Dissipative Universal Lindbladian Simulation

TL;DR

This paper introduces a dissipation-assisted protocol enabling the simulation of any Lindbladian Markovian dynamics by coherently coupling a quantum system to dissipative qubits, leveraging virtual-dissipative processes for precise control.

Contribution

It presents a novel method to simulate general Lindbladian dynamics using dissipation-assisted virtual processes, expanding quantum simulation capabilities.

Findings

Effective Liouvillian generators can be engineered via high-order virtual-dissipative processes.

The protocol enables exact simulation of Lindbladian dynamics in the limit of fast dissipation.

Application examples include simulating collective decoherence phenomena.

Abstract

It is by now well understood that quantum dissipative processes can be harnessed and turned into a resource for quantum-information processing tasks. In this paper we demonstrate yet another way in which this is true by providing a dissipation-assisted protocol for the simulation of general Markovian dynamics. More precisely, we show how a suitable coherent coupling of a quantum system to a set of Markovian dissipating qubits allows one to enact an effective Liouvillian generator of any Lindbladian form. This effective dynamical generator arises from high-order virtual-dissipative processes and governs the system dynamics exactly in the limit of infinitely fast dissipation. Applications to the simulation of collective decoherence are discussed as an illustration.