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Trapped Ion Quantum Computing Quantum Foundations

A time-dependent Tsirelson's bound from limits on the rate of information gain in quantum systems

arXiv
Authors: Andrew C. Doherty, Stephanie Wehner

Year

2011

Paper ID

8862

Status

Preprint

Abstract Read

~2 min

Abstract Words

124

Citations

N/A

Abstract

We consider the problem of distinguishing between a set of arbitrary quantum states in a setting in which the time available to perform the measurement is limited. We provide simple upper bounds on how well we can perform state discrimination in a given time as a function of either the average energy or the range of energies available during the measurement. We exhibit a specific strategy that nearly attains this bound. Finally, we consider several applications of our result. First, we obtain a time-dependent Tsirelson's bound that limits the extent of the Bell inequality violation that can be in principle be demonstrated in a given time t. Second, we obtain a Margolus-Levitin type bound when considering the special case of distinguishing orthogonal pure states.

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  • This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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  • We consider the problem of distinguishing between a set of arbitrary quantum states in a setting in which the time available to perform the measurement is limited.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1105.2268 [2] arXiv https://arxiv.org/abs/1105.2268 [3] Publisher https://arxiv.org/abs/1105.2268

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