Normal form decomposition for Gaussian-to-Gaussian superoperators

DOI10.1063/1.4921265zbMath1316.81013arXiv1502.01870OpenAlexW2099180820WikidataQ59472470 ScholiaQ59472470MaRDI QIDQ5253080

A. Mari, Giacomo De Palma, Vittorio Giovannetti, Alexandr S. Holevo

Publication date: 4 June 2015

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

Full work available at URL: https://arxiv.org/abs/1502.01870

zbMATH Keywords

quantum computationquantum communicationquantum cryptographynormal form decompositionGaussian quantum statesGaussian-to-Gaussian superoperators

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Coherent states (81R30) Channel models (including quantum) in information and communication theory (94A40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (10)

On Characterization of Quantum Gaussian Measurement Channels ⋮ Maximum information gain of approximate quantum position measurement ⋮ Contractivity properties of a quantum diffusion semigroup ⋮ On a Characterization of Gaussian Transition Operators ⋮ Approximate reversal of quantum Gaussian dynamics ⋮ Maximally entangled states in discrete and Gaussian regimes ⋮ Approximate reversal of quantum Gaussian dynamics ⋮ Some evolution formulas on the optical fields propagation in realistic environments ⋮ Irreversible quantum evolution with quadratic generator: Review ⋮ On Gaussian transition operators

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• The power of noisy fermionic quantum computation

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