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We introduce a class of hybrid quantum circuits, with random unitaries and projective measurements, which host long-range order in the area law entanglement phase of the steady state.
1903
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Dmitry A. Abanin, Ehud Altman, Immanuel Bloch, and Maksym Serbyn, “Colloquium: Many-body localization, thermalization, and entanglement,” Rev. Mod. Phys. 91
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Brian Skinner, Jonathan Ruhman, and Adam Nahum, “Measurement-induced phase transitions in the dynamics of entanglement,” Phys. Rev. X 9
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2014
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Xiangyu Cao, Antoine Tilloy, and Andrea De Luca, “Entanglement in a fermion chain under continuous monitoring,” SciPost Phys. 7
2019
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Amos Chan, Rahul M. Nandkishore, Michael Pretko, and Graeme Smith, “Unitary-projective entanglement dynamics,” Phys. Rev. B 99
2019
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M. Szyniszewski, A. Romito, and H. Schomerus, “Entanglement transition from variable-strength weak measurements,” Phys. Rev. B 100
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2019
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2019
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Yimu Bao, Soonwon Choi, and Ehud Altman, “Theory of the phase transition in random unitary circuits with measurements,” Phys. Rev. B 101
2020
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Chao-Ming Jian, Yi-Zhuang You, Romain Vasseur, and Andreas W. W. Ludwig, “Measurement-induced criticality in random quantum circuits,” Phys. Rev. B 101
2020
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Qicheng Tang and W. Zhu, “Measurement-induced phase transition: A case study in the nonintegrable model by density-matrix renormalization group calculations,” Phys. Rev. Research 2
2020
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Aidan Zabalo, Michael J. Gullans, Justin H. Wilson, Sarang Gopalakrishnan, David A. Huse, and J. H. Pixley, “Critical properties of the measurement-induced transition in random quantum circuits,” Phys. Rev. B 101
2020
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