Sporadic SICs and the Normed Division Algebras
arXiv:1605.01426 · doi:10.1007/s10701-017-0087-2
Abstract
Recently, Zhu classified all the SIC-POVMs whose symmetry groups act doubly transitively. Lattices of integers in the complex numbers, the quaternions and the octonions yield the key parts of these symmetry groups.
2 pages, at the expense of deleting the definition of a Moufang loop
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- The sphere packing problem in dimension 8
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- QBism, the Perimeter of Quantum Bayesianism
- Introduction to the book "Quantum Theory: Informational Foundations and Foils"
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Cited by in corpus (16)
- The SIC Question: History and State of Play
- Constructing exact symmetric informationally complete measurements from numerical solutions
- Introducing the Qplex: A Novel Arena for Quantum Theory
- Symmetric Informationally Complete Measurements Identify the Irreducible Difference between Classical and Quantum Systems
- Linking Entanglement Detection and State Tomography via Quantum 2-Designs
- QBism: Quantum Theory as a Hero's Handbook
- Discrete Wigner Functions from Informationally Complete Quantum Measurements
- Geometric and Information-Theoretic Properties of the Hoggar Lines
- Learning entanglement breakdown as a phase transition by confusion
- Quantum Theory as Symmetry Broken by Vitality
- Character varieties and algebraic surfaces for the topology of quantum computing
- Is the SIC Outcome There When Nobody Looks?
- Bipartite Bound Entanglement
- Misreading EPR: Variations on an Incorrect Theme
- QBism and the Ithaca Desiderata
- Invariant Off-Diagonality: SICs as Equicoherent Quantum States