All classes of informationally complete symmetric measurements in finite dimensions

• URL: http://arxiv.org/abs/2111.08101v2
• Date: Thu, 7 Apr 2022 12:19:19 GMT
• Title: All classes of informationally complete symmetric measurements in finite dimensions
• Authors: Katarzyna Siudzi\'nska
• Abstract summary: A broad class of informationally complete symmetric measurements is introduced. It can be understood as a common generalization of symmetric, informationally complete POVMs and mutually unbiased bases.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A broad class of informationally complete symmetric measurements is introduced. It can be understood as a common generalization of symmetric, informationally complete POVMs and mutually unbiased bases. Additionally, it provides a natural way to define two new families of mutually unbiased symmetric measurement operators in any finite dimension. We show a general method of their construction, together with an example of an optimal measurement. Finally, we analyze the properties of symmetric measurements and provide applications in entropic relations and entanglement detection.

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