling of entanglement estimation. Employing this technique, we observe a finite-size scaling law for the entanglement of formation in 1D critical lattice models at finite temperature for up to 128 spins, extending to mixed states the scaling law for the entanglement entropy.
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- Finite-temperature Rydberg arrays: quantum phases and entanglement characterization
- Full- and low-rank exponential Euler integrators for the Lindblad equation
- Gauge-Fixing Quantum Density Operators At Scale
- Optimal sampling of tensor networks targeting wave function's fast decaying tails
- Entanglement transitions in a boundary-driven open quantum many-body system
- Exact quantification of bipartite entanglement in unresolvable spin ensembles