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Mean-field entanglement transitions in random tree tensor networks · Around

2020

Mean-field entanglement transitions in random tree tensor networks

Lopez-Piqueres, Javier, Ware, Brayden, Vasseur, Romain

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Entanglement phase transitions in quantum chaotic systems subject to projective measurements and in random tensor networks have emerged as a new class of critical points separating phases with different entanglement scaling.

We propose a mean-field theory of such transitions by studying the entanglement properties of random tree tensor networks.
As a function of bond dimension, we find a phase transition separating area-law from logarithmic scaling of the entanglement entropy.
Using a mapping onto a replica statistical mechanics model defined on a Cayley tree and the cavity method, we analyze the scaling properties of such transitions.

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S. Choi, Y. Bao, X.-L. Qi, and E. Altman, “Quantum error correction in scrambling dynamics and measurement induced phase transition,” (2019), arXiv:1903.05124 [quant-ph]
Original
1903
Earlier work this paper cites.
M. J. Gullans and D. A. Huse, “Dynamical purification phase transition induced by quantum measurements,” (2019), arXiv:1905.05195 [quant-ph]
Original
1905
Earlier work this paper cites.
Y. Bao, S. Choi, and E. Altman, “Theory of the Phase Transition in Random Unitary Circuits with Measurements,” (2019), arXiv:1908.04305 [cond-mat.stat-mech]
Original
1908
Earlier work this paper cites.
C.-M. Jian, Y.-Z. You, R. Vasseur, and A. W. W. Ludwig, “Measurement-induced criticality in random quantum circuits,” (2019), arXiv:1908.08051 [cond-mat.stat-mech]
Original
1908
Earlier work this paper cites.
M. J. Gullans and D. A. Huse, “Scalable probes of measurement-induced criticality,” (2019), arXiv:1910.00020 [cond-mat.stat-mech]
Original
1910
Earlier work this paper cites.
A. Zabalo, M. J. Gullans, J. H. Wilson, S. Gopalakrishnan, D. A. Huse, and J. H. Pixley, “Critical properties of the measurement-induced transition in random quantum circuits,” (2019), arXiv:1911.00008 [cond-mat.dis-nn]
Original
1911
Earlier work this paper cites.
S. Katsura and M. Takizawa, Progress of Theoretical Physics 51
1974
Earlier work this paper cites.
B. Nienhuis, Phys. Rev. Lett. 49
1982
Earlier work this paper cites.
M. Mézard, G. Parisi, and M. Virasoro, Spin glass theory and beyond: An Introduction to the Replica Method and Its Applications , Vol. 9 (World Scientific Publishing Company, 1987)
1987
Earlier work this paper cites.
C.-K. Hu and N. S. Izmailian, Physical Review E 58
1998
Earlier work this paper cites.
L. Zhang, J. A. Reyes, S. Kourtis, C. Chamon, E. R. Mucciolo, and A. E. Ruckenstein, “Nonuniversal entanglement level statistics in projection-driven quantum circuits,” (2020), arXiv:2001.11428 [cond-mat.stat-mech]
Original
2001
Earlier work this paper cites.
Y.-Y. Shi, L.-M. Duan, and G. Vidal, Phys. Rev. A 74
2006
Earlier work this paper cites.
L. Amico, R. Fazio, A. Osterloh, and V. Vedral, Rev. Mod. Phys. 80
2008
Earlier work this paper cites.

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