Decoherence in quantum Markov chains

作者:Medeiros Santos Raqueline Azevedo; Portugal Renato; Fragoso Marcelo Dutra
来源:Quantum Information Processing, 2014, 13(2): 559-572.
DOI:10.1007/s11128-013-0672-z

摘要

It is known that under some assumptions, the hitting time in quantum Markov chains is quadratically smaller than the hitting time in classical Markov chains. This work extends this result for decoherent quantum Markov chains. The decoherence is introduced using a percolation-like graph model, which allows us to define a decoherent quantum hitting time and to establish a decoherent-intensity range for which the decoherent quantum hitting time is quadratically smaller than the classical hitting time. The detection problem under decoherence is also solved with quadratic speedup in this range.

  • 出版日期2014-2