Device-independent quantum key distribution based on Bell inequalities with more than two inputs and two outputs
arXiv:2104.00413 · doi:10.1103/PhysRevA.103.052436
Abstract
Device-independent quantum key distribution (DI-QKD) offers the strongest form of security against eavesdroppers bounded by the laws of quantum mechanics. However, a practical implementation is still pending due to the requirement of combinations of visibility and detection efficiency that are beyond those possible with current technology. This mismatch motivates the search for DI-QKD protocols that can close the gap between theoretical and practical security. In this work, we present two DI-QKD protocols whose security relies on Bell inequalities with more than two inputs and two outputs. We show that, for maximally entangled states and perfect visibility, a protocol based on a Bell inequality with three inputs and four outputs requires a slightly lower detection efficiency than the protocols based on Bell inequalities with two inputs and two outputs.
arXiv comment8 pages, 4 figures
References in corpus (36)
- Bell nonlocality
- Advances in Quantum Cryptography
- Significant-loophole-free test of Bell's theorem with entangled photons
- Hacking commercial quantum cryptography systems by tailored bright illumination
- Bell inequalities for arbitrarily high dimensional systems
- No Signalling and Quantum Key Distribution
- Distillation of secret key and entanglement from quantum states
- A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
- The operational meaning of min- and max-entropy
- Device-independent quantum key distribution secure against collective attacks
- Quantum Hacking: Experimental demonstration of time-shift attack against practical quantum key distribution systems
- Violations of local realism by two entangled quNits are stronger than for two qubits
- Secure device-independent quantum key distribution with causally independent measurement devices
- Quantum non-locality in two three-level systems
- Randomness vs Non Locality and Entanglement
- Closing the detection loophole in Bell experiments using qudits
- Phase-Remapping Attack in Practical Quantum Key Distribution Systems
- "All versus nothing" inseparability for two observers
- All-Versus-Nothing Violation of Local Realism by Two-Photon, Four-Dimensional Entanglement
- Asymptotic violation of Bell inequalities and distillability
- Using complete measurement statistics for optimal device-independent randomness evaluation
- Device-independent Randomness Expansion with Entangled Photons
- Non locality, closing the detection loophole and communication complexity
- Quantum Bounds on Bell inequalities
- Algorithm 950: Ncpol2sdpa---Sparse Semidefinite Programming Relaxations for Polynomial Optimization Problems of Noncommuting Variables
- Device-Independent Quantum Key Distribution with Random Key Basis
- Partial list of bipartite Bell inequalities with four binary settings
- Quantum key distribution overcoming extreme noise: simultaneous subspace coding using high-dimensional entanglement
- Noisy pre-processing facilitating a photonic realisation of device-independent quantum key distribution
- Fully nonlocal quantum correlations
- Device-independent quantum key distribution with asymmetric CHSH inequalities
- Entangled qutrits violate local realism stronger than qubits - an analytical proof
- A Zoology of Bell inequalities resistant to detector inefficiency
- Towards a realization of device-independent quantum key distribution
- Device-independent quantum key distribution from generalized CHSH inequalities
- Parallel Device-Independent Quantum Key Distribution
Cited by in corpus (18)
- Photonic verification of device-independent quantum key distribution against collective attacks
- Security of device-independent quantum key distribution protocols: a review
- Device-independent quantum key distribution with random postselection
- Semidefinite programming relaxations for quantum correlations
- Device-independent quantum secret sharing with noise preprocessing and postselection
- Characterizing nonlocal correlations through various -locality inequlities in quantum network
- Device-Independent Quantum Key Distribution Based on the Mermin-Peres Magic Square Game
- Upper bounds on device-independent quantum key distribution rates in static and dynamic scenarios
- The future of secure communications: device independence in quantum key distribution
- Multipartite Intrinsic Non-Locality and Device-Independent Conference Key Agreement
- Multipartite quantum cryptography based on the violation of Svetlichny's inequality
- Upper bounds on key rates in device-independent quantum key distribution based on convex-combination attacks
- Generalized -locality inequalities in linear-chain network for arbitrary inputs scenario and their quantum violations
- Optimal quantum violations of n-locality inequalities with conditional dependence on inputs
- Tight Bell inequalities from polytope slices
- Quantum Key Distribution with Imperfections: Recent Advances in Security Proofs
- Impact of imperfect measurements on multi-party quantum key distribution
- Semi-device-independent certification of number of measurements