Entanglement dynamics of noisy random circuits

Li, Zhi; Sang, Shengqi; Hsieh, Timothy H.

doi:10.1103/physrevb.107.014307

Cited by 17 publications

(11 citation statements)

References 30 publications

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“…when 1 ΓN , the second term will dominate and t * AB scales with 1/Γ with weak dependence on N . This is the limit when most of the energy cost in F AB comes from the domain wall, which agrees with the analysis in dissipative model without measurement 24 . However, when ΓN 1, the first term will dominate and t * AB will plateau at N/2 when Γ surpasses 1/N .…”

Section: ĩ(2)supporting

confidence: 88%

“…where costs Γ more than , so this time scale again scales with 1 Γ , as expected 24 . This new configuration also has impact on the entanglement velocity calculated in III C 2, which is now time dependent.…”

Section: ⇒ ⇒supporting

confidence: 59%

“…Another approach is to extend previous analyses using directed polymers by adding long range potentials that mimics the effect of dissipation. Improved simulations of the open quantum using tensor network 38 or stabilizer formalism 23,24 will also permit more refined computations of time scales and transitions.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…These can be equivalently regarded as subjecting the qubits to non-unitary quantum channels or Lindbladians, or as monitoring only a subset of measurements while averaging over the rest of the measurement outcomes. The volume-to-area-law transition as a function of monitored measurements disappears in the presence of dissipation 21 , which can be understood analytically via dissipation explicitly breaking the replica symmetry that needs to be spontaneously broken in the effective classical theory 15,[22][23][24][25] . At the same time, an understanding of the transient entanglement dynamics prior to reaching the long-time steady state remains important, to reveal limitations for time scales and circuit depths for which useful computations can be performed.…”

Section: Introductionmentioning

confidence: 99%

“…At the same time, an understanding of the transient entanglement dynamics prior to reaching the long-time steady state remains important, to reveal limitations for time scales and circuit depths for which useful computations can be performed. The coarse grained dynamics of random unitary circuit has been under theoretical scrutiny through the Kardar-Parisi-Zhang equation that describes the surface growth in the effective classical theory [16][17][18] , and how dissipation affects this dynamics is only recently studied in a similar setup without dissipation 24 .…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Statistical Mechanics of Monitored Dissipative Random Circuits

Li¹,

Claassen²

2023

Preprint

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Dissipation is inevitable in realistic quantum circuits. We examine the effects of dissipation on a class of monitored random circuits that exhibit a measurement-induced entanglement phase transition. This transition has previously been understood as an order-to-disorder transition of an effective classical spin model. We extend this mapping to include on-site dissipation described by the dephasing and spontaneous emission channel and study the corresponding 2D Ising model with Z2-symmetry-breaking interactions. We analyze the dynamical regimes of the mutual information and find that the joint action of monitored measurements and dissipation yields short time, intermediate time and steady state behavior that can be understood in terms of crossovers between different classical domain wall configurations. The presented analysis applies to monitored open or Lindbladian quantum systems and provides a tool to understand entanglement dynamics in realistic dissipative settings and small achievable system sizes.

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Section: ĩ(2)supporting

confidence: 88%

Section: ⇒ ⇒supporting

confidence: 59%

Section: Conclusion and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Statistical Mechanics of Monitored Dissipative Random Circuits

Li¹,

Claassen²

2023

Preprint

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Noisy Random Quantum Circuit Sampling and its Classical Simulation

Zhang

Wang²,

Han

2023

Adv Quantum Tech

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Demonstrating quantum advantage on noisy quantum devices is one of the most important tasks of quantum computing research in the near future. Random quantum circuit sampling is proposed as the most promising approach to the task and has been implemented in experiments for achieving quantum advantage. A series of encouraging computational complexity results, based on some plausible assumptions, show that this task is impossible to complete efficiently by classical computers. However, in practical experiments on noisy quantum devices, the approximate average‐case hardness and the effects of the noise need to be further checked. The competition between the classical simulation algorithm (mainly based on tensor network algorithms) and noisy quantum devices is the explicit way to understand quantum advantage in practice. This review briefly overviews the computational complexity arguments for the hardness of classical simulation of random quantum circuits sampling, then focus on various methods of classical simulation of quantum circuits based on tensor network method.

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Robustness of quantum chaos and anomalous relaxation in open quantum circuits

Yoshimura,

Sá

2024

Nat Commun

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Dissipation is a ubiquitous phenomenon that affects the fate of chaotic quantum many-body dynamics. Here, we show that chaos can be robust against dissipation but can also assist and anomalously enhance relaxation. We compute exactly the dissipative form factor of a generic Floquet quantum circuit with arbitrary on-site dissipation modeled by quantum channels and find that, for long enough times, the system always relaxes with two distinctive regimes characterized by the presence or absence of gap-closing. While the system can sustain a robust ramp for a long (but finite) time interval in the gap-closing regime, relaxation is “assisted” by quantum chaos in the regime where the gap remains nonzero. In the latter regime, we prove that, if the thermodynamic limit is taken first, the gap does not close even in the dissipationless limit. We complement our analytical findings with numerical results for quantum qubit circuits.

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Entanglement dynamics of noisy random circuits

Cited by 17 publications

References 30 publications

Statistical Mechanics of Monitored Dissipative Random Circuits

Statistical Mechanics of Monitored Dissipative Random Circuits

Noisy Random Quantum Circuit Sampling and its Classical Simulation

Robustness of quantum chaos and anomalous relaxation in open quantum circuits

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