Disentanglement Cost of Quantum States
arXiv:1708.00360 · doi:10.1103/PhysRevLett.121.190503
Abstract
We show that the minimal rate of noise needed to catalytically erase the entanglement in a bipartite quantum state is given by the regularized relative entropy of entanglement. This offers a solution to the central open question raised in [Groisman, PRA 72, 032317 (2005)] and complements their main result that the minimal rate of noise needed to erase all correlations is given by the quantum mutual information. We extend our discussion to the tripartite setting where we show that an asymptotic rate of noise given by the regularized relative entropy of recovery is sufficient to catalytically transform the state to a locally recoverable version of the state.
v4: 6 pages, final published version
References in corpus (9)
- Area laws in quantum systems: mutual information and correlations
- On the quantum, classical and total amount of correlations in a quantum state
- The thermodynamic meaning of negative entropy
- Entanglement Theory and the Second Law of Thermodynamics
- Quantifying resource in catalytic resource theory
- Efficient optimization of the quantum relative entropy
- Catalytic Decoupling of Quantum Information
- Deconstruction and conditional erasure of quantum correlations
- Symmetrizing Cost of Quantum States
Cited by in corpus (16)
- Quantum Resource Theories
- General Resource Theories in Quantum Mechanics and Beyond: Operational Characterization via Discrimination Tasks
- Operational Advantage of Quantum Resources in Subchannel Discrimination
- How to quantify a dynamical quantum resource
- Quantifying resource in catalytic resource theory
- A chain rule for the quantum relative entropy
- On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources
- Entanglement and coherence in Bernstein-Vazirani algorithm
- Convex-split and hypothesis testing approach to one-shot quantum measurement compression and randomness extraction
- Quantum speed limit for robust state characterization and engineering
- Thermodynamic Implementations of Quantum Processes
- Efficient methods for one-shot quantum communication
- Mutual Information is not a Reliable Measure for Variations in Total Correlations
- Additivity of entanglement of formation via entanglement-breaking space
- Tripartite genuinely entangled states from entanglement-breaking subspaces
- Necessary conditions on effective quantum entanglement catalysts