Unsolved problems in mathematics | Quantum measurement | Operator theory | Hilbert space

SIC-POVM

A symmetric, informationally complete, positive operator-valued measure (SIC-POVM) is a special case of a generalized measurement on a Hilbert space, used in the field of quantum mechanics. A measurement of the prescribed form satisfies certain defining qualities that makes it an interesting candidate for a "standard quantum measurement", utilized in the study of foundational quantum mechanics, most notably in QBism. Furthermore, it has been shown that applications exist in quantum state tomography and quantum cryptography, and a possible connection has been discovered with Hilbert's twelfth problem. (Wikipedia).

SIC-POVM
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Related pages

Group representation | Mutually unbiased bases | Tensor product | POVM | Identity matrix | Positive-definite kernel | Generating set of a group | Prime power | Projection (linear algebra) | Hilbert space | Affine plane (incidence geometry) | Quantum Bayesianism | Measurement in quantum mechanics | Inverse element | Quantum cryptography | Kochen–Specker theorem | Unitary representation | Rank (linear algebra) | Generalizations of Pauli matrices | Bloch sphere | Hilbert's twelfth problem