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arXiv · 2506.16850

Refined uncertainty relation for q-commutator

Kenjiro Yanagi
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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 $q\in \mathbb{R}$. The coefficient is represented by the eigenvalues of state $\rho$.

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Kenjiro Yanagi. 2025-06-20. Refined uncertainty relation for q-commutator. https://arxiv.org/abs/2506.16850

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