Measurement-induced phase transitions in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo>(</mml:mo><mml:mi>d</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>-dimensional stabilizer circuits
Piotr Sierant, Marco Schirò, Maciej Lewenstein, Xhek Turkeshi
Abstract
The interplay between unitary dynamics and local quantum measurements results in unconventional nonunitary dynamical phases and transitions. In this paper we investigate the dynamics of $(d+1)$-dimensional hybrid stabilizer circuits, for $d=1,2,3$. We characterize the measurement-induced phases and their transitions using large-scale numerical simulations focusing on entanglement measures, purification dynamics, and wave-function structure. Our findings demonstrate the measurement-induced transition in $(d+1)$ spatiotemporal dimensions is conformal and has critical properties close to the percolation transition in $(d+1)$ spatial dimensions.
Topics & Concepts
Percolation (cognitive psychology)Unitary statePhysicsPhase transitionAlgorithmScale (ratio)Statistical physicsComputer scienceCondensed matter physicsQuantum mechanicsNeuroscienceBiologyPolitical scienceLawQuantum Computing Algorithms and ArchitectureQuantum and electron transport phenomenaQuantum Information and Cryptography