Detecting entanglement of continuous variables with three mutually unbiased bases

2016/04/25 by E. C. Paul, D. S. Tasca, Łukasz Rudnicki +2 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Bipartite graph #Computer science #Continuous variable #Discrete mathematics #Hilbert space #Mathematical analysis #Mathematics #Mechanical and Optical Resonators #Mutually unbiased bases #Orbital Angular Momentum in Optics #Photon entanglement #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum entanglement #Quantum mechanics #Space (punctuation) #Statistical physics #Statistics #Variable (mathematics) #Variance (accounting) #quant-ph

paper · pdf · doi:10.1103/physreva.94.012303

published as Phys. Rev. A 94, 012303 (2016)

arxiv created 2016/04/25 · openalex publication_date 2016/07/05 · arxiv updated 2017/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

An uncertainty relation is introduced for a symmetric arrangement of three mutually unbiased bases in continuous-variable phase space, and then used to derive a bipartite entanglement criterion based on the variance of global operators composed of these three phase-space variables. We test this criterion using spatial variables of photon pairs and show that the entangled photons are correlated in three pairs of bases.

Citations

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Cited by

• Measurements in two bases are sufficient for certifying high-dimensional entanglement
• Quantifying Measurement Incompatibility of Mutually Unbiased Bases