Entanglement from tensor networks on a trapped-ion QCCD quantum computer
Abstract
The ability to selectively measure, initialize, and reuse qubits during a quantum circuit enables a mapping of the spatial structure of certain tensor-network states onto the dynamics of quantum circuits, thereby achieving dramatic resource savings when using a quantum computer to simulate many-body systems with limited entanglement. We experimentally demonstrate a significant benefit of this approach to quantum simulation: In addition to all correlation functions, the entanglement structure of an infinite system -- specifically the half-chain entanglement spectrum -- is conveniently encoded within a small register of "bond qubits" and can be extracted with relative ease. Using a trapped-ion QCCD quantum computer equipped with selective mid-circuit measurement and reset, we quantitatively determine the near-critical entanglement entropy of a correlated spin chain directly in the thermodynamic limit and show that its phase transition becomes quickly resolved upon expanding the bond-qubit register.
Cite
@article{arxiv.2104.11235,
title = {Entanglement from tensor networks on a trapped-ion QCCD quantum computer},
author = {Michael Foss-Feig and Stephen Ragole and Andrew Potter and Joan Dreiling and Caroline Figgatt and John Gaebler and Alex Hall and Steven Moses and Juan Pino and Ben Spaun and Brian Neyenhuis and David Hayes},
journal= {arXiv preprint arXiv:2104.11235},
year = {2022}
}
Comments
5 pages + supplemental material