SKM 2023 – wissenschaftliches Programm
DY 9.8: Vortrag
Montag, 27. März 2023, 16:00–16:15, MOL 213
Simulating Non-Markovian Qubit Dynamics on a Quantum Processor — •Mirko Rossini, Dominik Maile, Joachim Ankerhold, and Brecht Donvil — Institute for Complex Quantum Systems and IQST
We propose a novel scheme to simulate the open system dynamics of a qubit. We go beyond the completely positive framework and consider linear, trace and Hermicity-preserving but not necessarily positivity-preserving evolution maps. We call these maps general dynamical maps. These maps naturally arise as the solution of general time-local master equations and for finite-dimensional systems they can always be decomposed as the difference between two completely positivity maps. We bring this difference into a form suitable for quantum simulation.
We illustrate our scheme by implementing two examples on IBMQ quantum processors: in the first example, we simulate the evolution of a general time local master equation both from an initial time when the evolution map is guaranteed to be completely positive and from an intermediate time when it is not. With our second example, we show that the simulation of non-completely positive maps gives the ability to recover the initial state of Lindbladian evolution.