Barandes, Jacob A. and Kagan, David (2021) Quantum Conditional Probabilities and New Measures of Quantum Information. [Preprint]
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Text (Preprint)
Barandes, Kagan= Quantum Conditional Probabilities and New Measures of Quantum Information.pdf - Draft Version Download (227kB) | Preview |
Official URL: https://arxiv.org/abs/2109.07447
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 | |||||||||
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| 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 |
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| 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 |
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| Date: | 15 September 2021 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/19747 |
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