Six-qubit permutation-based decoherence-free orthogonal basis

Details Six-qubit permutation-based decoherence-free orthogonal basis Six-qubit permutation-based decoherence-free orthogonal basis

2007-02-12

arxiv.org/abs/quant-ph/0702118v1

Phys. Rev. A 75 (2007) 020301(R)

Physics

Quantum Physics

REVTeX4, 5 pages

Scientific paper

10.1103/PhysRevA.75.020301

There is a natural orthogonal basis of the 6-qubit decoherence-free (DF) space robust against collective noise. Interestingly, most of the basis states can be obtained from one another just permuting qubits. This property: (a) is useful for encoding qubits in DF subspaces, (b) allows the implementation of the Bennett-Brassard 1984 (BB84) protocol in DF subspaces just permuting qubits, which completes a the method for quantum key distribution using DF states proposed by Boileau et al. [Phys. Rev. Lett. 92, 017901 (2004)], and (c) points out that there is only one 6-qubit DF state which is essentially new (not obtained by permutations) and therefore constitutes an interesting experimental challenge.

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