Refined uncertainty relation for q-commutator

2025/06/20 by Yanagi, Kenjiro
Computer Science · Mathematics · Physics and Astronomy · #FOS: Mathematics #Functional Analysis (math.FA) #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2506.16850

openalex publication_date 2025/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that Robertson uncertainty relation can be refined for q-commutator which is defined by [A,B]_q = AB-qBA, where A, B are self-adjoint operators and real number q∈ ℝ. The coefficient is represented by the eigenvalues of state ρ.

Citations

• Tight Generalization of Robertson-Type Uncertainty Relations

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