Symmetric informationally complete quantum measurements
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Summary
It is conjecture that a particular kind of group-covariant SIC–POVM exists in arbitrary dimensions, providing numerical results up to dimension 45 to bolster this claim.
- Type
- article
- Published
- 2003-10-13
- Cited by
- 1,090
- References
- 26
- Access
- Open access
- OpenAlex
- https://openalex.org/W2094366212
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:17371881
Keywords
POVM, SIC-POVM, Mathematics, Operator (biology), Measure (data warehouse)
References
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- Quantum Mechanics on Phase Space
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- Handbook of geometry of Banach spaces
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- Quantum Mechanics as Quantum Information (and only a little more)
- Group representations, error bases and quantum codes
- Frames, bases, and group representations
- Equiangular lines in Cr (part II)
- Information-theoretical aspects of quantum measurement
- Unknown Quantum States: The Quantum de Finetti Representation
- Equiangular lines in Cr
- Informationally complete sets of physical quantities
- GRASSMANNIAN FRAMES WITH APPLICATIONS TO CODING AND COMMUNICATION
- Norms of Minimal Projections
- Beyond stabilizer codes I: Nice error bases
- All teleportation and dense coding schemes
- Informationally complete measurements and group representation
- Finite Normalized Tight Frames
- Advances in Computational Mathematics
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- Regular structures of lines in complex spaces
- Characterization of Quantum States of Light
- Group theoretic, lie algebraic and Jordan algebraic formulations of the sic existence problem
- On the Optimal Choice of Spin-Squeezed States for Detecting and Characterizing a Quantum Process
- The Vector representation of the Standard Quantum Process Tomography
- Quantumness, generalized 2-desing and symmetric informationally complete POVM
- Nuevos algoritmos cuánticos para tomografía de procesos y estados
- Geometry of Quantum States: Index
- Applications of compressed sensing in computational physics
- Frame Potentials and the Geometry of Frames
- Gaussian and covariant processes in discrete and continuous variable quantum information
- Some Theory and Applications of Probability in Quantum Mechanics
- Fisher-Symmetric Informationally Complete Measurements for Pure States.
- Welch Bounds and Quantum State Tomography
- Experimental investigation of local environment effects on the quantum teleportation fidelity
- Renyi and Tsallis formulations of noise-disturbance trade-off relations
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