Multi-Operator Quantum Uncertainty Relations from New Cauchy-Schwarz Inequalities

TL;DR

This paper introduces new generalized Cauchy-Schwarz inequalities for multiple vectors, leading to novel multi-operator quantum uncertainty relations and the concept of multi-operator squeezing, advancing quantum measurement theory.

Contribution

It provides the first generalizations of Cauchy-Schwarz inequalities for multiple vectors, enabling new multi-operator uncertainty relations and squeezing concepts in quantum physics.

Findings

Derived new multi-operator quantum uncertainty relations

Proposed the concept of multi-operator squeezing

Extended Cauchy-Schwarz inequalities to multiple vectors

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.