Multi-Operator Quantum Uncertainty Relations from New Cauchy-Schwarz Inequalities
Quantum Physics
2026-02-24 v2
Abstract
We present new generalizations of Cauchy-Schwarz (CS) inequalities to multiple vectors and use them to derive multi-operator quantum uncertainty relations and propose multi-operator squeezing.
Cite
@article{arxiv.2506.02036,
title = {Multi-Operator Quantum Uncertainty Relations from New Cauchy-Schwarz Inequalities},
author = {Samuel R. Hedemann},
journal= {arXiv preprint arXiv:2506.02036},
year = {2026}
}
Comments
16 pages, 6 figures, 1 table, 1 appendix. v2: changed term "M-operator squeezing threshold" to "M-operator variance-product bound" and added term "q/M squeezing threshold" which is actually the 1/Mth power of the new M-operator variance-product bound, due to conceptual benefits from this distinction. Added mixed-state proof in appendix. No results affected