Quantum Sampling for Optimistic Finite Key Rates in High Dimensional Quantum Cryptography
arXiv:2012.04151
Abstract
It has been shown recently that the framework of quantum sampling, as introduced by Bouman and Fehr, can lead to new entropic uncertainty relations highly applicable to finite-key cryptographic analyses. Here we revisit these so-called sampling-based entropic uncertainty relations, deriving newer, more powerful, relations and applying them to source-independent quantum random number generators and high-dimensional quantum key distribution protocols. Along the way, we prove several interesting results in the asymptotic case for our entropic uncertainty relations. These sampling-based approaches to entropic uncertainty, and their application to quantum cryptography, hold great potential for deriving proofs of security for quantum cryptographic systems, and the approaches we use here may be applicable to an even wider range of scenarios.
References in corpus (18)
- The Security of Practical Quantum Key Distribution
- Security of quantum key distribution using d-level systems
- The Uncertainty Principle in the Presence of Quantum Memory
- Quantum Random Number Generators
- The operational meaning of min- and max-entropy
- Entropic Uncertainty Relations and their Applications
- Tight Finite-Key Analysis for Quantum Cryptography
- The Uncertainty Relation for Smooth Entropies
- Quantum Randomness Certified by the Uncertainty Principle
- Security of practical private randomness generation
- High speed self-testing quantum random number generation without detection loophole
- Entropic Uncertainty Relations in Quantum Physics
- Experimental quantum key distribution without monitoring signal disturbance
- Experimental Passive Round-Robin Differential Phase-Shift Quantum Key Distribution
- Experimental fast quantum random number generation using high-dimensional entanglement with entropy monitoring
- Security bound of two-bases quantum key-distribution protocols using qudits
- Proof-of-principle experimental realization of a qubit-like qudit-based quantum key distribution scheme
- True randomness from realistic quantum devices