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Discrete quantum trajectories of systems under random unitary gates and projective measurements have been shown to feature transitions in the entanglement scaling that are not encoded in the density matrix.
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2018
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C. W. von Keyserlingk, Tibor Rakovszky, Frank Pollmann, and S. L. Sondhi, “Operator hydrodynamics, OTOCs, and entanglement growth in systems without conservation laws,” Phys. Rev. X 8
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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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Brian Skinner, Jonathan Ruhman, and Adam Nahum, “Measurement-induced phase transitions in the dynamics of entanglement,” Phys. Rev. X 9
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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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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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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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Adam Nahum and Brian Skinner, “Entanglement and dynamics of diffusion-annihilation processes with Majorana defects,” Phys. Rev. Research 2
2020
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