Bulletin of the American Physical Society
APS March Meeting 2020
Volume 65, Number 1
Monday–Friday, March 2–6, 2020; Denver, Colorado
Session A09: Algorithms and Architecture for Quantum Information I
8:00 AM–11:00 AM,
Monday, March 2, 2020
Sponsoring Unit: DQI
Chair: Yunseong Nam, IONQ
Abstract: A09.00011 : A size-extensive scheme for variational quantum ansatzes without Trotter approximation*
View Presentation Abstract
In this work, we resolve this conflict by developing a framework for physically motivated ansatzes, which is fundamentally digital and thereby involves no Trotter errors. Using the stabilizer formalism, we construct a family of digital ansatzes that provably cover the entire Hilbert space with a minimal number of parameters. We show how to compress such parent ansatzes into practical child ansatzes that target specific systems, following the principle of size-extensivity. For this purpose, we develop a convenient diagrammatic approach. We apply our method numerically to the quantum Ising chain, with good convergence outside the critical regime.
*This work was funded by the Netherlands Organization for Scientific Research (NWO/OCW), an ERC Synergy Grant, and Shell Global Solutions BV.
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