Scaling advantage in quantum simulation of geometrically frustrated magnets

Bibliographic Details
Title: Scaling advantage in quantum simulation of geometrically frustrated magnets
Authors: King, Andrew D., Raymond, Jack, Lanting, Trevor, Isakov, Sergei V., Mohseni, Masoud, Poulin-Lamarre, Gabriel, Ejtemaee, Sara, Bernoudy, William, Ozfidan, Isil, Smirnov, Anatoly Yu., Reis, Mauricio, Altomare, Fabio, Babcock, Michael, Baron, Catia, Berkley, Andrew J., Boothby, Kelly, Bunyk, Paul I., Christiani, Holly, Enderud, Colin, Evert, Bram, Harris, Richard, Hoskinson, Emile, Huang, Shuiyuan, Jooya, Kais, Khodabandelou, Ali, Ladizinsky, Nicolas, Li, Ryan, Lott, P. Aaron, MacDonald, Allison J. R., Marsden, Danica, Marsden, Gaelen, Medina, Teresa, Molavi, Reza, Neufeld, Richard, Norouzpour, Mana, Oh, Travis, Pavlov, Igor, Perminov, Ilya, Prescott, Thomas, Rich, Chris, Sato, Yuki, Sheldan, Benjamin, Sterling, George, Swenson, Loren J., Tsai, Nicholas, Volkmann, Mark H., Whittaker, Jed D., Wilkinson, Warren, Yao, Jason, Neven, Hartmut, Hilton, Jeremy P., Ladizinsky, Eric, Johnson, Mark W., Amin, Mohammad H.
Publication Year: 2019
Collection: Computer Science
Condensed Matter
Quantum Physics
Subject Terms: Quantum Physics, Condensed Matter - Statistical Mechanics, Computer Science - Emerging Technologies
More Details: The promise of quantum computing lies in harnessing programmable quantum devices for practical applications such as efficient simulation of quantum materials and condensed matter systems. One important task is the simulation of geometrically frustrated magnets in which topological phenomena can emerge from competition between quantum and thermal fluctuations. Here we report on experimental observations of relaxation in such simulations, measured on up to 1440 qubits with microsecond resolution. By initializing the system in a state with topological obstruction, we observe quantum annealing (QA) relaxation timescales in excess of one microsecond. Measurements indicate a dynamical advantage in the quantum simulation over the classical approach of path-integral Monte Carlo (PIMC) fixed-Hamiltonian relaxation with multiqubit cluster updates. The advantage increases with both system size and inverse temperature, exceeding a million-fold speedup over a CPU. This is an important piece of experimental evidence that in general, PIMC does not mimic QA dynamics for stoquastic Hamiltonians. The observed scaling advantage, for simulation of frustrated magnetism in quantum condensed matter, demonstrates that near-term quantum devices can be used to accelerate computational tasks of practical relevance.
Comment: 7 pages, 4 figures, 22 pages of supplemental material with 18 figures
Document Type: Working Paper
DOI: 10.1038/s41467-021-20901-5
Access URL: http://arxiv.org/abs/1911.03446
Accession Number: edsarx.1911.03446
Database: arXiv
More Details
DOI:10.1038/s41467-021-20901-5