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Title: Experimental investigation of performance differences between coherent Ising machines and a quantum annealer

Journal Article · · Science Advances
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4]; ORCiD logo [5];  [6]; ORCiD logo [6]; ORCiD logo [6]; ORCiD logo [2]; ORCiD logo [2]; ORCiD logo [7]; ORCiD logo [7];  [7]; ORCiD logo [8]; ORCiD logo [8]; ORCiD logo [8]; ORCiD logo [6]; ORCiD logo [6]; ORCiD logo [6]; ORCiD logo [9] more »;  [10]; ORCiD logo [11]; ORCiD logo [12] « less
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Research Lab. of Electronics; National Inst. of Informatics, Tokyo (Japan)
  2. NTT Corporation, Kanagawa (Japan). NTT Basic Research Labs
  3. National Inst. of Informatics, Tokyo (Japan); Stanford Univ., CA (United States). E.L. Ginzton Lab.; Cornell Univ., Ithaca, NY (United States). School of Applied and Engineering Physics
  4. NASA Ames Research Center (ARC), Moffett Field, Mountain View, CA (United States); USRA Research Inst. for Advanced Comupter Science (RIACS), Mountain View, CA (United States)
  5. Stanford Univ., CA (United States). E.L. Ginzton Lab.; California Institute of Technology (CalTech), Pasadena, CA (United States)
  6. Stanford Univ., CA (United States). E.L. Ginzton Lab.
  7. NTT Corporation, Kanagawa (Japan). NTT Devise Technology Labs.
  8. National Inst. of Informatics, Tokyo (Japan)
  9. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Research Lab. of Electronics
  10. NASA Ames Research Center (ARC), Moffett Field, Mountain View, CA (United States)
  11. NTT Corporation, Kanagawa (Japan). NTT Basic Research Labs.
  12. Stanford Univ., CA (United States). E.L. Ginzton Lab.; Japan Science and Technology Agency (JST), Tokyo (Japan). ImPACT Program

Physical annealing systems provide heuristic approaches to solving combinatorial optimization problems. Here, we benchmark two types of annealing machines—a quantum annealer built by D-Wave Systems and measurement-feedback coherent Ising machines (CIMs) based on optical parametric oscillators—on two problem classes, the Sherrington-Kirkpatrick (SK) model and MAX-CUT. The D-Wave quantum annealer outperforms the CIMs on MAX-CUT on cubic graphs. On denser problems, however, we observe an exponential penalty for the quantum annealer [exp(–αDWN2)] relative to CIMs [exp(–αCIMN)] for fixed anneal times, both on the SK model and on 50% edge density MAX-CUT. This leads to a several orders of magnitude time-to-solution difference for instances with over 50 vertices. An optimal–annealing time analysis is also consistent with a substantial projected performance difference. The difference in performance between the sparsely connected D-Wave machine and the fully-connected CIMs provides strong experimental support for efforts to increase the connectivity of quantum annealers.

Research Organization:
Oak Ridge Institute for Science and Education (ORISE), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0014664
OSTI ID:
1626000
Journal Information:
Science Advances, Vol. 5, Issue 5; ISSN 2375-2548
Publisher:
AAASCopyright Statement
Country of Publication:
United States
Language:
English

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Coherent diffusion of partial spatial coherence journal January 2019
Heuristic recurrent algorithms for photonic Ising machines journal January 2020
Heuristic Recurrent Algorithms for Photonic Ising Machines preprint January 2018
Coherent diffusion of partial spatial coherence preprint January 2018
A poor man’s coherent Ising machine based on opto-electronic feedback systems for solving optimization problems journal August 2019
Analog errors in quantum annealing: doom and hope journal November 2019
Theory of coupled parametric oscillators beyond coupled Ising spins text January 2019
Quantum solutions for densest k-subgraph problems journal February 2020
Theory of coupled parametric oscillators beyond coupled Ising spins journal August 2019
A poor man’s coherent Ising machine based on opto-electronic feedback systems for solving optimization problems journal August 2019
Heuristic recurrent algorithms for photonic Ising machines journal January 2020
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Large-scale Ising emulation with four body interaction and all-to-all connections journal June 2020
Physics-inspired heuristics for soft MIMO detection in 5G new radio and beyond conference September 2021
Parallel in time dynamics with quantum annealers preprint January 2019
Traffic Signal Optimization on a Square Lattice with Quantum Annealing text January 2020
A CMOS-compatible Ising Machine with Bistable Nodes preprint January 2020
Global minimization via classical tunneling assisted by collective force field formation text January 2021

Figures / Tables (6)