Statistical mechanics of quantum error correcting codes
Yaodong Li, Matthew P. A. Fisher
Abstract
Random quantum dynamics generates quantum error correcting codes that are robust against observers and errors. Here, the authors describe a simple physical picture of such codes, mapping characteristic code properties to the statistical mechanics of fluctuating ``entanglement domain walls''. The error correcting criterion is understood as a decoupling condition of domain walls, which leads to a universal scaling law of the ``code distance''.
Topics & Concepts
Quantum entanglementStatistical physicsMathematicsQuantum mechanicsAlgorithmComputer scienceQuantumPhysicsQuantum Computing Algorithms and ArchitectureQuantum many-body systemsQuantum Information and Cryptography