Dissipative Preparation of Many-Body Quantum States: Towards 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.

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• Energy Spectra of Compressed Quantum States
• Efficient and simple Gibbs state preparation of the 2D toric code via duality to classical Ising chains
• Trajectory-independent speed limits for controlled open quantum systems
• Generation of Volume-Law Entanglement by Local-Measurement-Only Quantum Dynamics
• Open Quantum Systems Driven by Chirped Pulses: Quantized versus Semiclassical Fields and the Validity of the Rotating-Wave Approximation