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Article overview
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Quantum error correction and entanglement phase transition in random unitary circuits with projective measurements | | Soonwon Choi
; Yimu Bao
; Xiao-Liang Qi
; Ehud Altman
; | | Date: |
12 Mar 2019 | | Abstract: | We analyze the dynamics of entanglement entropy in a generic quantum
many-body open system from the perspective of quantum information and error
corrections. We introduce a random unitary circuit model with intermittent
projective measurements, in which the degree of information scrambling by the
unitary and the rate of projective measurements are independently controlled.
This model displays two stable phases, characterized by volume law and area law
of the steady state entanglement entropy, respectively. The transition between
the two phases is understood from the point of view of quantum error
correction: the chaotic unitary time evolution protects quantum information
from projective measurements that act as errors. A phase transition occurs when
the rate of errors exceeds a threshold that depends on the degree of
information scrambling, which is estimated by the quantum decoupling theorem in
a strong scrambling limit. We confirm these results using numerical simulations
and obtain the phase diagram of our model. | | Source: | arXiv, 1903.5124 | | Services: | Forum | Review | PDF | Favorites | |
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