Choice of mutually unbiased bases and outcome labelling affects measurement outcome secrecy
arXiv:2006.08226 · doi:10.1103/PhysRevA.103.032206
Abstract
Mutually unbiased bases (MUBs) are a crucial ingredient for many protocols in quantum information processing. Measurements performed in these bases are unbiased to the maximally possible extent, which is used to prove randomness or secrecy of measurement results. In this work we show that certain properties of sets of MUBs crucially depend on their specific choice, including, somewhat surprisingly, measurement outcome labelling. If measurements are chosen in a coherent way, the secrecy of the result can be completely lost for specific sets of MUB measurements, while partially retained for others. This can potentially impact a broad spectrum of applications, where MUBs are utilized.
arXiv comment10 pages, 2 figures
References in corpus (24)
- Security of quantum key distribution using d-level systems
- Quantum Error Correction and Orthogonal Geometry
- On mutually unbiased bases
- Incoherent and Coherent Eavesdropping in the 6-state Protocol of Quantum Cryptography
- Security Proof for Quantum Key Distribution Using Qudit Systems
- Entanglement detection via mutually unbiased bases
- Measurements in two bases are sufficient for certifying high-dimensional entanglement
- Entropic uncertainty relations and locking: tight bounds for mutually unbiased bases
- Maximal Sets of Mutually Unbiased Quantum States in Dimension Six
- Self-testing mutually unbiased bases in the prepare-and-measure scenario
- Quantifying measurement incompatibility of mutually unbiased bases
- Quantifying high dimensional entanglement with two mutually unbiased bases
- Steering criteria from general entropic uncertainty relations
- Mutually unbiased bases and symmetric informationally complete measurements in Bell experiments
- Maximal nonlocality from maximal entanglement and mutually unbiased bases, and self-testing of two-qutrit quantum systems
- Complementarity and correlations
- Connections Between Mutually Unbiased Bases and Quantum Random Access Codes
- Loss-tolerant EPR steering for arbitrary dimensional states: joint measurability and unbounded violations under losses
- Detecting entanglement of continuous variables with three mutually unbiased bases
- Intermediate states in quantum cryptography and Bell inequalities
- Multipartite correlations in mutually unbiased bases
- Sizing up entanglement in mutually unbiased bases with Fisher information
- Quantum preparation uncertainty and lack of information
- Loss of Information in Quantum Guessing Game