Measurement-driven entanglement transition in hybrid quantum circuits

By Yaodong Li, Xiao Chen, Matthew Fisher. Physical review B, 2019

516 citations recorded by the source corpus.

Quantum information tends to spread out in interacting systems, leading to thermalization as characterized by the volume-law entropy of entanglement, while local measurements that extract classical information of the state tend to interrupt the propagation of information and reduce the entanglement entropy. Can entanglement sustain repeated measurements? The authors address this question in a toy hybrid-circuit model, where qubits undergo both unitary time evolution and sporadic local measurements. The phase diagram features a stable volume-law phase of entanglement for weak measurements and an area-law phase for strong measurements. The two domains in the diagram are separated by a single second-order phase transition. Characterization of both phases as well as of the critical point are presented.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/162b88da1b551735aae14db6f34c1ec270af44c0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. A. Nahum
2. Matthew Fisher
3. V. Khemani
4. B. Skinner
5. D. Huse
6. S. Vijay
7. J. Ruhman
8. Yaodong Li

In Atomic and Molecular Physics, and Optics

1. A. Nahum
2. Matthew Fisher
3. V. Khemani
4. D. Huse
5. B. Skinner
6. Yaodong Li
7. J. Ruhman
8. S. Vijay

Citations in the corpus

• Dynamical Purification Phase Transition Induced by Quantum Measurements (2019, methodology): “, N}, there is a natural extension of this algorithm that can be used to efficiently compute the bipartite entanglement of any contiguous region for a fixed ordering of sites, where contiguous is defined for periodic boundary conditions with respect to the chosen ordering [28, 55].”
• Measurement-induced entanglement phase transition on a superconducting quantum processor with mid-circuit readout (2022, methodology): “The specific form of the ansatz remains a topic of discussion and depends on the structure of the random circuits [14, 16, 18, 44].”
• Measurement-protected quantum phases (2020, methodology): “glement growth has been proposed in hybrid quantum circuits involving both unitary evolution and measurements [6–11].”
• Entanglement transition from variable-strength weak measurements (2019, methodology): “Alternative entanglement measures used in the literature include Rényi entropies [18, 20, 21] and mutual information [20, 21, 38].”
• Measurement and Entanglement Phase Transitions in All-To-All Quantum Circuits, on Quantum Trees, and in Landau-Ginsburg Theory (2020, background): “Conformal invariance in 1+1D Clifford measurement circuits has been demonstrated numerically [9, 15].”
• Entanglement Membrane in Chaotic Many-Body Systems (2019, background): “[70] Yaodong Li, Xiao Chen, and Matthew Fisher.”
• Effective Theory for the Measurement-Induced Phase Transition of Dirac Fermions (2021, background): “[8] Yaodong Li, Xiao Chen, and Matthew P.”