A note on verification procedures for quantum noiseless subsystems

Abstract

We establish conditions under which the experimental verification of quantum error-correcting behavior against a linear set of error operators $\ce$ suffices for the verification of noiseless subsystems of an error algebra $\ca$ contained in $\ce$. From a practical standpoint, our results imply that the verification of a noiseless subsystem need not require the explicit verification of noiseless behavior for all possible initial states of the syndrome subsystem.

6 pages, no figures, REVTeX4 style

References in corpus (5)

• Implementation of the Five Qubit Error Correction Benchmark
• Implementation of Universal Control on a Decoherence-Free Qubit
• Constructing Qubits in Physical Systems
• Topological Protection and Quantum Noiseless Subsystems
• Exploring Noiseless Subsystems via Nuclear Magnetic Resonance

Cited by in corpus (5)

• Dynamical decoupling for superconducting qubits: a performance survey
• Information preserving structures: A general framework for quantum zero-error information
• Theory of Initialization-Free Decoherence-Free Subspaces and Subsystems
• Quantum Information Encoding, Protection, and Correction from Trace-Norm Isometries
• Subsystem Pseudo-pure States