SICs, the Stabilizer Polytope and Majorization

2025/09/20 by Blake C. Stacey, Stacey, Blake C.
Computer Science · #Digital Filter Design and Implementation #Embedded Systems Design Techniques #FOS: Physical sciences #Numerical Methods and Algorithms #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2509.16819

openalex publication_date 2025/09/20 · openalex created_date 2025/10/16 · openalex updated_date 2026/07/28

Abstract

The theory of majorization provides a unifying account of several ways in which Symmetric Informationally Complete POVMs are extremal entities.

Citations

• A Constructive Approach to Zauner's Conjecture via the Stark Conjectures
• Quantum States with Maximal Magic
• Quantum mechanics? It's all fun and games until someone loses an i
• Entropy and Diversity: The Axiomatic Approach
• Measuring diversity: the importance of species similarity
• Symmetric Informationally-Complete Quantum States as Analogues to Orthonormal Bases and Minimum-Uncertainty States

Related

• Length of separable states and symmetrical informationally complete (SIC) POVM
• More on the properties of the generalized majorization
• Poset-refined majorization relations
• On Majorization in Dependence Modeling
• Sporadic SICs and Exceptional Lie Algebras