Pseudo-unitary freedom in the operator-sum representation

Yong-Cheng Ou; Mark Byrd

Pseudo-unitary freedom in the operator-sum representation

ORAL

Abstract

A general dynamical map can be written in an operator-sum representation (OSR) by using a spectral decomposition, which needs not be completely positive. The OSR is not unique; there is freedom to choose a different set of operators in the OSR, yet still obtain the same map. We will show that, whereas the freedom for completely positive maps is unitary, the freedom for not completely positive maps is pseudo-unitary.

March 22, 2011, 2:03 PM – March 22, 2011, 2:15 PM

Authors

Yong-Cheng Ou

Department of Physics, Texas Tech University, Department of Chemistry, Texas Tech University, Lubbock, Texas 79409, Physics Department, Southern Illinois University
Mark Byrd

Southern Illinois University Carbondale, Department of Physics, Southern Illinois University Carbondale, Department of Physics and Department of Computer Science, Southern Illinois University, Carbondale, Illinois 62901, Southern Illinois University