Noiseless Quantum Codes

1997/05/31 by P. Zanardi, M. Rasetti · 3 citations
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physrevlett.79.3306

published as Phys.Rev.Lett.79:3306-3309,1997 · Revised version (to make it accessible to a broader readership) to appear on PRL (4 pages, REVTEX)

arxiv created 1997/09/05 · arxiv updated 2009/12/01

Abstract

In this paper we study a model quantum register \cal R made of N replicas (cells) of a given finite-dimensional quantum system S. Assuming that all cells are coupled with a common environment with equal strength we show that, for N large enough, in the Hilbert space of \cal R there exists a linear subspace \cal C_N which is dynamically decoupled from the environment. The states in \cal C_N evolve unitarily and are therefore decoherence-dissipation free. The space \cal C_N realizes a noiseless quantum code in which information can be stored, in principle, for arbitrarily long time without being affected by errors.

Cited by

• Superradiance in dense atomic samples
• Non-normality and dissipation in Markovian quantum dynamics: Implications for quantum simulation
• Resource Reduction in Multiparty Quantum Secret Sharing of both Classical and Quantum Information under Noisy Scenario