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Trapped Ion Quantum Computing

Approximating relational observables by absolute quantities: A quantum accuracy-size trade-off

arXiv
Authors: Takayuki Miyadera, Leon Loveridge, Paul Busch

Year

2015

Paper ID

26829

Status

Preprint

Abstract Read

~2 min

Abstract Words

120

Citations

N/A

Abstract

The notion that any physical quantity is defined and measured relative to a reference frame is traditionally not explicitly reflected in the theoretical description of physical experiments where, instead, the relevant observables are typically represented as "absolute" quantities. However, the emergence of the resource theory of quantum reference frames as a new branch of quantum information science in recent years has highlighted the need to identify the physical conditions under which a quantum system can serve as a good reference. Here we investigate the conditions under which, in quantum theory, an account in terms of absolute quantities can provide a good approximation of relative quantities. We find that this requires the reference system to be large in a suitable sense.

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  • The notion that any physical quantity is defined and measured relative to a reference frame is traditionally not explicitly reflected in the theoretical description of physical...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1510.02063 [2] arXiv https://arxiv.org/abs/1510.02063 [3] Publisher https://arxiv.org/abs/1510.02063

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