2022
DOI: 10.1103/physrevlett.129.080501
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Measurement-Induced Power-Law Negativity in an Open Monitored Quantum Circuit

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Cited by 42 publications
(18 citation statements)
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“…The cycle structure only depends στ −1 which has S n × S n symmetry, while the connected component depends on σ and τ independently and there is no apparent symmetry associated with the counting of fixed points of στ −1 . This is the replica symmetry breaking that leads to the disappearance of MPT in dissipative systems 22,23 . In the tensor network picture, the α gates connect all the legs between τ and σ, which makes up one connected component, and there are no more cycles.…”
Section: A Dephasing Channelmentioning
confidence: 99%
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“…The cycle structure only depends στ −1 which has S n × S n symmetry, while the connected component depends on σ and τ independently and there is no apparent symmetry associated with the counting of fixed points of στ −1 . This is the replica symmetry breaking that leads to the disappearance of MPT in dissipative systems 22,23 . In the tensor network picture, the α gates connect all the legs between τ and σ, which makes up one connected component, and there are no more cycles.…”
Section: A Dephasing Channelmentioning
confidence: 99%
“…A:B (p = 0, q, Γ > 0) = 2 log w(↑↓↑)w(↓↑↑) w(↓↓↑)w(↑↑↑) , (23) This describes the difference between the energy of the plaquettes at the end of the boundary domain walls. The case (p = 0, Γ = 0) is excluded because in this limit w(↓↓↑ ) = w(↑↑↓) = 0, which means the horizontal domain wall costs infinite energy, and the picture breaks down.…”
Section: ĩ(2)mentioning
confidence: 99%
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“…vironment, introducing uncontrolled noise in addition to controlled measurements. While relatively little is known about the effect of noise on monitored systems [28][29][30] , noise is generally expected to destabilize measurement-induced non-equilibrium phases. Finally, implementation of the model in Fig.…”
mentioning
confidence: 99%
“…Recently, a number of studies investigated the consequences of repeated projections or continuous monitoring on the evolution of quantum many-body systems. For systems undergoing both a random unitary evolution and measurements, a result that has aroused considerable interest lately is the existence of a measurement-induced phase transition (MIPT) in the entanglement entropy [23][24][25][26][27][28][29][30][31][32][33][34][35]. Most of these contributions focus on entanglement or Rényi entropies, i.e., information-related quantities which are likely salients in classical systems as well.…”
mentioning
confidence: 99%