Quantum

Driven-Dissipative Ground State Preparation: Mixing Time and Randomness

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Briefings

This article presents a new class of driven-dissipative protocols for ground state preparation that bypass the need for large initial overlaps with the target ground state. The method employs randomized Lindbladians where jump operators are derived from averaged unitary evolutions of random matrices under a fixed Hamiltonian. The authors demonstrate that these time-varying protocols successfully drive arbitrary initial density matrices to low energy states. The mixing time bounds are determined solely by the Hamiltonian's eigenvalue distribution, ensuring validity even for cold-start conditions.

Key points

• The study introduces driven-dissipative protocols using time-varying generators based on averaged unitary evolutions of random matrices.
• Mixing time bounds depend exclusively on the Hamiltonian's eigenvalue distribution, independent of the initial state's overlap with the ground state.

Context and limitations

The results apply to cold-start conditions and rely on the specific eigenvalue distribution of the Hamiltonian used in the averaging process.

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