Robustness of Decoherence-Free Subspaces for Quantum Computation

Details Robustness of Decoherence-Free Subspaces for Quantum Computation Robustness of Decoherence-Free Subspaces for Quantum Computation

1999-02-10

arxiv.org/abs/quant-ph/9902041v2

Phys.Rev. A60 (1999) 1944

Physics

Quantum Physics

16 pages, no figures. Several changes, including a clarification of the derivation of the Lindblad equation from the operator

Scientific paper

10.1103/PhysRevA.60.1944

It was shown recently [D.A. Lidar et al., Phys. Rev. Lett. 81, 2594 (1998)] that within the framework of the semigroup Markovian master equation, decoherence-free (DF) subspaces exist which are stable to first order in time to a perturbation. Here this result is extended to the non-Markovian regime and generalized. In particular, it is shown that within both the semigroup and the non-Markovian operator sum representation, DF subspaces are stable to all orders in time to a symmetry-breaking perturbation. DF subspaces are thus ideal for quantum memory applications. For quantum computation, however, the stability result does not extend beyond the first order. Thus, to perform robust quantum computation in DF subspaces, they must be supplemented with quantum error correcting codes.

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