Informational power of the Hoggar SIC-POVM
arXiv:1512.01735 · doi:10.1103/PhysRevA.94.012122
Abstract
We compute the informational power for the Hoggar SIC-POVM in dimension 8, i.e. the classical capacity of a quantum-classical channel generated by this measurement. We show that the states constituting a maximally informative ensemble form a twin Hoggar SIC-POVM being the image of the original one under a conjugation.
arXiv comment6 double column pages
References in corpus (23)
- Symmetric Informationally Complete Quantum Measurements
- Unknown Quantum States: The Quantum de Finetti Representation
- Tight informationally complete quantum measurements
- Multiqubit Clifford groups are unitary 3-designs
- The Clifford group, stabilizer states, and linear and quadratic operations over GF(2)
- Additivity of the Classical Capacity of Entanglement-Breaking Quantum Channels
- Equiangular lines, mutually unbiased bases, and spin models
- Mathematical and physical aspects of complex symmetric operators
- Accessible information and optimal strategies for real symmetrical quantum sources
- Geometrical aspects of entanglement
- Quantum State Tomography with Joint SIC POMs and Product SIC POMs
- An optimal entropic uncertainty relation in a two-dimensional Hilbert space
- Informational power of quantum measurements
- Information capacity of quantum observable
- Equiangular Spherical Codes in Quantum Cryptography
- Super-symmetric informationally complete measurements
- Optimal signal states for quantum detectors
- SIC-POVMs and Compatibility among Quantum States
- Entanglement detection via general SIC-POVMs
- Maximally informative ensembles for SIC-POVMs in dimension 3
- Tight Bounds on the Accessible Information and the Informational Power
- Accessible Information and Informational Power of Quantum 2-designs
- Hierarchy of Bounds on Accessible Information and Informational Power
Cited by in corpus (17)
- The SIC Question: History and State of Play
- QBism: Quantum Theory as a Hero's Handbook
- SIC-POVMs and Compatibility among Quantum States
- Sporadic SICs and the Normed Division Algebras
- Discrete Wigner Functions from Informationally Complete Quantum Measurements
- Negativity Bounds for Weyl-Heisenberg Quasiprobability Representations
- Compounds of symmetric informationally complete measurements and their application in quantum key distribution
- Geometric and Information-Theoretic Properties of the Hoggar Lines
- Quantum dynamical entropy, chaotic unitaries and complex Hadamard matrices
- Communication capacity of mixed quantum t designs
- Quantum Theory as Symmetry Broken by Vitality
- Is the SIC Outcome There When Nobody Looks?
- Discrimination power of a quantum detector
- Morphophoric POVMs, generalised qplexes, and 2-designs
- Invariant Off-Diagonality: SICs as Equicoherent Quantum States
- Tradeoff relations between accessible information, informational power, and purity
- Maximal Sets of Equiangular Lines