“Measurement-induced phase transitions on dynamical quantum trees” by Xiaozhou Feng
Автор: Virtual Science Forum
Загружено: 2022-11-15
Просмотров: 517
https://arxiv.org/abs/2210.07264
Authors: Xiaozhou Feng, Brian Skinner, Adam Nahum
Monitored many-body systems fall broadly into two dynamical phases, "entangling" or "disentangling", separated by a transition as a function of the rate at which measurements are made on the system. Producing an analytical theory of this measurement-induced transition is an outstanding challenge. Recent work made progress in the context of tree tensor networks, which can be related to all-to-all quantum circuit dynamics with forced (postselected) measurement outcomes. So far, however, there are no exact solutions for dynamics of spin-1/2 degrees of freedom (qubits) with "real" measurements, whose outcome probabilities are sampled according to the Born rule. Here we define dynamical processes for qubits, with real measurements, that have a tree-like spacetime interaction graph, either collapsing or expanding the system as a function of time. The former case yields an exactly solvable measurement transit
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