Phase Transitions in the Classical Simulability of Open Quantum Systems

arXiv:2111.06408 · quant-ph, cond-mat.other · Submitted 2021-11-11 · Read on arXiv

quant-ph, cond-mat.other

Submitted: 2021-11-11

Updated: 2021-11-11

Code: https://github.com/AndrewHallam/Langevin

Terminology

• Entanglement — 2× in this paper · explained in 4 episodes
• Phase Transition — 1× in this paper · explained in 2 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes

Sources

• Conformal invariance and quantum non-locality in critical hybrid circuits
• Matrix Product State Representations
• Feynman Path Integrals Over Entangled States
• Simulation methods for open quantum many-body systems
• Superoperators vs. Trajectories for Matrix Product State Simulations of Open Quantum System: A Case Study
• Quantum thermalization dynamics with Matrix-Product States
• Dissipative failure of adiabatic quantum transport as a dynamical phase transition
• Thermal States as Convex Combinations of Matrix Product States

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