Catalytic Decoupling of Quantum Information

Abstract

The decoupling technique is a fundamental tool in quantum information theory with applications ranging from quantum thermodynamics to quantum many body physics to the study of black hole radiation. In this work we introduce the notion of catalytic decoupling, that is, decoupling in the presence of an uncorrelated ancilla system. This removes a restriction on the standard notion of decoupling, which becomes important for structureless resources, and yields a tight characterization in terms of the max-mutual information. Catalytic decoupling naturally unifies various tasks like the erasure of correlations and quantum state merging, and leads to a resource theory of decoupling.

6+16 pages, 1 figure

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Cited by in corpus (27)

• Quantum Resource Theories
• Von Neumann entropy from unitarity
• Quantifying resource in catalytic resource theory
• Catalysis of entanglement and other quantum resources
• Thermodynamic Capacity of Quantum Processes
• Fundamental work cost of quantum processes
• Deconstruction and conditional erasure of quantum correlations
• Disentanglement Cost of Quantum States
• Partially smoothed information measures
• One-shot Coherence Distillation with Catalysts
• Conditional Decoupling of Quantum Information
• Quantum non-malleability and authentication
• Efficient methods for one-shot quantum communication
• Thermodynamic Implementations of Quantum Processes
• Weak approximate unitary designs and applications to quantum encryption
• Asymptotic Properties for Markovian Dynamics in Quantum Theory and General Probabilistic Theories
• One-shot quantum state exchange
• Reliability Function of Quantum Information Decoupling via the Sandwiched Rényi Divergence
• Reliable Simulation of Quantum Channels: the Error Exponent
• Quantum State Merging for Arbitrarily Small-Dimensional Systems
• Teleportation with Embezzling Catalysts
• Entropy in Quantum Information Theory -- Communication and Cryptography
• One-Shot Triple-Resource Trade-Off in Quantum Channel Coding
• Communication with Quantum Catalysts
• Catalytic transformations with finite-size environments: applications to cooling and thermometry
• Uncloneable Encryption from Decoupling
• Unlocking inaccessible performance of the quantum refrigerator with catalysts