Construction of \(\varepsilon_d\)-ASIC-POVMs via 2-to-1 PN functions and the Li bound
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Publication:6191093
DOI10.1016/j.ffa.2024.102388arXiv2310.06418MaRDI QIDQ6191093
Publication date: 6 March 2024
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2310.06418
\(\varepsilon_d\)-approximately symmetric informationally complete positive operator-valued measures (\(\varepsilon_d\)-ASIC-POVMs)2-to-1 perfect nonlinear (PN) functionsLi bound
Quantum measurement theory, state operations, state preparations (81P15) Other character sums and Gauss sums (11T24) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- G-perfect nonlinear functions
- Character sums and abelian Ramanujan graphs (with an appendix by Keqin Feng and Wen-Ch'ing Winnie Li)
- Norms of minimal projections
- 64 lines from a quaternionic polytope
- Grassmannian frames with applications to coding and communication
- Two new constructions of approximately SIC-POVMs from multiplicative characters
- New constructions of approximately SIC-POVMs via difference sets
- Highly nonlinear mappings
- Tremain equiangular tight frames
- Perfect nonlinear functions and cryptography
- Equiangular lines
- A new construction of approximately SIC-POVMs derived from Jacobi sums over finite fields
- Quantum state tomography with informationally complete POVMs generated in the time domain
- Gaussian sums, hyper Eisenstein sums and Jacobi sums over a local ring and their applications
- Further projective binary linear codes derived from two-to-one functions and their duals
- Construction of all general symmetric informationally complete measurements
- QUANTUM DESIGNS: FOUNDATIONS OF A NONCOMMUTATIVE DESIGN THEORY
- The monomial representations of the Clifford group
- Tight informationally complete quantum measurements
- Symmetric informationally complete–positive operator valued measures and the extended Clifford group
- On approximately symmetric informationally complete positive operator-valued measures and related systems of quantum states
- Tomography of Quantum States in Small Dimensions
- SIC POVMs and Clifford groups in prime dimensions
- Lower bounds on the maximum cross correlation of signals (Corresp.)
- Constructing exact symmetric informationally complete measurements from numerical solutions
- New Constructions of Asymptotically Optimal Codebooks With Multiplicative Characters
- Fibonacci-Lucas SIC-POVMs
- Two Constructions of Asymptotically Optimal Codebooks via the Hyper Eisenstein Sum
- Constructions of biangular tight frames and their relationships with equiangular tight frames
- Unknown quantum states: The quantum de Finetti representation
- Symmetric informationally complete quantum measurements
- Mutually Unbiased Equiangular Tight Frames
- Further Study of 2-to-1 Mappings Over F2n
- 利用Gauss 和与Jacobi 和构造近似MUB 和SIC-POVM
- SIC-POVMs and the Stark Conjectures
- On Two-to-One Mappings Over Finite Fields
- Symmetric informationally complete positive-operator-valued measures: A new computer study
- The Lie algebraic significance of symmetric informationally complete measurements
- Two constructions of approximately symmetric informationally complete positive operator-valued measures
- Conditional SIC-POVMs
- Computing Equiangular Lines in Complex Space