English

Implementation of quantum maps by programmable quantum processors

Quantum Physics 2009-11-07 v1

Abstract

A quantum processor is a device with a data register and a program register. The input to the program register determines the operation, which is a completely positive linear map, that will be performed on the state in the data register. We develop a mathematical description for these devices, and apply it to several different examples of processors. The problem of finding a processor that will be able to implement a given set of mappings is also examined, and it is shown that while it is possible to design a finite processor to realize the phase-damping channel, it is not possible to do so for the amplitude-damping channel.

Keywords

Cite

@article{arxiv.quant-ph/0205050,
  title  = {Implementation of quantum maps by programmable quantum processors},
  author = {Mark Hillery and Mario Ziman and Vladimir Buzek},
  journal= {arXiv preprint arXiv:quant-ph/0205050},
  year   = {2009}
}

Comments

10 revtex pages, no figures