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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

Quaternion representation and symplectic spin tomography

arXiv
Authors: Aleksey Fedorov, Evgeny Kiktenko

Year

2013

Paper ID

32991

Status

Preprint

Abstract Read

~2 min

Abstract Words

95

Citations

N/A

Abstract

Quantum tomography for continuous variables is based on the symplectic transformation group acting in the phase space. A particular case of symplectic tomography is optical tomography related to the action of a special orthogonal group. In the tomographic description of spin states, the connection between special unitary and special orthogonal groups is used. We analyze the representation for spin tomography using the Cayley-Klein parameters and discuss an analog of symplectic tomography for discrete variables. We propose a representation for tomograms of discrete variables through quaternions and employ the qubit-state tomogram to illustrate the method elaborated.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2013 reference point for readers tracking recent quantum research.
  • Quantum tomography for continuous variables is based on the symplectic transformation group acting in the phase space.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1308.6549 [2] arXiv https://arxiv.org/abs/1308.6549 [3] Publisher https://arxiv.org/abs/1308.6549

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