Topological Protection and Quantum Noiseless Subsystems

Abstract

Encoding and manipulation of quantum information by means of topological degrees of freedom provides a promising way to achieve natural fault-tolerance that is built-in at the physical level. We show that this topological approach to quantum information processing is a particular instance of the notion of computation in a noiseless quantum subsystem. The latter then provide the most general conceptual framework for stabilizing quantum information and for preserving quantum coherence in topological and geometric systems.

4 Pages LaTeX. Published version

References in corpus (3)

• 1/2-Anyons in small atomic Bose-Einstein condensates
• Topologically protected quantum bits from Josephson junction arrays
• Almost any quantum spin system with short-range interactions can support toric codes

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