Boosting Quantum Annealing Performance Using Evolution Strategies for Annealing Offsets Tuning

In this paper we introduce a novel algorithm to iteratively tune annealing offsets for qubits in a D-Wave 2000Q quantum processing unit (QPU). Using a (1+1)-CMA-ES algorithm, we are able to improve the performance of the QPU by up to a factor of 12.4 in probability of obtaining ground states for small problems, and obtain previously inaccessible (i.e., better) solutions for larger problems. We also make efficient use of QPU samples as a resource, using 100 times less resources than existing tuning methods. The success of this approach demonstrates how quantum computing can benefit from classical algorithms, and opens the door to new hybrid methods of computing.

[1]  H. Nishimori,et al.  Exponential Speedup of Quantum Annealing by Inhomogeneous Driving of the Transverse Field , 2018, 1801.02005.

[2]  Christian Igel,et al.  A computational efficient covariance matrix update and a (1+1)-CMA for evolution strategies , 2006, GECCO.

[3]  Thomas Bäck,et al.  First Results Solving Arbitrarily Structured Maximum Independent Set Problems Using Quantum Annealing , 2018, 2018 IEEE Congress on Evolutionary Computation (CEC).

[4]  Jack Raymond,et al.  Global Warming: Temperature Estimation in Annealers , 2016, Front. ICT.

[5]  Florian Neukart,et al.  Quantum Annealing with Anneal Path Control: Application to 2-SAT Problems with Known Energy Landscapes , 2018, Communications in Computational Physics.

[6]  Aidan Roy,et al.  Mapping Constrained Optimization Problems to Quantum Annealing with Application to Fault Diagnosis , 2016, Front. ICT.

[7]  D. Venturelli,et al.  Quantum Annealing Implementation of Job-Shop Scheduling , 2015, 1506.08479.

[8]  Catherine C. McGeoch,et al.  Benchmarking a quantum annealing processor with the time-to-target metric , 2015, 1508.05087.

[9]  F. Barahona On the computational complexity of Ising spin glass models , 1982 .

[10]  Anne Auger,et al.  Benchmarking the (1+1)-CMA-ES on the BBOB-2009 function testbed , 2009, GECCO '09.

[11]  David Von Dollen,et al.  Traffic Flow Optimization Using a Quantum Annealer , 2017, Front. ICT.

[12]  Anne Auger,et al.  Benchmarking the (1+1)-CMA-ES on the BBOB-2009 noisy testbed , 2009, GECCO '09.

[13]  Andrew Lucas,et al.  Ising formulations of many NP problems , 2013, Front. Physics.

[14]  M. W. Johnson,et al.  Quantum annealing with manufactured spins , 2011, Nature.

[15]  Andrew D. King,et al.  Experimental demonstration of perturbative anticrossing mitigation using nonuniform driver Hamiltonians , 2017, 1708.03049.

[16]  Nikolaus Hansen,et al.  The CMA Evolution Strategy: A Comparing Review , 2006, Towards a New Evolutionary Computation.

[17]  Huaiyu Mi,et al.  Ontologies and Standards in Bioscience Research: For Machine or for Human , 2010, Front. Physio..

[18]  H. Nishimori,et al.  Quantum annealing in the transverse Ising model , 1998, cond-mat/9804280.