Integral formula for quantum relative entropy implies data processing inequality
Integral representations of quantum relative entropy, and of the directional second and higher order derivatives of von Neumann entropy, are established, and used to give simple proofs of fundamental, known data processing inequalities: the Holevo bound on the quantity of information transmitted by...
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Format: | Article |
Language: | English |
Published: |
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2023-09-01
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Series: | Quantum |
Online Access: | https://quantum-journal.org/papers/q-2023-09-07-1102/pdf/ |