Weighted complex projective 2-designs from bases: Optimal state determination by orthogonal measurements
From MaRDI portal
Publication:3529797
DOI10.1063/1.2748617zbMath1144.81405arXivquant-ph/0703025OpenAlexW3101372095MaRDI QIDQ3529797
Publication date: 14 October 2008
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0703025
Quantum computation (81P68) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Quantum measurement theory, state operations, state preparations (81P15)
Related Items (28)
Constructing commutative semifields of square order ⋮ Achieving the orthoplex bound and constructing weighted complex projective 2-designs with Singer sets ⋮ Equioverlapping measurements ⋮ Mutually orthogonal Latin squares and mutually unbiased bases in dimensions of odd prime power MOLS and mubs in odd prime power dimensions ⋮ Toward the classification of biangular harmonic frames ⋮ Properties of tight frames that are regular schemes ⋮ The curious nonexistence of Gaussian 2-designs ⋮ Spherical \((t,t)\)-designs with a small number of vectors ⋮ A short history of frames and quantum designs ⋮ Low coherence unit norm tight frames ⋮ On mutually orthogonal extraordinary supersquares ⋮ Complex Spherical Designs and Codes ⋮ Geometry of the Welch bounds ⋮ DIAGONAL-UNITARY 2-DESIGN AND THEIR IMPLEMENTATIONS BY QUANTUM CIRCUITS ⋮ Welch bounds for cross correlation of subspaces and generalizations ⋮ Bounds for codes and designs in complex subspaces ⋮ Entanglement properties of multipartite informationally complete quantum measurements ⋮ Constructions of biangular tight frames and their relationships with equiangular tight frames ⋮ Nice error frames, canonical abstract error groups and the construction of SICs ⋮ Schmidt rank constraints in quantum information theory ⋮ Spherical half-designs of high order ⋮ Construction ofk-Angle Tight Frames ⋮ Symmetric informationally complete positive-operator-valued measures: A new computer study ⋮ The Lie algebraic significance of symmetric informationally complete measurements ⋮ MUBs inequivalence and affine planes ⋮ Equiangular Frames and Their Duals ⋮ Symplectic spreads, planar functions, and mutually unbiased bases ⋮ How many mutually unbiased bases are needed to detect bound entangled states?
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- t-designs in projective spaces
- Tight t-designs and squarefree integers
- Parameters of t-designs in \({\mathbb{F}}P^{d-1}\)
- A survey of finite algebraic geometrical structures underlying mutually unbiased quantum measurements
- The limitations of nice mutually unbiased bases
- On tight t-designs in compact symmetric spaces of rank one
- Averaging sets: A generalization of mean values and spherical designs
- Tight 4 and 5-designs in projective spaces
- Coexistence of observables
- \(t\)-designs with general angle set
- Designs as maximum codes in polynomial metric spaces
- Spherical codes and designs
- Information-theoretical aspects of quantum measurement
- Discrete quadrature and bounds on t-designs
- Reconstruction of quantum states of spin systems: From quantum Bayesian inference to quantum tomography
- Necessary conditions for existence of some designs in polynomial metric spaces
- On lower bounds on the size of designs in compact symmetric spaces of rank 1
- 64 lines from a quaternionic polytope
- Nonlinear functions in abelian groups and relative difference sets.
- On designs in compact metric spaces and a universal bound on their size
- Highly nonlinear mappings
- A new proof for the existence of mutually unbiased bases
- McLaren's improved snub cube and other new spherical designs in three dimensions
- Quantum measurements and finite geometry
- There is no generalization of known formulas for mutually unbiased bases
- Description of States in Quantum Mechanics by Density Matrix and Operator Techniques
- On SIC-POVMs in prime dimensions
- 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
- Evenly distributed unitaries: On the structure of unitary designs
- Mutually unbiased bases and Hadamard matrices of order six
- The weight distribution of a class of linear codes from perfect nonlinear functions
- Painless nonorthogonal expansions
- Complex sequences with low periodic correlations (Corresp.)
- Lower bounds on the maximum cross correlation of signals (Corresp.)
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- Z4 -Kerdock Codes, Orthogonal Spreads, and Extremal Euclidean Line-Sets
- Differentially 2-Uniform Cocycles — The Binary Case
- Quantum-State Tomography and Discrete Wigner Function
- Optimal Extraction of Information from Finite Quantum Ensembles
- Minimal Optimal Generalized Quantum Measurements
- Universal Algorithm for Optimal Estimation of Quantum States from Finite Ensembles via Realizable Generalized Measurement
- Symmetric informationally complete quantum measurements
- The Quantum Theory of Measurement
- Mutually Unbiased Bases and the Complementarity Polytope
- Definitions for spherical designs
This page was built for publication: Weighted complex projective 2-designs from bases: Optimal state determination by orthogonal measurements
