Passive interferometric symmetries of multimode Gaussian pure states

Gabay, N and Menicucci, N 2016, 'Passive interferometric symmetries of multimode Gaussian pure states', Physical Review A - Atomic, Molecular, and Optical Physics, vol. 93, no. 5, 52326, pp. 1-11.


Document type: Journal Article
Collection: Journal Articles

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Title Passive interferometric symmetries of multimode Gaussian pure states
Author(s) Gabay, N
Menicucci, N
Year 2016
Journal name Physical Review A - Atomic, Molecular, and Optical Physics
Volume number 93
Issue number 5
Article Number 52326
Start page 1
End page 11
Total pages 11
Publisher American Physical Society
Abstract As large-scale multimode Gaussian states begin to become accessible in the laboratory, their representation and analysis become a useful topic of research in their own right. The graphical calculus for Gaussian pure states provides powerful tools for their representation, while this work presents a useful tool for their analysis: passive interferometric (i.e., number-conserving) symmetries. Here we show that these symmetries of multimode Gaussian states simplify calculations in measurement-based quantum computing and provide constructive tools for engineering large-scale harmonic systems with specific physical properties, and we provide a general mathematical framework for deriving them. Such symmetries are generated by linear combinations of operators expressed in the Schwinger representation of U(2), called nullifiers because the Gaussian state in question is a zero eigenstate of them. This general framework is shown to have applications in the noise analysis of continuous-various cluster states and is expected to have additional applications in future work with large-scale multimode Gaussian states.
Subject Mathematical Sciences not elsewhere classified
DOI - identifier 10.1103/PhysRevA.93.052326
Copyright notice © 2016 American Physical Society
ISSN 1050-2947
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