Quantum Conditional Probabilities and New Measures of Quantum Information

• URL: http://arxiv.org/abs/2109.07447v3
• Date: Thu, 8 Dec 2022 17:32:15 GMT
• Title: Quantum Conditional Probabilities and New Measures of Quantum Information
• Authors: Jacob A. Barandes and David Kagan
• Abstract summary: We use a novel form of quantum conditional probability to define new measures of quantum information in a dynamical context. We find new proofs of some standard results in quantum information theory, such as the concavity of von Neumann entropy. The existence of an underlying probability distribution helps shed light on the conceptual underpinnings of these results.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: We use a novel form of quantum conditional probability to define new measures of quantum information in a dynamical context. We explore relationships between our new quantities and standard measures of quantum information, such as von Neumann entropy. These quantities allow us to find new proofs of some standard results in quantum information theory, such as the concavity of von Neumann entropy and Holevo's theorem. The existence of an underlying probability distribution helps shed light on the conceptual underpinnings of these results.

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