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Open Quantum Systems Decoherence Quantum Simulation

Study on a Spinorial Representation of Linear Canonical Transformations

arXiv

Authors: Raoelina Andriambololona, Ravo Tokiniaina Ranaivoson, Hanitriarivo Rakotoson

Year

2017

Paper ID

25114

Status

Preprint

Abstract Read

~2 min

Abstract Words

100

Citations

N/A

Abstract

This work is a continuation of our previous works concerning linear canonical transformations and phase space representation of quantum theory. It is mainly focused on the description of an approach which allows to establish spinorial representation of linear canonical transformations. This description is started with the presentation of a suitable parameterization of linear canonical transformations which permits to represent them with special pseudo-orthogonal transformations in an operator space. Then the establishment of the spinorial representation is deduced using the well-known relation existing between special pseudo-orthogonal and spin groups. The cases of one dimension and general multidimensional theory are both studied.

Why This Paper Matters

This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
It adds a 2017 reference point for readers tracking recent quantum research.
This work is a continuation of our previous works concerning linear canonical transformations and phase space representation of quantum theory.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1711.04975 [2] arXiv https://arxiv.org/abs/1711.04975 [3] Publisher https://arxiv.org/abs/1711.04975

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