Control of quantum noise: on the role of dilations

Autor:	Daniel Burgarth, Paolo Facchi, Robin Hillier
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Nuclear and High Energy Physics Physics::General Physics Quantum Physics Mathematics::Operator Algebras FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) Quantum Physics (quant-ph) 81Q93 (primary) 46L60 47A20 81P16 81P45 (secondary) Mathematical Physics
Popis:	We show that every finite-dimensional quantum system with Markovian (i.e., GKLS-generated) time evolution has an autonomous unitary dilation which can be dynamically decoupled. Since there is also always an autonomous unitary dilation which cannot be dynamically decoupled, this highlights the role of dilations in the control of quantum noise. We construct our dilation via a time-dependent version of Stinespring in combination with Howland's clock Hamiltonian and certain point-localised states, which may be regarded as a C*-algebraic analogue of improper bra-ket position eigenstates and which are hence of independent mathematical and physical interest. 18p, to appear in Ann. H. Poincar\'e
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4274772e065f371c78b71086bc6c1b62 http://arxiv.org/abs/2010.00279 Zobrazit plný text záznamu