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

2025/05/31 by Hedemann, Samuel R.
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2506.02036

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.

Citations

• su(d)-squeezing and many-body entanglement geometry in finite-dimensional systems
• Uncertainty relations for any multi observables
• Generalized Cauchy-Schwarz inequality and Uncertainty Relation
• A squeezing formalism for finite dimensional quantum systems
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Entanglement of a Pair of Quantum Bits
• Ordered Expansions in Boson Amplitude Operators
• The Quantum Theory of Optical Coherence
• Symmetries of Baryons and Mesons
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?

Related

• Generalized Cauchy-Schwarz inequality and Uncertainty Relation
• Interpretation of Uncertainty Relations for Three or More Observables
• Uncertainty relations for any multi observables
• Testing Heisenberg's measurement uncertainty relation of three observables
• Complementarity and the uncertainty relations