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Trapped Ion Quantum Computing

Note: Nonuniqueness of generalized quantum master equations for a single observable

arXiv

Authors: Nathan Ng, David T. Limmer, Eran Rabani

Year

2021

Paper ID

62115

Status

Preprint

Abstract Read

~2 min

Abstract Words

117

Citations

N/A

Abstract

When deriving exact generalized master equations for the evolution of a reduced set of degrees of freedom, one is free to choose what quantities are relevant by specifying projection operators. However, obtaining a reduced description does not always need to be achieved through projections--one can also use conservation laws for this purpose. Such an operation should be considered as distinct from any kind of projection; that is, projection onto a single observable yields a different form of master equation compared to that resulting from a projection followed by the application of a constraint. We give a simple example to show this point and give relationships that the different memory kernels must satisfy to yield the same dynamics.

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This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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When deriving exact generalized master equations for the evolution of a reduced set of degrees of freedom, one is free to choose what quantities are relevant by specifying...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2108.10937 [2] arXiv https://arxiv.org/abs/2108.10937 [3] Publisher https://arxiv.org/abs/2108.10937

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