Probing phases of quantum matter with an ion-trap tensor-network quantum eigensolver
Abstract
Tensor-Network (TN) states are efficient parametric representations of ground states of local quantum Hamiltonians extensively used in numerical simulations. Here we encode a TN ansatz state directly into a quantum simulator, which can potentially offer an exponential advantage over purely numerical simulation. In particular, we demonstrate the optimization of a quantum-encoded TN ansatz state using a variational quantum eigensolver on an ion-trap quantum computer by preparing the ground states of the extended Su-Schrieffer-Heeger model. The generated states are characterized by estimating the topological invariants, verifying their topological order. Our TN encoding as a trapped ion circuit employs only single-site addressing optical pulses - the native operations naturally available on the platform. We reduce nearest-neighbor crosstalk by selecting different magnetic sublevels with well-separated transition frequencies to encode even and odd qubits.
Cite
@article{arxiv.2203.13271,
title = {Probing phases of quantum matter with an ion-trap tensor-network quantum eigensolver},
author = {Michael Meth and Viacheslav Kuzmin and Rick van Bijnen and Lukas Postler and Roman Stricker and Rainer Blatt and Martin Ringbauer and Thomas Monz and Pietro Silvi and Philipp Schindler},
journal= {arXiv preprint arXiv:2203.13271},
year = {2023}
}
Comments
17 pages, 14 figures