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Contextuality, memory cost and non-classicality for sequential measurements.

Costantino Budroni1

  • 1Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, Boltzmanngasse 3, 1090 Vienna, Austria.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|September 17, 2019
PubMed
Summary
This summary is machine-generated.

Quantum contextuality, originating from the Kochen-Specker theorem, is explored for non-classical correlations. A new framework based on memory cost generalizes temporal correlations beyond contextuality and macrorealism.

Keywords:
quantum contextualitysequential measurementstemporal correlations

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Area of Science:

  • Quantum Information Theory
  • Foundations of Quantum Mechanics
  • Quantum Correlations

Background:

  • The Kochen-Specker theorem introduced quantum contextuality as a key concept.
  • Quantum contextuality is fundamental to understanding non-classical correlations in quantum systems.
  • Debates on experimental tests of Kochen-Specker contradictions spurred theoretical advancements.

Purpose of the Study:

  • To generalize the concept of non-classical temporal correlations.
  • To introduce a novel framework based on the 'memory cost' of generating correlations.
  • To extend beyond existing approaches like quantum contextuality and Leggett-Garg macrorealism.

Main Methods:

  • Analysis of sequential measurement approaches.
  • Development of a theoretical framework quantifying correlation generation cost.
  • Review of recent findings on memory costs in classical and quantum systems.

Main Results:

  • A generalized notion of non-classical temporal correlations is proposed.
  • The 'memory cost' provides a new metric for characterizing correlations.
  • Comparison of memory costs for generating temporal correlations in classical vs. quantum regimes.

Conclusions:

  • The memory cost framework offers a powerful tool for analyzing non-classical correlations.
  • This approach extends our understanding of quantum correlations beyond traditional contextuality.
  • The study contributes to the ongoing exploration of probability and contextuality in quantum mechanics.