SIC-POVM

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. Furthermore, it has been shown that applications exist in quantum state tomography and quantum cryptography.

Read more about SIC-POVM:  Definition, Relation To Spherical T-designs, Relation To MUBs

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SIC-POVM
... Quantum t-designs have been recently introduced to POVMs and SIC-POVMs as a means of providing a simple and elegant formulation of the field in a general setting, since a SIC-P ...
SIC-POVM - Relation To MUBs
... in nature to the symmetric property of SIC-POVMs ... In fact, the problem of finding a SIC-POVM is precisely the problem of finding equiangular lines in whereas mutually unbiased bases are analogous to affine spaces ... "complete set of mutually unbiased bases is identical to the geometric structure analogous to a SIC-POVM " ...