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(Hypothetical) Negative Probabilities Can Speed Up Uncertainty Propagation Algorithms

  • Andrzej Pownuk
  • Vladik Kreinovich
Chapter
Part of the Studies in Big Data book series (SBD, volume 33)

Abstract

One of the main features of quantum physics is that, as basic objects describing uncertainty, instead of (non-negative) probabilities and probability density functions, we have complex-valued probability amplitudes and wave functions. In particular, in quantum computing, negative amplitudes are actively used. In the current quantum theories, the actual probabilities are always non-negative. However, there have been some speculations about the possibility of actually negative probabilities. In this paper, we show that such hypothetical negative probabilities can lead to a drastic speed up of uncertainty propagation algorithms.

Notes

Acknowledgements

This work was supported in part:

\(\bullet \) by the National Science Foundation grants

\(\quad \bullet \) HRD-0734825 and HRD-1242122 (Cyber-ShARE Center of Excellence) and

\(\quad \bullet \) DUE-0926721, and

\(\bullet \) by the award “UTEP and Prudential Actuarial Science Academy and Pipeline Initiative” from Prudential Foundation.

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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Computational Science ProgramUniversity of Texas at El PasoEl PasoUSA

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