Quantum states representing perfectly secure bits are always distillable

Abstract

It is proven that recently introduced states with perfectly secure bits of cryptographic key (private states representing secure bit) [K. Horodecki et al., Phys. Rev. Lett. 94, 160502 (2005)] as well as its multipartite and higher dimension generalizations always represent distillable entanglement. The corresponding lower bounds on distillable entanglement are provided. We also present a simple alternative proof that for any bipartite quantum state entanglement cost is an upper bound on distillable cryptographic key in bipartite scenario.

RevTeX, 5 pages, published version

References in corpus (13)

• Mixed State Entanglement and Quantum Error Correction
• Concentrating Partial Entanglement by Local Operations
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Quantum privacy amplification and the security of quantum cryptography over noisy channels
• The asymptotic entanglement cost of preparing a quantum state
• Secure key from bound entanglement
• An improved bound on distillable entanglement
• Continuity bounds for entanglement
• Quantum cryptography on noisy channels: quantum versus classical key-agreement protocols
• Entanglement and thermodynamical analogies
• Tomographic Quantum Cryptography: Equivalence of Quantum and Classical Key Distillation
• On the irreversibility of entanglement distillation
• Quantum key distribution based on arbitrarily-weak distillable entangled states

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• Multipartite secret key distillation and bound entanglement
• Squashed entanglement and approximate private states
• Multipartite entanglement measures: a review
• Energy-constrained two-way assisted private and quantum capacities of quantum channels
• Bounds on entanglement distillation and secret key agreement for quantum broadcast channels
• Perfect Quantum Privacy Implies Nonlocality
• Bounds on quantum nonlocality via partial transposition
• Quantum states for perfectly secure secret sharing
• Additivity of entanglement of formation via entanglement-breaking space
• Quantum cryptographic resource distillation and entanglement