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Time Evolution of Uniform Sequential Circuits
- Source :
- Phys. Rev. Research 5, 033187 (2023)
- Publication Year :
- 2022
-
Abstract
- Simulating time evolution of generic quantum many-body systems using classical numerical approaches has an exponentially growing cost either with evolution time or with the system size. In this work, we present a polynomially scaling hybrid quantum-classical algorithm for time evolving a one-dimensional uniform system in the thermodynamic limit. This algorithm uses a layered uniform sequential quantum circuit as a variational ansatz to represent infinite translation-invariant quantum states. We show numerically that this ansatz requires a number of parameters polynomial in the simulation time for a given accuracy. Furthermore, this favourable scaling of the ansatz is maintained during our variational evolution algorithm. All steps of the hybrid optimization are designed with near-term digital quantum computers in mind. After benchmarking the evolution algorithm on a classical computer, we demonstrate the measurement of observables of this uniform state using a finite number of qubits on a cloud-based quantum processing unit. With more efficient tensor contraction schemes, this algorithm may also offer improvements as a classical numerical algorithm.<br />Comment: 19 pages, 14 figures
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. Research 5, 033187 (2023)
- Publication Type :
- Report
- Accession number :
- edsarx.2210.03751
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevResearch.5.033187