2018/10/22 by Fabio Benatti, F Benatti, Luca Ferialdi +3
Computer Science · Physics and Astronomy · #Coupling (piping) #Gaussian #Limit (mathematics) #Markov process #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #Quantum entanglement #Qubit #Squashed entanglement #quant-ph
paper · pdf · doi:10.1088/1751-8121/aaea13
published as J. Phys. A: Math. Theor. 52, 035305 (2019)
openalex publication_date 2018/10/22 · openalex created_date 2018/10/26 · arxiv created 2019/01/10 · arxiv updated 2019/01/11 · openalex updated_date 2026/08/05
Abstract We consider two qubits interacting with a common bosonic bath, but not directly between themselves. We derive the (bipartite) entanglement generation conditions for Gaussian non-Markovian dynamical maps and show that they are similar as in the Markovian regime. However, they depend on different physical coefficients and hold on different time scales. Indeed, for small times, in the non-Markovian regime entanglement is possibly generated on a shorter time scale ( ) than in the Markovian regime ( ). Moreover, although the singular coupling limit of non-Markovian dynamics yields Markovian ones, we show that the same limit does not lead from non-Markovian entanglement generation conditions to Markovian ones. Also, entanglement generation conditions do not depend on the initial time for non-Markovian open dynamics resulting from couplings to bosonic Gaussian baths, while they may depend on time for open dynamics originated by couplings to classical, stochastic Gaussian environments.