@inproceedings{994252452e9b4c9d96ab25c8125bd0c4,
title = "Quantum implemention of an LTI System with the minimal number of additional quantum noise inputs",
abstract = "Physical Realizability addresses the question of whether it is possible to implement a given LTI system as a quantum system. It is in general not true that a given synthesized quantum controller described by a set of stochastic differential equations is equivalent to some physically meaningful quantum system. However, if additional quantum noises are permitted in the implementation it is always possible to implement an arbitrary LTI system as a quantum system. In this paper we give an expression for the exact number of noises required to implement a given LTI system as a quantum system. Furthermore, we focus our attention on proving that this is a minimum, that is, it is not possible to implement the system as a quantum system with a smaller number of additional quantum noises.",
author = "Vuglar, {Shanon L.} and Petersen, {Ian R.}",
year = "2013",
doi = "10.23919/ecc.2013.6669508",
language = "English",
isbn = "9783033039629",
series = "2013 European Control Conference, ECC 2013",
publisher = "IEEE Computer Society",
pages = "2724--2727",
booktitle = "2013 European Control Conference, ECC 2013",
address = "United States",
note = "2013 12th European Control Conference, ECC 2013 ; Conference date: 17-07-2013 Through 19-07-2013",
}