English

Quantum comparison machines with one-sided error

Quantum Physics 2007-05-23 v2

Abstract

It is always possible to decide, with one-sided error, whether two quantum states are the same under a specific unitary transformation. However we show here that it is {\em impossible} to do so if the transformation is anti-linear and non-singular. This result implies that unitary and anti-unitary operations exist on an unequal footing in quantum information theory.

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Cite

@article{arxiv.quant-ph/0207060,
  title  = {Quantum comparison machines with one-sided error},
  author = {Chiu Fan Lee and Neil F. Johnson},
  journal= {arXiv preprint arXiv:quant-ph/0207060},
  year   = {2007}
}

Comments

5 pages, no figures