Fidelity Bounds for Device-Independent Advantage Distillation
arXiv:2105.03213 · doi:10.1038/s41534-022-00635-y
Abstract
It is known that advantage distillation (that is, information reconciliation using two-way communication) improves noise tolerances for quantum key distribution (QKD) setups. Two-way communication is hence also of interest in the device-independent case, where noise tolerance bounds for one-way error correction are currently too low to be experimentally feasible. Existing security proofs for the device-independent repetition-code protocol (the most prominent form of advantage distillation) rely on fidelity-related security conditions, but previous bounds on the fidelity were not tight. We improve on those results by developing an algorithm that returns arbitrarily tight lower bounds on the fidelity. Our results give new insight on how strong the fidelity-related security conditions are, and could also be used to compute some lower bounds on one-way protocol keyrates. Finally, we conjecture a necessary security condition for the protocol studied in this work, that naturally complements the existing sufficient conditions.
arXiv comment15 pages, 3 figures. Includes changes made for publication
References in corpus (21)
- Quantum cryptography: Public key distribution and coin tossing
- The Security of Practical Quantum Key Distribution
- Bell nonlocality
- A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
- Device-independent quantum key distribution secure against collective attacks
- The Quantum Chernoff Bound
- The Chernoff lower bound for symmetric quantum hypothesis testing
- Memory Attacks on Device-Independent Quantum Cryptography
- More Randomness from the Same Data
- Using complete measurement statistics for optimal device-independent randomness evaluation
- Key distillation from quantum channels using two-way communication protocols
- Advantage distillation for device-independent quantum key distribution
- Universal bounds for the Holevo quantity, coherent information \\ and the Jensen-Shannon divergence
- Noisy pre-processing facilitating a photonic realisation of device-independent quantum key distribution
- Device-independent quantum key distribution with asymmetric CHSH inequalities
- Key rate of quantum key distribution with hashed two-way classical communication
- Device-independent quantum key distribution from generalized CHSH inequalities
- Secrecy content of two-qubit states
- Pretty good measures in quantum information theory
- Numerical evidence for bound secrecy from two-way post-processing in quantum key distribution
- Fidelity Bounds for Device-Independent Advantage Distillation