Fibonacci-Lucas SIC-POVMs

DOI10.1063/1.4995444zbMath1377.81014arXiv1707.02944OpenAlexW3101864652MaRDI QIDQ4600231

A. J. Scott, Markus Grassl

Publication date: 8 January 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02944

zbMATH Keywords

informationally complete positive operator valued measures

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum measurement theory, state operations, state preparations (81P15) Vector-valued measures and integration (46G10) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (21)

SIC-POVMs from Stark units: Prime dimensions n2 + 3 ⋮ The varieties of minimal tomographically complete measurements ⋮ SICs: some explanations ⋮ Dimension towers of SICS: II. Some constructions ⋮ Entanglement criterion via general symmetric informationally complete measurement ⋮ Tight frames, Hadamard matrices and Zauner’s conjecture ⋮ Constructing exact symmetric informationally complete measurements from numerical solutions ⋮ Frames over finite fields: basic theory and equiangular lines in unitary geometry ⋮ Towards a classification of incomplete Gabor POVMs in ℂ ^d ⋮ Equiangular tight frames from group divisible designs ⋮ The decompositions of Werner and isotropic states ⋮ Optimality of T-gate for generating magic resource ⋮ Optimal arrangements of classical and quantum states with limited purity ⋮ Dimension towers of SICs. I. Aligned SICs and embedded tight frames ⋮ A new construction of approximately SIC-POVMs derived from Jacobi sums over finite fields ⋮ Two new constructions of approximately SIC-POVMs from multiplicative characters ⋮ Construction of \(\varepsilon_d\)-ASIC-POVMs via 2-to-1 PN functions and the Li bound ⋮ Entanglement properties of multipartite informationally complete quantum measurements ⋮ Optimal quantum tomography with constrained measurements arising from unitary bases ⋮ Simplified exact SICS ⋮ Aligned SICs and embedded tight frames in even dimensions

Uses Software

• Magma
• OEIS

Cites Work

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• Finite frames. Theory and applications.
• Quantum measurement
• The Magma algebra system. I: The user language
• 64 lines from a quaternionic polytope
• The number behind the simplest SIC-POVM
• QUANTUM DESIGNS: FOUNDATIONS OF A NONCOMMUTATIVE DESIGN THEORY
• Tight informationally complete quantum measurements
• Symmetric informationally complete–positive operator valued measures and the extended Clifford group
• Tomography of Quantum States in Small Dimensions
• Dimension towers of SICs. I. Aligned SICs and embedded tight frames
• Symmetric informationally complete quantum measurements
• Symmetric informationally complete positive-operator-valued measures: A new computer study

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