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Title: The SLH framework for modeling quantum input-output networks

Abstract

Here, many emerging quantum technologies demand precise engineering and control over networks consisting of quantum mechanical degrees of freedom connected by propagating electromagnetic fields, or quantum input-output networks. Here we review recent progress in theory and experiment related to such quantum input-output networks, with a focus on the SLH framework, a powerful modeling framework for networked quantum systems that is naturally endowed with properties such as modularity and hierarchy. We begin by explaining the physical approximations required to represent any individual node of a network, e.g. atoms in cavity or a mechanical oscillator, and its coupling to quantum fields by an operator triple ( S,L,H). Then we explain how these nodes can be composed into a network with arbitrary connectivity, including coherent feedback channels, using algebraic rules, and how to derive the dynamics of network components and output fields. The second part of the review discusses several extensions to the basic SLH framework that expand its modeling capabilities, and the prospects for modeling integrated implementations of quantum input-output networks. In addition to summarizing major results and recent literature, we discuss the potential applications and limitations of the SLH framework and quantum input-output networks, with the intention of providing context tomore » a reader unfamiliar with the field.« less

Authors:
 [1];  [2];  [3];  [4];  [5]
  1. Univ. of Waterloo, Waterloo, ON (Canada)
  2. (Canada)
  3. (Australia)
  4. HRL Labs., LLC, Malibu, CA (United States)
  5. Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1510125
Alternate Identifier(s):
OSTI ID: 1444089
Report Number(s):
SAND-2018-5855J
Journal ID: ISSN 2374-6149; 663647; TRN: US1900968
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Published Article
Journal Name:
Advances in Physics: X
Additional Journal Information:
Journal Volume: 2; Journal Issue: 3; Journal ID: ISSN 2374-6149
Publisher:
Taylor & Francis
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; quantum information; quantum control; experimental modeling; analysis; quantum stochastic calculus

Citation Formats

Combes, Joshua, Perimeter Institute for Theoretical Physics, Waterloo, ON, Univ. of Queensland, Brisbane, QLD, Kerckhoff, Joseph, and Sarovar, Mohan. The SLH framework for modeling quantum input-output networks. United States: N. p., 2017. Web. doi:10.1080/23746149.2017.1343097.
Combes, Joshua, Perimeter Institute for Theoretical Physics, Waterloo, ON, Univ. of Queensland, Brisbane, QLD, Kerckhoff, Joseph, & Sarovar, Mohan. The SLH framework for modeling quantum input-output networks. United States. doi:10.1080/23746149.2017.1343097.
Combes, Joshua, Perimeter Institute for Theoretical Physics, Waterloo, ON, Univ. of Queensland, Brisbane, QLD, Kerckhoff, Joseph, and Sarovar, Mohan. Mon . "The SLH framework for modeling quantum input-output networks". United States. doi:10.1080/23746149.2017.1343097.
@article{osti_1510125,
title = {The SLH framework for modeling quantum input-output networks},
author = {Combes, Joshua and Perimeter Institute for Theoretical Physics, Waterloo, ON and Univ. of Queensland, Brisbane, QLD and Kerckhoff, Joseph and Sarovar, Mohan},
abstractNote = {Here, many emerging quantum technologies demand precise engineering and control over networks consisting of quantum mechanical degrees of freedom connected by propagating electromagnetic fields, or quantum input-output networks. Here we review recent progress in theory and experiment related to such quantum input-output networks, with a focus on the SLH framework, a powerful modeling framework for networked quantum systems that is naturally endowed with properties such as modularity and hierarchy. We begin by explaining the physical approximations required to represent any individual node of a network, e.g. atoms in cavity or a mechanical oscillator, and its coupling to quantum fields by an operator triple (S,L,H). Then we explain how these nodes can be composed into a network with arbitrary connectivity, including coherent feedback channels, using algebraic rules, and how to derive the dynamics of network components and output fields. The second part of the review discusses several extensions to the basic SLH framework that expand its modeling capabilities, and the prospects for modeling integrated implementations of quantum input-output networks. In addition to summarizing major results and recent literature, we discuss the potential applications and limitations of the SLH framework and quantum input-output networks, with the intention of providing context to a reader unfamiliar with the field.},
doi = {10.1080/23746149.2017.1343097},
journal = {Advances in Physics: X},
number = 3,
volume = 2,
place = {United States},
year = {2017},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
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DOI: 10.1080/23746149.2017.1343097

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