Realization schemes for quantum instruments in finite dimensions

DOI10.1063/1.3105923zbMath1214.81026arXiv0810.3211OpenAlexW2107319389WikidataQ62040240 ScholiaQ62040240MaRDI QIDQ3650486

Giulio Chiribella, Paolo Perinotti, Giacomo Mauro D'ariano

Publication date: 14 December 2009

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

Full work available at URL: https://arxiv.org/abs/0810.3211

zbMATH Keywords

quantum theoryHilbert spacesteleportationmeasurement theory

Mathematics Subject Classification ID

Quantum computation (81P68) Quantum measurement theory, state operations, state preparations (81P15) Applications of functional analysis in quantum physics (46N50) Operator algebra methods applied to problems in quantum theory (81R15) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (5)

Amortized channel divergence for asymptotic quantum channel discrimination ⋮ Amortized entanglement of a quantum channel and approximately teleportation-simulable channels ⋮ Theoretical framework for quantum networks ⋮ Modules and extremal completely positive maps ⋮ Conditional probability framework for entanglement and its decoupling from tensor product structure

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• General state changes in quantum theory
• States, effects, and operations. Fundamental notions of quantum theory. Lectures in mathematical physics at the University of Texas at Austin. Ed. by A. Böhm, J. D. Dollard and W. H. Wootters
• Completely positive linear maps on complex matrices
• Quantum dynamical semigroups and the neutron diffusion equation
• Optimal realization of the transposition maps
• An operational approach to quantum probability
• Linear transformations which preserve trace and positive semidefiniteness of operators
• All teleportation and dense coding schemes
• How Continuous Quantum Measurements in Finite Dimensions Are Actually Discrete
• Concepts of conditional expectations in quantum theory
• Optimal cloning of pure states, testing single clones
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Radon–Nikodym derivatives of quantum instruments
• Positive Functions on C ∗ -Algebras
• A quantum measurement of the spin direction

This page was built for publication: Realization schemes for quantum instruments in finite dimensions