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Interaction with the Environment ( Decoherence ) These errors can be further classified as coherent or incoherent errors. For every Shor-type code, the codes we present give a considerable savings in the number of stabilizer measurements needed in their error recovery routines. There are mainly three sources of errors in quantum computation. These codes are the subsystem versions of the quantum error correcting subspace codes which are generalizations of Shor’s original quantum error correcting subspace codes. Here we present a class of quantum error correcting subsystem codes constructed from two classical linear codes. Relying on the universality of quantum mechanics and on recent results known as the threshold theorems, quantum information scientists deem the question. The dashed line is the case of a single computation without replication the lightest curve is for the same computation repeated on three computers and the darkest curve is for the same computation repeated on 13 computers.
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These new quantum error correcting subsystem codes differ from subspace codes in that their quantum correcting routines can be considerably simpler than related subspace codes. Probability that the majority vote is correct based on the probability of a single independent computation being correct. Recently it was realized that, since the most general method for encoding quantum information is to encode it into a subsystem, there exists a novel form of quantum error correction beyond the traditional quantum error correcting subspace codes. Abstract The essential insight of quantum error correction was that quantum information can be protected by suitably encoding this quantum information across multiple independently erred quantum systems.