The role of frame force in quantum detection
From MaRDI portal
Publication:929331
DOI10.1007/s00041-008-9017-1zbMath1152.42006OpenAlexW2132950247MaRDI QIDQ929331
Andrew Kebo, John J. Benedetto
Publication date: 17 June 2008
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00041-008-9017-1
Numerical methods for wavelets (65T60) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum measurement theory, state operations, state preparations (81P15) General harmonic expansions, frames (42C15) Nontrigonometric harmonic analysis (42C99) Differential equations in abstract spaces (34G99)
Related Items
Equiangular quantum key distribution in more than two dimensions ⋮ Gradient Flows for Probabilistic Frame Potentials in the Wasserstein Space ⋮ The role of frame force in quantum detection ⋮ Generalized Fourier frames in terms of balayage ⋮ Universal optimal configurations for the \(p\)-frame potentials ⋮ Frame multiplication theory and a vector-valued DFT and ambiguity function ⋮ The solution to the frame quantum detection problem ⋮ Two-sided bounds on minimum-error quantum measurement, on the reversibility of quantum dynamics, and on maximum overlap using directional iterates
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Decoherence due to thermal effects in two quintessential quantum systems
- Second-order sigma-delta (\(\Sigma \Delta\)) quantization of finite frame expansions
- The role of frame force in quantum detection
- Orthogonal and projected orthogonal matched filter detection
- A generalization of Gram-Schmidt orthogonalization generating all Parseval frames
- Geometric approach to a dilation theorem
- Grassmannian frames with applications to coding and communication
- Optimal frames for erasures.
- Least-squares inner product shaping
- Tight frames and their symmetries
- Finite normalized tight frames
- Equal-norm tight frames with erasures
- Positive operator valued measure in quantum information processing
- Testing alternative theories of gravity using LISA
- Geometrically uniform codes
- Sigma-delta (/spl Sigma//spl Delta/) quantization and finite frames
- Painless nonorthogonal expansions
- Ten Lectures on Wavelets
- Optimum testing of multiple hypotheses in quantum detection theory
- Optimal distinction between non-orthogonal quantum states
- A ‘Pretty Good’ Measurement for Distinguishing Quantum States
- Quantum cryptography using any two nonorthogonal states
- On quantum detection and the square-root measurement
- Optimal tight frames and quantum measurement
- Systematic design of unitary space-time constellations
- A Multiscale Image Representation Using Hierarchical (BV,L2) Decompositions
- Dynamic matched filters for gravitational wave detection
- A semidefinite programming approach to optimal unambiguous discrimination of quantum states
- Geometrically uniform frames
- Designing optimal quantum detectors via semidefinite programming
- Shannon sampling and function reconstruction from point values
- Remarks on Naimark’s duality
- A Class of Nonharmonic Fourier Series
- Quantized frame expansions with erasures
