Noiseless Quantum Codes

P. Zanardi and M. Rasetti
Phys. Rev. Lett. 79, 3306 – Published 27 October 1997
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Abstract

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 CN which is dynamically decoupled from the environment. The states in CN evolve unitarily and are therefore decoherence-dissipation free. The space CN realizes a noiseless quantum code in which information can be stored, in principle, for an arbitrarily long time without being affected by errors.

  • Received 5 December 1996

DOI:https://doi.org/10.1103/PhysRevLett.79.3306

©1997 American Physical Society

Authors & Affiliations

P. Zanardi1,2 and M. Rasetti2,3

  • 1ISI Institute for Scientific Interchange Foundation, Villa Gualino, Viale Settimio Severo 65, I-10131 Torino, Italy
  • 2Unità INFM, Politecnico di Torino, Italy
  • 3Dipartimento di Fisica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy

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Vol. 79, Iss. 17 — 27 October 1997

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