Noiseless Quantum Codes

الأصل · EN

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 arbitrarily long time without being affected by errors.