Dissipative Preparation of Many-Body Quantum States: Towards Practical Quantum Advantage

TL;DR

This paper explores how engineered dissipation can be used as a resource to prepare complex many-body quantum states, potentially enabling practical quantum advantage on early quantum computers.

Contribution

It introduces algorithms based on Lindblad generators for preparing ground and thermal states with performance guarantees, and extends these protocols to excited states.

Findings

Protocols successfully prepare ground and thermal states with guarantees.

Extensions enable preparation of excited and resonance states.

Potential pathway to practical quantum advantage.

Abstract

While dissipation has traditionally been viewed as an obstacle to quantum coherence, it is increasingly recognized as a powerful computational resource. Dissipative protocols can prepare complex many-body quantum states by leveraging engineered system-environment interactions. This essay focuses on a class of algorithms that utilize algorithmically constructed Lindblad generators, and highlight recent advances enabling the preparation of ground and thermal states for certain non-commuting Hamiltonians with rigorous performance guarantees. We also propose extensions of these protocols to prepare excited and resonance states, which may offer new pathways toward realizing practical quantum advantage on early fault-tolerant quantum computing platforms.