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Noiseless Quantum Codes Export

by: P. Zanardi, M. Rasetti
Physical Review Letters, Vol. 79, No. 17. (27 Oct 1997), pp. 3306-3309.

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decoherence quantum_code quantum-computation

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In this paper we study a model quantum register 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 R there exists a linear subspace C N which is dynamically decoupled from the environment. The states in C N evolve unitarily and are therefore decoherence-dissipation free. The space C N realizes a noiseless quantum code in which information can be stored; in principle; for an arbitrarily long time without being affected by errors.


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