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Open Quantum Systems Decoherence Quantum Simulation

The Jordan formulation of Quantum Mechanics: a review

arXiv
Authors: Paul K. Townsend

Year

2016

Paper ID

41534

Status

Preprint

Abstract Read

~2 min

Abstract Words

86

Citations

N/A

Abstract

This is a transcription of a conference proceedings from 1985. It reviews the Jordan algebra formulation of quantum mechanics. A possible novelty is the discussion of time evolution; the associator takes over the role of i times the commutator in the standard density matrix formulation, and for the Jordan algebra of complex Hermitian matrices this implies a Hamiltonian of the form H= i[x,y] + λmathbb{I} for traceless Hermitian x,y and real number λ. Other possibilities for time evolution in the Jordan formulation are briefly considered.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • This is a transcription of a conference proceedings from 1985.

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