Decodable hybrid dynamics of open quantum systems with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math> symmetry
Yaodong Li, Matthew P. A. Fisher
Abstract
Within a toy model of open quantum systems, this work discusses the relation between measurement-induced phase transitions (MIPTs) of quantum entanglement and quantum error correction (QEC), which also has a phase transition at an ``error threshold''. In particular, the authors show how concepts from QEC can facilitate the observation of MIPTs and, conversely, how insights from MIPTs can inform the design of decoding algorithms.
Topics & Concepts
QubitQuantum decoherencePhysicsQuantum mechanicsPauli exclusion principleQuantum computerLindblad equationQuantumAlgorithmMathematicsMaster equationQuantum many-body systemsQuantum Computing Algorithms and ArchitectureQuantum Information and Cryptography