Measurement-induced criticality in (2+1) -dimensional hybrid quantum circuits

By Xhek Turkeshi, Rosario Fazio, Marcello Dalmonte. 2020

137 citations recorded by the source corpus.

We investigate the dynamics of two-dimensional quantum spin systems under the combined effect of random unitary gates and local projective measurements. When considering steady states, a measurement-induced transition occurs between two distinct dynamical phases, one characterized by a volume-law scaling of entanglement entropy, the other by an area law. Employing stabilizer states and Clifford random unitary gates, we numerically investigate square lattices of linear dimension up to $L=48$ for two distinct measurement protocols. For both protocols, we observe a transition point where the dominant contribution in the entanglement entropy displays multiplicative logarithmic violations to the area law. We obtain estimates of the correlation length critical exponent at the percent level; these estimates suggest universal behavior and are incompatible with the universality class of 3D percolation.

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

View Paper: https://www.semanticscholar.org/paper/01253ae9476a1fb8950d05aec57aa7d37c9a4a64

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. J. Ruhman
6. S. Vijay
7. Sthitadhi Roy
8. S. Gopalakrishnan

In Atomic and Molecular Physics, and Optics

1. A. Nahum
2. Matthew Fisher
3. V. Khemani
4. B. Skinner
5. J. Ruhman
6. S. Vijay
7. S. Gopalakrishnan
8. Sthitadhi Roy

Citations in the corpus

• Entanglement and Charge-Sharpening Transitions in U(1) Symmetric Monitored Quantum Circuits (2021, background): “[36] Xhek Turkeshi, Rosario Fazio, and Marcello Dalmonte, “Measurement-induced criticality in (2+1) -dimensional hybrid quantum circuits,” Physical Review B 102 (2020), 10.”
• Measurement-induced entanglement phase transition on a superconducting quantum processor with mid-circuit readout (2022, unknown): “To date, a variety of models exhibiting entanglement transitions have been studied numerically, including random quantum circuits with local Clifford and Haar unitaries [16–19] and higher-dimensional connectivity [17, 20, 24, 25], interacting bosonic and spin chains [26, 27], and symmetric circuits ”
• Random Quantum Circuits (2022, background): “Numerical evidence for this transition has by now been found in a wide range of microscopic models (52, 53, 58, 68, 65, 66, 61, 62, 54, 63, 64, 77, 67).”
• Measurement and Entanglement Phase Transitions in All-To-All Quantum Circuits, on Quantum Trees, and in Landau-Ginsburg Theory (2020, background): “Clifford circuits are efficiently classically simulable, which has allowed direct tests of conformal invariance at the MPT in 1+1D [9, 15] and simulations in 2+1D [22].”