Measures from conical 2-designs depend only on two constants

• URL: http://arxiv.org/abs/2506.18211v1
• Date: Mon, 23 Jun 2025 00:17:35 GMT
• Title: Measures from conical 2-designs depend only on two constants
• Authors: Katarzyna Siudzińska,
• Abstract summary: We show that only two positive constants are needed to fully characterize a variety of important quantum measures constructed from such operators.<n>Examples are given for entropic uncertainty relations, the Brukner-Zeilinger invariants, quantum coherence, quantum concurrence, and the Schmidt-number criterion for entanglement detection.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum measurements are important tools in quantum information, represented by positive, operator-valued measures. A wide class of symmetric measurements is given via generalized equiangular measurements that form conical 2-designs. We show that only two positive constants are needed to fully characterize a variety of important quantum measures constructed from such operators. Examples are given for entropic uncertainty relations, the Brukner-Zeilinger invariants, quantum coherence, quantum concurrence, and the Schmidt-number criterion for entanglement detection.

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