Entanglement dynamics in hybrid quantum circuits

By Andrew C. Potter, Romain Vasseur. 2021

182 citations recorded by the source corpus.

The central philosophy of statistical mechanics (stat-mech) and random-matrix theory of complex systems is that while individual instances are essentially intractable to simulate, the statistical properties of random ensembles obey simple universal"laws". This same philosophy promises powerful methods for studying the dynamics of quantum information in ideal and noisy quantum circuits -- for which classical description of individual circuits is expected to be generically intractable. Here, we review recent progress in understanding the dynamics of quantum information in ensembles of random quantum circuits, through a stat-mech lens. We begin by reviewing discoveries of universal features of entanglement growth, operator spreading, thermalization, and chaos in unitary random quantum circuits, and their relation to stat-mech problems of random surface growth and noisy hydrodynamics. We then explore the dynamics of monitored random circuits, which can loosely be thought of as noisy dynamics arising from an environment monitoring the system, and exhibit new types of measurement-induced phases and criticality. Throughout, we attempt to give a pedagogical introduction to various technical methods, and to highlight emerging connections between concepts in stat-mech, quantum information and quantum communication theory.

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

View Paper: https://www.semanticscholar.org/paper/a3b7c1457b5d251b1e3fd25d1e3b152b0d051fbf

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. S. Vijay
5. Alec Jenkins
6. Felix Rönchen
7. Aruku Senoo
8. Joanna W. Lis

In Atomic and Molecular Physics, and Optics

1. A. Nahum
2. Matthew Fisher
3. V. Khemani
4. S. Vijay
5. Alec Jenkins
6. Aruku Senoo
7. Joanna W. Lis
8. W. McGrew

Citations in the corpus

• Midcircuit Operations Using the omg Architecture in Neutral Atom Arrays (2023, background): “A new class of phase transitions have garnered recent significant interest, where a transition in entanglement scaling is determined by the relative rate of mid-circuit measurements compared to coherent dynamics [9, 84, 85].”
• Random Quantum Circuits (2022, background): “Physical Review B, 90(17):174202, 2014.”