Entanglement-Optimal Trajectories of Many-Body Quantum Markov Processes
- URL: http://arxiv.org/abs/2111.12048v2
- Date: Mon, 16 May 2022 10:28:30 GMT
- Title: Entanglement-Optimal Trajectories of Many-Body Quantum Markov Processes
- Authors: Tatiana Vovk and Hannes Pichler
- Abstract summary: We develop a novel approach aimed at solving the equations of motion of open quantum-body systems.
We introduce an adaptive quantum propagator, which minimizes the expected entanglement in the many-body quantum state.
We show that our method autonomously finds an efficiently representable area law unravelling.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We develop a novel approach aimed at solving the equations of motion of open
quantum many-body systems. It is based on a combination of generalized wave
function trajectories and matrix product states. We introduce an adaptive
quantum stochastic propagator, which minimizes the expected entanglement in the
many-body quantum state, thus minimizing the computational cost of the matrix
product state representation of each trajectory. We illustrate this approach on
the example of a one-dimensional open Brownian circuit. We show that this model
displays an entanglement phase transition between area and volume law when
changing between different propagators and that our method autonomously finds
an efficiently representable area law unravelling.
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