Southwest Quantum Information and Technology

Entanglement from tensor networks on a trapped-ion QCCD quantum computer

Presenting Author: Michael Foss-Feig, Honeywell
Contributing Author(s): Stephen Ragole, Andrew Potter, Joan Dreiling, Caroline Figgatt, John Gaebler, Alex Hall, Steven Moses, Juan Pino, Ben Spaun, Brian Neyenhuis, David Hayes

The ability to selectively measure, initialize, and reuse qubits during a quantum circuit is a crucial ingredient in scalable (error-corrected) quantum computation. Recently, it has been realized that these tools also enable "holographic" algorithms that map the spatial structure of certain tensor-network states onto the dynamics of a quantum circuit, thereby achieving dramatic resource savings when using a quantum computer to simulate many-body systems with limited entanglement. Here we explore another significant benefit of the holographic approach to quantum simulation: The entanglement structure of an infinite system, specifically the half-chain entanglement spectrum, can be extracted from a data-compressed register of "bond qubits" encoding a matrix-product state. We demonstrate this idea experimentally on a trapped-ion QCCD quantum computer by computing the near-critical entanglement entropy of the transverse-field Ising model directly in the thermodynamic limit, and show that the phase transition becomes very quickly resolved upon expanding the bond qubit register.

Read this article online: https://arxiv.org/pdf/2104.11235.pdf

(Session 5 : Thursday from 12:00pm-2:00 pm)