Characterizing Contextuality via Rank Separation with Applications to Cloning

• URL: http://arxiv.org/abs/2406.19382v1
• Date: Thu, 27 Jun 2024 17:56:04 GMT
• Title: Characterizing Contextuality via Rank Separation with Applications to Cloning
• Authors: Farid Shahandeh, Theodoros Yianni, Mina Doosti,
• Abstract summary: Quantum contextuality is a key nonclassical feature essential for understanding advantages in quantum computation and communication. We introduce a new framework to study contextuality based solely on information processing statistics. We show that quantum contextuality provides the resource in optimal phase-covariant and universal cloning schemes.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum contextuality is a key nonclassical feature essential for understanding advantages in quantum computation and communication. We introduce a new framework to study contextuality based solely on information processing statistics. This simple and intuitive perspective leads to a powerful criterion denoted as rank separation for identifying contextuality in various quantum scenarios. We showcase the power of this technique through several applications, including a new derivation of Hardy's quantum excess-baggage theorem, and a simplified proof of contextuality for minimum error quantum state discrimination. Finally, we show as a prominent example that quantum contextuality provides the resource in optimal phase-covariant and universal cloning schemes, hence establishing it as a fundamental source of nonclassicality in all known optimal quantum cloning scenarios.

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