Operator valued frames and structured quantum channels

DOI10.1007/s11425-011-4292-8zbMath1245.42024OpenAlexW2265572646MaRDI QIDQ424876

Bin Meng, Wai-Shing Tang, Peng Tong Li, De Guang Han

Publication date: 7 June 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4292-8

zbMATH Keywords

quantum channeloperator-valued frameParseval dualprojective unitary representation

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) General harmonic expansions, frames (42C15)

Related Items (19)

Wandering operators for unitary systems of Hilbert spaces ⋮ \(K\)-fusion frames and the corresponding generators for unitary systems ⋮ Surgery of frames in Hilbert spaces ⋮ Gabor duals for operator-valued Gabor frames on locally compact abelian groups ⋮ Wavelet frames in \(L^2(\mathbb{R}^{d})\) ⋮ Orbit-injective covariant quantum channels ⋮ Dilations of dual \(g\)-frame generators for an abstract wavelet system ⋮ On the sum of \(g\)-frames and their stability in Hilbert spaces ⋮ Unnamed Item ⋮ Positive operator-valued measures and densely defined operator-valued frames ⋮ On weaving g-frames for Hilbert spaces ⋮ The Banach spaces associated with g-frames ⋮ Phase-retrievable operator-valued frames and representations of quantum channels ⋮ Decomposition of Analysis Operators and Frame Ranges for Continuous Frames ⋮ Factorable weak operator-valued frames ⋮ Characterizing the R-duality of g-frames ⋮ Characterizations of the dilation of frame generator dual pairs for group ⋮ On symmetric decompositions of positive operators ⋮ Guided wave characteristics in functionally graded piezoelectric rings with rectangular cross-sections

Cites Work

• On the geometric interpretation of single qubit quantum operations on the Bloch sphere
• Complex equiangular cyclic frames and erasures
• Optimal linear transmission by loss-insensitive packet encoding
• Fusion frames and distributed processing
• The existence of tight Gabor duals for Gabor frames and subspace Gabor frames
• Dilations and completions for Gabor systems
• Optimal dual frames for erasures
• Completely positive linear maps on complex matrices
• Equal-norm tight frames with erasures
• \(g\)-frames and \(g\)-Riesz bases
• Wandering vector multipliers for unitary groups
• Frame representations and Parseval duals with applications to Gabor frames
• Operator-valued frames
• Frames, bases and group representations
• Geometrically uniform frames
• Approximations for Gabor and wavelet frames
• Optimal estimation of one-parameter quantum channels
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Operator valued frames and structured quantum channels