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 to amore »
- Authors:
-
- Department of Applied Mathematics, Institute for Quantum Computing, University of Waterloo, Waterloo, Canada., Perimeter Institute for Theoretical Physics, Waterloo, Canada., Centre for Engineered Quantum Systems, School of Mathematics and Physics, University of Queensland, Brisbane, Australia.
- HRL Laboratories, LLC, Malibu, CA, USA.
- Digital &, Quantum Information Systems, Sandia National Laboratories, Livermore, CA, USA.
- 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; 14
- Grant/Contract Number:
- AC04-94AL85000
- Resource Type:
- Published Article
- Journal Name:
- Advances in Physics: X
- Additional Journal Information:
- Journal Name: Advances in Physics: X Journal Volume: 2 Journal Issue: 3; Journal ID: ISSN 2374-6149
- Publisher:
- Informa UK Limited
- Country of Publication:
- United Kingdom
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; quantum information; quantum control; experimental modeling; analysis; quantum stochastic calculus
Citation Formats
Combes, Joshua, Kerckhoff, Joseph, and Sarovar, Mohan. The SLH framework for modeling quantum input-output networks. United Kingdom: N. p., 2017.
Web. doi:10.1080/23746149.2017.1343097.
Combes, Joshua, Kerckhoff, Joseph, & Sarovar, Mohan. The SLH framework for modeling quantum input-output networks. United Kingdom. https://doi.org/10.1080/23746149.2017.1343097
Combes, Joshua, Kerckhoff, Joseph, and Sarovar, Mohan. Mon .
"The SLH framework for modeling quantum input-output networks". United Kingdom. https://doi.org/10.1080/23746149.2017.1343097.
@article{osti_1510125,
title = {The SLH framework for modeling quantum input-output 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 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 Kingdom},
year = {Mon May 08 00:00:00 EDT 2017},
month = {Mon May 08 00:00:00 EDT 2017}
}
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Works referencing / citing this record:
Qubit models of weak continuous measurements: markovian conditional and open-system dynamics
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- Gross, Jonathan A.; Caves, Carlton M.; Milburn, Gerard J.
- Quantum Science and Technology, Vol. 3, Issue 2