Unbiasing time-dependent Variational Monte Carlo by projected quantum evolution
| Autor: | Sinibaldi, Alessandro, Giuliani, Clemens, Carleo, Giuseppe, Vicentini, Filippo |
|---|---|
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Quantum 7, 1131 (2023) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.22331/q-2023-10-10-1131 |
| Popis: | We analyze the accuracy and sample complexity of variational Monte Carlo approaches to simulate the dynamics of many-body quantum systems classically. By systematically studying the relevant stochastic estimators, we are able to: (i) prove that the most used scheme, the time-dependent Variational Monte Carlo (tVMC), is affected by a systematic statistical bias or exponential sample complexity when the wave function contains some (possibly approximate) zeros, an important case for fermionic systems and quantum information protocols; (ii) show that a different scheme based on the solution of an optimization problem at each time step is free from such problems; (iii) improve the sample complexity of this latter approach by several orders of magnitude with respect to previous proofs of concept. Finally, we apply our advancements to study the high-entanglement phase in a protocol of non-Clifford unitary dynamics with local random measurements in 2D, first benchmarking on small spin lattices and then extending to large systems. Comment: 8+6 pages, 6 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|