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Title: The SLH framework for modeling quantum input-output 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 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
 [1] ;  [2] ;  [3]
  1. Univ. of Waterloo, Waterloo, ON (Canada); Perimeter Institute for Theoretical Physics, Waterloo, ON (Canada); Univ. of Queensland, Brisbane, QLD (Australia)
  2. HRL Labs., LLC, Malibu, CA (United States)
  3. Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Publication Date:
Report Number(s):
Journal ID: ISSN 2374-6149; 663647
Grant/Contract Number:
Accepted Manuscript
Journal Name:
Advances in Physics: X
Additional Journal Information:
Journal Volume: 2; Journal Issue: 3; Journal ID: ISSN 2374-6149
Taylor & Francis
Research Org:
Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Sponsoring Org:
USDOE National Nuclear Security Administration (NNSA)
Country of Publication:
United States
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; quantum information; quantum control; experimental modeling; analysis; quantum stochastic calculus
OSTI Identifier: