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Quantum Algorithms

A quantitative theory of coherent delocalization

arXiv
Authors: Federico Levi, Florian Mintert

Year

2013

Paper ID

31239

Status

Preprint

Abstract Read

~2 min

Abstract Words

65

Citations

N/A

Abstract

We define a quantitative measure of coherent delocalization; similarly to the concept of entanglement measures, we require that a measure of coherent delocalization may never increase under processes that do not create coherent superpositions. After a complete characterization of such processes, we prove that a set of recently introduced functions that characterize coherent delocalization never grow under such processes and thus are indeed valid measures.

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  • We define a quantitative measure of coherent delocalization; similarly to the concept of entanglement measures, we require that a measure of coherent delocalization may never...

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