The SLH framework for modeling quantum inputoutput networks
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 inputoutput networks. Here we review recent progress in theory and experiment related to such quantum inputoutput 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 inputoutput networks. In addition to summarizing major results and recent literature, we discuss the potential applications and limitations of the SLH framework and quantum inputoutput networks, with the intention of providing context tomore »
 Authors:

^{[1]};
^{[2]};
^{[3]}
 Univ. of Waterloo, Waterloo, ON (Canada); Perimeter Institute for Theoretical Physics, Waterloo, ON (Canada); Univ. of Queensland, Brisbane, QLD (Australia)
 HRL Labs., LLC, Malibu, CA (United States)
 Sandia National Lab. (SNLCA), Livermore, CA (United States)
 Publication Date:
 Report Number(s):
 SAND20185855J
Journal ID: ISSN 23746149; 663647
 Grant/Contract Number:
 AC0494AL85000
 Type:
 Accepted Manuscript
 Journal Name:
 Advances in Physics: X
 Additional Journal Information:
 Journal Volume: 2; Journal Issue: 3; Journal ID: ISSN 23746149
 Publisher:
 Taylor & Francis
 Research Org:
 Sandia National Lab. (SNLCA), Livermore, CA (United States)
 Sponsoring Org:
 USDOE National Nuclear Security Administration (NNSA)
 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
 OSTI Identifier:
 1444089
Combes, Joshua, Kerckhoff, Joseph, and Sarovar, Mohan. The SLH framework for modeling quantum inputoutput networks. United States: N. p.,
Web. doi:10.1080/23746149.2017.1343097.
Combes, Joshua, Kerckhoff, Joseph, & Sarovar, Mohan. The SLH framework for modeling quantum inputoutput networks. United States. doi:10.1080/23746149.2017.1343097.
Combes, Joshua, Kerckhoff, Joseph, and Sarovar, Mohan. 2017.
"The SLH framework for modeling quantum inputoutput networks". United States.
doi:10.1080/23746149.2017.1343097. https://www.osti.gov/servlets/purl/1444089.
@article{osti_1444089,
title = {The SLH framework for modeling quantum inputoutput networks},
author = {Combes, Joshua 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 inputoutput networks. Here we review recent progress in theory and experiment related to such quantum inputoutput 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 inputoutput networks. In addition to summarizing major results and recent literature, we discuss the potential applications and limitations of the SLH framework and quantum inputoutput 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}
}