Quantum Renyi Entropy Power and Its Inequalities
Quantum Rényi entropies and entropy power inequalities: definitions, relations to von Neumann entropy and uses in communication.
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739 articlesQuantum Rényi entropies and entropy power inequalities: definitions, relations to von Neumann entropy and uses in communication.
Smooth entropies allow a small error and give tight bounds for finite numbers of signals, which makes them central to QKD security proofs.
Max-entropy is the partner of min-entropy. Its definition and operational meaning in data compression and quantum information processing.
Min-entropy measures the maximum probability of guessing a value. How its quantum version sets how much randomness can be extracted.
Quantum Rényi divergences form families, such as Petz and sandwiched, that generalize relative entropy. Properties and uses in security proofs.
Distinguishability measures for quantum states compared: trace distance, fidelity, relative entropy and others, with their uses.
The quantum information bottleneck method compresses data while keeping the information relevant to a task. Ideas, uses and research directions.
The capacity region of a quantum network describes which combinations of rates are achievable at once. Channels, constraints and protocols.
How quantum information moves through a circuit: encoding, gates, entanglement, measurement and the limits information theory places on it.
How information and thermodynamics meet in quantum systems: work extraction, Maxwell’s demon, Landauer’s principle and quantum heat engines.
Entropy production in quantum systems quantifies irreversibility and connects to the second law. Theory, fluctuation relations and experiments.
Non-Markovian quantum dynamics has memory: information can flow back from the environment. How it is measured and why it matters.