Fibonacci-Lucas SIC-POVMs
نویسندگان
چکیده
منابع مشابه
Fibonacci-Lucas densities
Both Fibonacci and Lucas numbers can be described combinatorially in terms of 0− 1 strings without consecutive ones. In the present article we explore the occupation numbers as well as the correlations between various positions in the corresponding configurations. (2000) Mathematics Subject Classification: 11B39, 05A15
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The most general type of measurement in a quantum system is a Positive Operator Valued Measure (POVM). In order for the POVM to completely determine the quantum state being measured it must be Informationally Complete. Maximal independence of outcomes is critical in Cryptographic applications [7], thus the pairwise inner products of the POVM elements need to be uniform. Thus we are interested i...
متن کاملSic-povms and the Extended Clifford Group
We describe the structure of the extended Clifford Group (defined to be the group consisting of all operators, unitary and anti-unitary, which normalize the generalized Pauli group (or Weyl-Heisenberg group as it is often called)). We also obtain a number of results concerning the structure of the Clifford Group proper (i.e. the group consisting just of the unitary operators which normalize the...
متن کاملOn SIC-POVMs in Prime Dimensions
The generalized Pauli group and its normalizer, the Clifford group, have a rich mathematical structure which is relevant to the problem of constructing symmetric informationally complete POVMs (SIC-POVMs). To date, almost every known SIC-POVM fiducial vector is an eigenstate of a “canonical” unitary in the Clifford group. I show that every canonical unitary in prime dimensions p > 3 lies in the...
متن کاملSIC-POVMs and Compatibility among Quantum States
An unexpected connection exists between compatibility criteria for quantum states and Symmetric Informationally Complete quantum measurements (SIC-POVMs). Beginning with Caves, Fuchs and Schack’s "Conditions for compatibility of quantum state assignments", I show that a qutrit SIC-POVM studied in other contexts enjoys additional interesting properties. Compatibility criteria provide a new way t...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2017
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4995444