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Quantum Algorithms

Contradictory entropic joint uncertainty relations for complementary observables in two-level systems

arXiv
Authors: Alfredo Luis

Year

2013

Paper ID

8434

Status

Preprint

Abstract Read

~2 min

Abstract Words

53

Citations

N/A

Abstract

We show that different entropic measures of fluctuations lead to contradictory uncertainty relations for two complementary observables. We apply Tsallis and Rényi entropies to the joint distribution emerging from a noisy simultaneous measurement of both observables as well as to the product of their individual statistics, either intrinsic or of operational origin.

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  • It adds a 2013 reference point for readers tracking recent quantum research.
  • We show that different entropic measures of fluctuations lead to contradictory uncertainty relations for two complementary observables.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1306.5211 [2] arXiv https://arxiv.org/abs/1306.5211 [3] Publisher https://arxiv.org/abs/1306.5211

Local Citation Graph (Related-Paper Links)

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