## Generalization of the Hughston-Jozsa-Wootters Theorem to Hyperfinite von Neumann Algebras (2003)

by
Hans Halvorson

Citations: | 5 - 1 self |

### BibTeX

@MISC{Halvorson03generalizationof,

author = {Hans Halvorson},

title = {Generalization of the Hughston-Jozsa-Wootters Theorem to Hyperfinite von Neumann Algebras },

year = {2003}

}

### OpenURL

### Abstract

The Hughston-Jozsa-Wootters (HJW) theorem entails that any finite ensemble compatible with a given density operator can be prepared from a fixed initial state by operations on a spacelike separated system. In this paper, we generalize the HJW theorem to the case of arbitrary measures on the state space of a von Neumann algebra with hyperfinite commutant. In doing so, we also show that every POV measure with range in a hyperfinite von Neumann algebra induces a local, completely positive instrument.