Measurement-induced criticality and entanglement clusters: A study of one-dimensional and two-dimensional Clifford circuits
Oliver Lunt, Marcin Szyniszewski, Arijeet Pal
Abstract
Measurement-induced entanglement transitions in quantum dynamics represent a new class of nonequilibrium transitions, akin to thresholds in quantum error correction. In this work, the authors explore the universal properties of entanglement transitions in one- and two-dimensional monitored Clifford circuits, using a graph-state-based algorithm to unravel geometric properties of entanglement. A study of entanglement clusters in the steady state reveals that, despite similarities in the bulk, the surface critical exponents show strong deviations from classical percolation.
Topics & Concepts
Quantum entanglementCriticalityStatistical physicsClass (philosophy)QuantumPhysicsQuantum mechanicsNon-equilibrium thermodynamicsState (computer science)Theoretical physicsSquashed entanglementMultipartite entanglementQuantum discordMathematicsW stateQuantum computerAmplitude damping channelDynamics (music)Quantum stateCritical exponentQuantum informationTopology (electrical circuits)Quantum systemCritical phenomenaQuantum many-body systemsQuantum Computing Algorithms and ArchitectureQuantum Information and Cryptography