title: Quantum Simulation of Dissipative Processes without Reservoir Engineering.
abstract: We present a quantum algorithm to simulate general finite dimensional Lindblad master equations without the requirement of engineering the system-environment interactions. The proposed method is able to simulate both Markovian and non-Markovian quantum dynamics. It consists in the quantum computation of the dissipative corrections to the unitary evolution of the system of interest, via the reconstruction of the response functions associated with the Lindblad operators. Our approach is equally applicable to dynamics generated by effectively non-Hermitian Hamiltonians. We confirm the quality of our method providing specific error bounds that quantify its accuracy.
authors.affiliation: Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain.
authors.forename: R
authors.initials: R
authors.lastname: Di Candia
authors.affiliation: Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain.
authors.forename: J S
authors.initials: JS
authors.lastname: Pedernales
authors.affiliation: 1] Department of Physics, University of Massachusetts, Boston, MA 02125, USA [2] Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA [3] Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545, USA.
authors.forename: A
authors.initials: A
authors.lastname: del Campo
authors.affiliation: 1] Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain [2] IKERBASQUE, Basque Foundation for Science, Maria Diaz de Haro 3, 48013 Bilbao, Spain.
authors.forename: E
authors.initials: E
authors.lastname: Solano
authors.affiliation: 1] Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain [2] Institut für Theoretische Physik, Albert-Einstein-Allee 11, Universität Ulm, D-89069 Ulm, Germany.
authors.forename: J
authors.initials: J
authors.lastname: Casanova