Distillability via protocols respecting the positivity of partial transpose
arXiv:quant-ph/0104095 · doi:10.1103/PhysRevLett.87.257902
Abstract
We show that all quantum states that do not have a positive partial transpose are distillable via channels, which preserve the positivity of the partial transpose. The question whether NPT bound entanglement exist is therefore closely related to the connection between the set of separable superoperators and PPT-preserving maps.
3 pages, REVTeX, remark on complete positivity and reference added
Cited by in corpus (44)
- Quantum entanglement
- Fundamentals of Quantum Information Theory
- The entanglement cost under operations preserving the positivity of partial transpose
- Quantum Capacities of Channels with small Environment
- A reversible theory of entanglement and its relation to the second law
- The private classical capacity with a symmetric side channel and its application to quantum cryptography
- A few steps more towards NPT bound entanglement
- Cost of quantum entanglement simplified
- Dynamical Entanglement
- Dense coding with multipartite quantum states
- Entanglement of a bipartite channel
- Bound entanglement provides convertibility of pure entangled states
- Activating NPPT distillation with an infinitesimal amount of bound entanglement
- Improved Semidefinite Programming Upper Bound on Distillable Entanglement
- An Introduction to Quantum Entanglement: a Geometric Approach
- Weaker entanglement guarantees stronger entanglement
- Efficient distillation beyond qubits
- Irreversibility of Asymptotic Entanglement Manipulation Under Quantum Operations Completely Preserving Positivity of Partial Transpose
- Entanglement under restricted operations: Analogy to mixed-state entanglement
- Tight constraints on probabilistic convertibility of quantum states
- One-shot entanglement distillation beyond local operations and classical communication
- Rank three bipartite entangled states are distillable
- Entanglement and Symmetry: A Case Study in Superselection Rules, Reference Frames, and Beyond
- Better detection of Multipartite Bound Entanglement with Three-Setting Bell Inequalities
- Entanglement Theory and the Quantum Simulation of Many-Body Physics
- Five open problems in quantum information
- Mixed-state entanglement and information recovery in thermalized states and evaporating black holes
- Entanglement Distillation; A Discourse on Bound Entanglement in Quantum Information Theory
- Correlated entanglement distillation and the structure of the set of undistillable states
- Attainability and lower semi-continuity of the relative entropy of entanglement, and variations on the theme
- Entanglement manipulation and distillability beyond LOCC
- Decomposability of Linear Maps under Tensor Products
- Remarks on the equivalence of full additivity and monotonicity for the entanglement cost
- Usefulness of classical communication for local cloning of entangled states
- Catalytic and asymptotic equivalence for quantum entanglement
- An Extention of Entanglement Measures for Pure States
- Non-distillable entanglement guarantees distillable entanglement
- Response in violation of Bell inequality to imperfect photon addition and subtraction in noisy squeezed states of light
- Activation of Nonmonogamous Multipartite Quantum States
- Computable entanglement cost under positive partial transpose operations
- Quantum key distribution over noisy channels by the testing state method
- One-shot rates for entanglement manipulation under non-entangling maps
- Bound entanglement and distillability of multipartite quantum systems
- Thermodynamics of bipartite entanglement