Resources needed for non-unitary quantum operations
Quantum Physics
2014-04-25 v1
Abstract
Non-unitary operations generated by an effective non-Hermitian Hamiltonian can be used to create quantum state manipulations which are impossible in Hermitian quantum mechanics. These operations include state preparation (or cooling) and non-orthogonal state discrimination. In this work we put a lower bound on the resources needed for the construction of some given non-unitary evolution. Passive systems are studied in detail and a general feature of such a system is derived. After interpreting our results using the singular value decomposition, several examples are studied analytically. In particular, we put a lower bound on the resources needed for non-Hermitian state preparation and non-orthogonal state discrimination.
Keywords
Cite
@article{arxiv.1212.4584,
title = {Resources needed for non-unitary quantum operations},
author = {Raam Uzdin},
journal= {arXiv preprint arXiv:1212.4584},
year = {2014}
}