Hamiltonian Formulation of Quantum Error Correction and Correlated Noise

@article{Novais2007HamiltonianFO,
  title={Hamiltonian Formulation of Quantum Error Correction and Correlated Noise},
  author={E. Novais and E. Mucciolo and H. Baranger},
  journal={ArXiv},
  year={2007},
  volume={abs/0710.1624}
}
We analyze the long time behavior of a quantum computer running a quantum error correction (QEC) code in the presence of a correlated environment. Starting from a Hamiltonian formulation of realistic noise models, and assuming that QEC is indeed possible, we find formal expre ssions for the probability of a given syndrome history and the associated residual decoherence encoded in the reduced density matrix. Systems with non-zero gate times (“long gates”) are included in our analysis by using an… Expand
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