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Solution to time-energy costs of quantum channels

Quantum Physics 2015-03-03 v2

Abstract

We derive a formula for the time-energy costs of general quantum channels proposed in [Phys. Rev. A 88, 012307 (2013)]. This formula allows us to numerically find the time-energy cost of any quantum channel using positive semidefinite programming. We also derive a lower bound to the time-energy cost for any channels and the exact the time-energy cost for a class of channels which includes the qudit depolarizing channels and projector channels as special cases.

Keywords

Cite

@article{arxiv.1404.4134,
  title  = {Solution to time-energy costs of quantum channels},
  author = {Chi-Hang Fred Fung and H. F. Chau and Chi-Kwong Li and Nung-Sing Sze},
  journal= {arXiv preprint arXiv:1404.4134},
  year   = {2015}
}

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9 pages