Multi-Operator Quantum Uncertainty Relations from New Cauchy-Schwarz Inequalities
arXiv:2506.02036 · doi:10.1088/1751-8121/ae37af
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.
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