Best-case performance of quantum annealers on native spin-glass benchmarks: How chaos can affect success probabilities
arXiv:1505.02278 · doi:10.1103/PhysRevA.93.012317
Abstract
Recent tests performed on the D-Wave Two quantum annealer have revealed no clear evidence of speedup over conventional silicon-based technologies. Here, we present results from classical parallel-tempering Monte Carlo simulations combined with isoenergetic cluster moves of the archetypal benchmark problem-an Ising spin glass-on the native chip topology. Using realistic uncorrelated noise models for the D-Wave Two quantum annealer, we study the best-case resilience, i.e., the probability that the ground-state configuration is not affected by random fields and random-bond fluctuations found on the chip. We thus compute classical upper-bound success probabilities for different types of disorder used in the benchmarks and predict that an increase in the number of qubits will require either error correction schemes or a drastic reduction of the intrinsic noise found in these devices. We outline strategies to develop robust, as well as hard benchmarks for quantum annealing devices, as well as any other computing paradigm affected by noise.
8 pages, 5 figures
References in corpus (13)
- Mathematical Foundation of Quantum Annealing
- Probing for quantum speedup in spin glass problems with planted solutions
- Towards Fault Tolerant Adiabatic Quantum Computation
- Consistency Tests of Classical and Quantum Models for a Quantum Annealer
- Efficient Cluster Algorithm for Spin Glasses in Any Space Dimension
- Quantum annealing correction for random Ising problems
- Reexamining classical and quantum models for the D-Wave One processor
- Monte Carlo studies of the one-dimensional Ising spin glass with power-law interactions
- Seeking Quantum Speedup Through Spin Glasses: The Good, the Bad, and the Ugly
- Temperature and Disorder Chaos in Three-Dimensional Ising Spin Glasses
- Multivariable Optimization: Quantum Annealing & Computation
- Correlations between the dynamics of parallel tempering and the free-energy landscape in spin glasses
- An Efficient User-Side Nulling Calibration for Quantum Annealing Computers
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