Quantum Min-Entropy and Extractable Randomness
Min-entropy measures the maximum probability of guessing a value. How its quantum version sets how much randomness can be extracted.
Entropy, channel capacity, teleportation, complexity classes and the theorems that define what quantum information can and cannot do.
155 articlesMin-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.
Private channels transmit quantum information with perfect secrecy against an eavesdropper. Private capacity, QKD and practical limits.
Quantum causal models extend causal graphs to quantum systems and help explain correlations. The framework and what it clarifies.
Quantum causal networks describe how cause and effect work between quantum systems. Their structure, properties and relation to non-locality.
Resource theories treat entanglement, coherence and other quantum properties as scarce resources with allowed operations. Framework and uses.