Intermediate states in quantum cryptography and Bell inequalities

Abstract

Intermediate states are known from intercept/resend eavesdropping in the BB84 quantum cryptographic protocol. But they also play fundamental roles in the optimal eavesdropping strategy on BB84 and in the CHSH inequality. We generalize the intermediate states to arbitrary dimension and consider intercept/resend eavesdropping, optimal eavesdropping on the generalized BB84 protocol and present a generalized CHSH inequality for two entangled quNits based on these states.

19 pages, 1 figure included

References in corpus (4)

• Quantum Cryptography
• Security of quantum key distribution using d-level systems
• Optimal eavesdropping in cryptography with three-dimensional quantum states
• Non locality, closing the detection loophole and communication complexity

Cited by in corpus (13)

• More efficient Bell inequalities for Werner states
• Quantifying measurement incompatibility of mutually unbiased bases
• Bounding the dimension of bipartite quantum systems
• Reexamination of a multisetting Bell inequality for qudits
• Efficiency of higher dimensional Hilbert spaces for the violation of Bell inequalities
• Device-Independent Certification of a Nonprojective Qubit Measurement
• Generalized Clauser-Horne-Shimony-Holt inequalities maximally violated by higher dimensional systems
• A Flexible Source of Non-Degenerate Entangled Photons Based on a Two-Crystal Sagnac Interferometer
• A universal scheme for robust self-testing in the prepare-and-measure scenario
• Device-independent and semi-device-independent entanglement certification in broadcast Bell scenarios
• From Quantum State Targeting to Bell Inequalities
• Choice of mutually unbiased bases and outcome labelling affects measurement outcome secrecy
• Designing generalized elegant Bell inequalities in higher dimensions from a Tsirelson bound