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Quantum Conditional Probabilities and New Measures of Quantum Information

Barandes, Jacob A. and Kagan, David (2021) Quantum Conditional Probabilities and New Measures of Quantum Information. [Preprint]

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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 to shed some light on the conceptual underpinnings of these results.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Barandes, Jacob A.barandes@g.harvard.edu0000-0002-3740-4418
Kagan, David
Keywords: quantum mechanics, quantum theory, interpretations of quantum theory, modal interpretations, quantum information, entropy
Subjects: Specific Sciences > Computation/Information
Specific Sciences > Computation/Information > Quantum
Specific Sciences > Physics
Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr. Jacob Barandes
Date Deposited: 26 Oct 2021 04:11
Last Modified: 26 Oct 2021 04:11
Item ID: 19747
Official URL: https://arxiv.org/abs/2109.07447
Subjects: Specific Sciences > Computation/Information
Specific Sciences > Computation/Information > Quantum
Specific Sciences > Physics
Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
Date: 15 September 2021
URI: http://philsci-archive.pitt.edu/id/eprint/19747

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