# May a dissipative environment be beneficial for quantum annealing?

## TL;DR

This paper investigates how a low-temperature dissipative environment can enhance quantum annealing performance in solving the Grover's problem, revealing potential benefits of environmental coupling.

## Contribution

It demonstrates that a zero-temperature reservoir can improve quantum annealing efficiency, challenging the notion that dissipation is solely detrimental.

## Key findings

- Thermal enhancement observed with zero-temperature environment
- Moderate coupling to the environment benefits quantum annealing
- Dissipation can be advantageous in quantum optimization

## Abstract

We discuss the quantum annealing of the fully-connected ferromagnetic $ p $-spin model in a dissipative environment at low temperature. This model, in the large $ p $ limit, encodes in its ground state the solution to the Grover's problem of searching in unsorted databases. In the framework of the quantum circuit model, a quantum algorithm is known for this task, providing a quadratic speed-up with respect to its best classical counterpart. This improvement is not recovered in adiabatic quantum computation for an isolated quantum processor. We analyze the same problem in the presence of a low-temperature reservoir, using a Markovian quantum master equation in Lindblad form, and we show that a thermal enhancement is achieved in the presence of a zero temperature environment moderately coupled to the quantum annealer.