positive operator-valued measures (SIC-POVMs) are a particular type of generalized measurement (POVM). SIC-POVMs are particularly notable thanks to their...
21 KB (3,522 words) - 15:32, 19 April 2024
positive operator-valued measure (POVM) is a measure whose values are positive semi-definite operators on a Hilbert space. POVMs are a generalization of projection-valued...
18 KB (3,061 words) - 07:28, 15 May 2024
the outcomes of a SIC-POVM experiment, one can reproduce all the statistical predictions implied by the density matrix from the SIC-POVM probabilities instead...
70 KB (8,310 words) - 14:32, 11 July 2024
in several other branches of mathematics and quantum sciences, such as SIC-POVMs, finite projective/affine planes, complex Hadamard matrices and more [see...
27 KB (4,231 words) - 10:12, 7 July 2024
correction Quantum limit Quantum logic Quantum Zeno effect Schrödinger's cat SIC-POVM Hellwig and Kraus originally introduced operators with two indices, A i...
66 KB (8,316 words) - 23:34, 27 August 2024
{\displaystyle R} , then V {\displaystyle V} is smooth. Zauner's conjecture: do SIC-POVMs exist in all dimensions? Zilber–Pink conjecture that if X {\displaystyle...
190 KB (19,589 words) - 02:36, 29 August 2024
JSTOR 27854250. Bengtsson, Ingemar (2017). "The Number Behind the Simplest SIC-POVM". Foundations of Physics. 47 (8): 1031–41. arXiv:1611.09087. Bibcode:2017FoPh...
61 KB (8,208 words) - 21:57, 25 August 2024
measures POVM's, which are complex projective 2-design. Since such 2-designs must have at least d 2 {\displaystyle d^{2}} elements, a SIC-POVM is a minimal...
14 KB (2,450 words) - 19:59, 27 August 2024
313–354. ISBN 978-1-107-02625-4. OCLC 967938939. Zhu, Huangjun (2010). "SIC POVMs and Clifford groups in prime dimensions". Journal of Physics A: Mathematical...
116 KB (14,108 words) - 23:59, 15 August 2024
equations and units of certain rings, and they arise in the study of SIC-POVMs in quantum information theory. The equation x 2 − d y 2 = 4 {\displaystyle...
48 KB (6,613 words) - 01:05, 25 August 2024
Grassl. A maximal set of complex equiangular lines is also known as a SIC or SIC-POVM. J. J. Seidel "Discrete non-Euclidean geometry" In Buekenhout (ed.)...
8 KB (1,206 words) - 19:43, 20 January 2024
exist structures known as SIC-POVMs or SICs, which correspond to maximal sets of complex equiangular lines. Some of the known SICs—those in vector spaces...
25 KB (3,088 words) - 01:07, 20 May 2024