On decoherence in quantum algorithm via dynamic models for quantum measurement

Details On decoherence in quantum algorithm via dynamic models for quantum measurement On decoherence in quantum algorithm via dynamic models for quantum measurement

1998-02-11

arxiv.org/abs/quant-ph/9802029v2

Physics

Quantum Physics

12 pages, Revtex

Scientific paper

The possible effect of environment on the efficiency of a quantum algorithm is considered explicitely. It is illustrated through the example of Shor's prime factorization algorithm that this effect may be disastrous. The influence of environment on quantum computation is probed on the basis of its analogy to the problem of wave function collapse in quantum measurement.Techniques from the Hepp-Colemen approach and its generalization are used to deal with decoherence problems in quantum computation including dynamic mechanism of decoherence, quantum error avoiding tricks and calculation of decoherence time.

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