English

High-fidelity copies from a symmetric 1 to 2 quantum cloning machine

Quantum Physics 2010-03-30 v3

Abstract

A symmetric 1 to 2 quantum cloning machine (QCM) is presented that provides high-fidelity copies with 0.90F0.950.90 \le F \le 0.95 for all pure (single-qubit) input states from a given meridian of the Bloch sphere. \cor{Emphasize is placed especially on the states of the (so-called) Eastern meridian, that includes the computational basis states \ketm0,\ketm1\ketm{0}, \ketm{1} together with the diagonal state \ketm+=12(\ketm0+\ketm1)\ketm{+} = \frac{1}{\sqrt{2}} (\ketm{0} + \ketm{1}), for which suggested cloning transformation is shown to be optimal.} In addition, we also show how this QCM can be utilized for eavesdropping in Bennett's B92 protocol for quantum key distribution with a substantial higher success rate than obtained for universal or equatorial quantum copying.

Keywords

Cite

@article{arxiv.0906.1453,
  title  = {High-fidelity copies from a symmetric 1 to 2 quantum cloning machine},
  author = {Michael Siomau and Stephan Fritzsche},
  journal= {arXiv preprint arXiv:0906.1453},
  year   = {2010}
}

Comments

2 figures, 20 references