Quantum states from normalizing flows

• URL: http://arxiv.org/abs/2406.02451v1
• Date: Tue, 4 Jun 2024 16:16:58 GMT
• Title: Quantum states from normalizing flows
• Authors: Scott Lawrence, Arlee Shelby, Yukari Yamauchi,
• Abstract summary: We introduce an architecture for neural quantum states for many-body quantum-mechanical systems, based on normalizing flows. We demonstrate the use of this architecture for both ground-state preparation and real-time evolution.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We introduce an architecture for neural quantum states for many-body quantum-mechanical systems, based on normalizing flows. The use of normalizing flows enables efficient uncorrelated sampling of configurations from the probability distribution defined by the wavefunction, mitigating a major cost of using neural states in simulation. We demonstrate the use of this architecture for both ground-state preparation (for self-interacting particles in a harmonic trap) and real-time evolution (for one-dimensional tunneling). Finally, we detail a procedure for obtaining rigorous estimates of the systematic error when using neural states to approximate quantum evolution.

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