Multipartite Bound Information exists and can be activated
arXiv:quant-ph/0311064 · doi:10.1103/PhysRevLett.92.107903
Abstract
We prove the conjectured existence of Bound Information, a classical analog of bound entanglement, in the multipartite scenario. We give examples of tripartite probability distributions from which it is impossible to extract any kind of secret key, even in the asymptotic regime, although they cannot be created by local operations and public communication. Moreover, we show that bound information can be activated: three honest parties can distill a common secret key from different distributions having bound information. Our results demonstrate that quantum information theory can provide useful insight for solving open problems in classical information theory.
four pages
Cited by in corpus (26)
- Quantum entanglement
- The Security of Practical Quantum Key Distribution
- Entanglement detection
- Quantum Resource Theories
- General properties of Nonsignaling Theories
- Optimal spin squeezing inequalities detect bound entanglement in spin models
- Experimental multiparticle entanglement dynamics induced by decoherence
- Entanglement and permutational symmetry
- Secrecy extraction from no-signalling correlations
- Evaluation of convex roof entanglement measures
- Quantum correlations and secret bits
- Detecting two-party quantum correlations in quantum key distribution protocols
- Multipartite secret key distillation and bound entanglement
- Detection of multipartite entanglement with two-body correlations
- Bound entangled states with a private key and their classical counterpart
- Optimal approximate transpose map via quantum designs and its applications to entanglement detection
- Experimental Activation of Bound Entanglement
- Entanglement properties of quantum grid states
- Entanglement sharing with separable states
- Distillation of free entanglement from bound entangled states using weak measurements
- Non-secret correlations can be used to distribute secrecy
- Superactivation, unlockability, and secrecy distribution of bound information
- Gaussian intrinsic entanglement: An entanglement quantifier based on secret correlations
- Key Distillation and the Secret-Bit Fraction
- Gaussian multipartite bound information
- Percolation of secret correlations in a network