English

Discrete phase space and minimum-uncertainty states

Quantum Physics 2007-05-23 v1

Abstract

The quantum state of a system of qubits can be represented by a Wigner function on a discrete phase space, each axis of the phase space taking values in a finite field. Within this framework, we show that one can make sense of the notion of a "rotationally invariant state" of any collection of qubits, and that any such state is, in a well defined sense, a state of minimum uncertainty.

Keywords

Cite

@article{arxiv.0704.1277,
  title  = {Discrete phase space and minimum-uncertainty states},
  author = {William K. Wootters and Daniel M. Sussman},
  journal= {arXiv preprint arXiv:0704.1277},
  year   = {2007}
}

Comments

Submitted to the proceedings of QCMC06