Non-Markovianity and memory of the initial state

Hinarejos, M.; Bañuls, Mari Carmen; Perez, A.; Vega, Inés de

doi:10.1088/1751-8121/aa7972

Cited by 6 publications

(3 citation statements)

References 59 publications

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“…We show how from the α-fidelity of the initial environmental states we can infer certain properties of the induced dynamics, such as information back-flow (non-Markovianity). Importantly, back-flow of information can be used to protect and restore vital quantum properties of the system subjected to detrimental noise [44][45][46].…”

Section: Bounds For the Loschmidt Echomentioning

confidence: 99%

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Fidelity of dynamical maps

et al. 2017

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We introduce the concept of fidelity for dynamical maps in an open quantum system scenario. We derive an inequality linking this quantity to the distinguishability of the inducing environmental states. Our inequality imposes constraints on the allowed set of dynamical maps arising from the microscopic description of system plus environment. Remarkably, the inequality involves only the states of the environment and the dynamical map of the open system and, therefore, does not rely on the knowledge of either the microscopic interaction Hamiltonian or the environmental Hamiltonian characteristic parameters. We demonstrate the power of our result by applying it to two different scenarios: quantum programming and quantum probing. In the first case we use it to derive bounds on the dimension of the processor for approximate programming of unitaries. In the second case we present an intriguing proof-of-principle demonstration of the ability to extract information on the environment via a quantum probe without any a priori assumption on the form of the system-environment coupling Hamiltonian.Comment: 16 pages, 5 figures. Final ver 2: A substancial amount of new material including 1 new figure was adde

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Section: Bounds For the Loschmidt Echomentioning

confidence: 99%

“…Also, by using the same temperatures T 1 , T 2 and varying the frequency value in Eq. (46) we can plot the l.h.s. of Ineq.…”

Section: Appendix Bmentioning

confidence: 99%

Fidelity of dynamical maps

et al. 2017

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“…Previous studies of non-Markovianity in the spin-boson model used perturbative approaches or focused on special parameter regimes such as higher temperature. [18][19][20][21][22] We also mention a path-integral study of non-Markovianity in a related model, 23 albeit for finite temperature, and a very recent, similar investigation in the integrable model of quantum Brownian motion. 24 The spin-boson model, which involves a two-level system (or spin) interacting linearly with a bath of harmonic oscillators, is a paradigmatic model to describe dissipative quantum dynamics.…”

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confidence: 99%