Quantum filter for a class of non-Markovian quantum systems

Shibei Xue; Matthew James; Alireza Shabani; Valery A Ugrinovskii; Ian Petersen

Quantum filter for a class of non-Markovian quantum systems

Shibei Xue, Matthew James, Alireza Shabani, Valery A Ugrinovskii, Ian Petersen

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

Abstract

In this paper we present a Markovian representation approach to constructing quantum filters for a class of non-Markovian quantum systems disturbed by Lorentzian noise. An ancillary system is introduced to convert white noise into Lorentzian noise which is injected into a principal system via a direct interaction. The resulting dynamics of the principal system are non-Markovian, which are driven by the Lorentzian noise. By probing the principal system, a quantum filter for the augmented system can be derived from standard theory, where the conditional state of the principal system can be obtained by tracing out the ancillary system.

Original language	English
Title of host publication	54th IEEE Conference on Decision and Control (CDC)
Editors	C J Christopher and A Grastien
Place of Publication	Online
Publisher	IEEE
Pages	7096-7100pp
Edition	Peer Reviewed
ISBN (Print)	9781479978861
Publication status	Published - 2015
Event	54th Conference on Decision and Control, CDC 2015 - Osaka, Japan Duration: 1 Jan 2015 → …

Conference

Conference	54th Conference on Decision and Control, CDC 2015
Period	1/01/15 → …
Other	December 15-18 2015

Cite this

@inproceedings{7d17228e06df467d8e9a4eda0ccc5c84,

title = "Quantum filter for a class of non-Markovian quantum systems",

abstract = "In this paper we present a Markovian representation approach to constructing quantum filters for a class of non-Markovian quantum systems disturbed by Lorentzian noise. An ancillary system is introduced to convert white noise into Lorentzian noise which is injected into a principal system via a direct interaction. The resulting dynamics of the principal system are non-Markovian, which are driven by the Lorentzian noise. By probing the principal system, a quantum filter for the augmented system can be derived from standard theory, where the conditional state of the principal system can be obtained by tracing out the ancillary system.",

author = "Shibei Xue and Matthew James and Alireza Shabani and Ugrinovskii, \{Valery A\} and Ian Petersen",

year = "2015",

language = "English",

isbn = "9781479978861",

pages = "7096--7100pp",

editor = "\{C J Christopher and A Grastien\}",

booktitle = "54th IEEE Conference on Decision and Control (CDC)",

publisher = "IEEE",

edition = "Peer Reviewed",

note = "54th Conference on Decision and Control, CDC 2015 ; Conference date: 01-01-2015",

}

TY - GEN

T1 - Quantum filter for a class of non-Markovian quantum systems

AU - Xue, Shibei

AU - James, Matthew

AU - Shabani, Alireza

AU - Ugrinovskii, Valery A

AU - Petersen, Ian

PY - 2015

Y1 - 2015

N2 - In this paper we present a Markovian representation approach to constructing quantum filters for a class of non-Markovian quantum systems disturbed by Lorentzian noise. An ancillary system is introduced to convert white noise into Lorentzian noise which is injected into a principal system via a direct interaction. The resulting dynamics of the principal system are non-Markovian, which are driven by the Lorentzian noise. By probing the principal system, a quantum filter for the augmented system can be derived from standard theory, where the conditional state of the principal system can be obtained by tracing out the ancillary system.

AB - In this paper we present a Markovian representation approach to constructing quantum filters for a class of non-Markovian quantum systems disturbed by Lorentzian noise. An ancillary system is introduced to convert white noise into Lorentzian noise which is injected into a principal system via a direct interaction. The resulting dynamics of the principal system are non-Markovian, which are driven by the Lorentzian noise. By probing the principal system, a quantum filter for the augmented system can be derived from standard theory, where the conditional state of the principal system can be obtained by tracing out the ancillary system.

M3 - Conference Paper

SN - 9781479978861

SP - 7096

EP - 7100

BT - 54th IEEE Conference on Decision and Control (CDC)

A2 - null, C J Christopher and A Grastien

PB - IEEE

CY - Online

T2 - 54th Conference on Decision and Control, CDC 2015

Y2 - 1 January 2015

ER -