The objective is to propose new Cauchy-Schwarz inequalities to establish multi-operator quantum uncertainty relations.
Developed generalizations of Cauchy-Schwarz inequalities for multiple vectors.
Applied these inequalities to derive quantum uncertainty relations involving multiple operators.
Proposed a concept of multi-operator squeezing based on these new relations.
Established new multi-operator quantum uncertainty relations based on the inequalities.
Introduced novel implications for multi-operator squeezing in quantum mechanics.
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.