Quantum key distribution based on arbitrarily-weak distillable entangled states

Abstract

States with private correlations but little or no distillable entanglement were recently reported. Here, we consider the secure distribution of such states, i.e., the situation when an adversary gives two parties such states and they have to verify privacy. We present a protocol which enables the parties to extract from such untrusted states an arbitrarily long and secure key, even though the amount of distillable entanglement of the untrusted states can be arbitrarily small.

5 pages, 1 figure; v2 has minor corrections

References in corpus (7)

• Mixed State Entanglement and Quantum Error Correction
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• Unconditional Security Of Quantum Key Distribution Over Arbitrarily Long Distances
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Cited by in corpus (12)

• Quantum entanglement
• Unconditional security of entanglement-based continuous-variable quantum secret sharing
• Decoy state quantum key distribution with two-way classical post-processing
• Quantum key distribution based on private states: unconditional security over untrusted channels with zero quantum capacity
• Noisy Preprocessing and the Distillation of Private States
• Unconditional privacy over channels which cannot convey quantum information
• Upper bounds on device-independent quantum key distribution
• Quantum states representing perfectly secure bits are always distillable
• Bounds on quantum nonlocality via partial transposition
• Refined finite-size analysis of binary-modulation continuous-variable quantum key distribution
• Assisted Macroscopic Quantumness
• Limitations for private randomness repeaters