# Probing for quantum speedup in spin-glass problems with planted solutions

@article{Hen2015ProbingFQ, title={Probing for quantum speedup in spin-glass problems with planted solutions}, author={Itay Hen and Joshua Job and Tameem Albash and Troels F. Ronnow and Matthias Troyer and Daniel A. Lidar}, journal={Physical Review A}, year={2015}, volume={92}, pages={042325} }

The availability of quantum annealing devices with hundreds of qubits has made the experimental demonstration of a quantum speedup for optimization problems a coveted, albeit elusive goal. Going beyond earlier studies of random Ising problems, here we introduce a method to construct a set of frustrated Ising-model optimization problems with tunable hardness. We study the performance of a D-Wave Two device (DW2) with up to 503 qubits on these problems and compare it to a suite of classical… Expand

#### Figures from this paper

#### 121 Citations

Practical engineering of hard spin-glass instances

- Physics
- 2016

Recent technological developments in the field of experimental quantum annealing have made prototypical annealing optimizers with hundreds of qubits commercially available. The experimental… Expand

Seeking Quantum Speedup Through Spin Glasses: The Good, the Bad, and the Ugly

- Computer Science, Physics
- 2015

This work proposes to complement head-to-head scaling studies that compare quantum annealing machines to state-of-the-art classical codes with an approach that compares the performance of different algorithms and/or computing architectures on different classes of computationally hard tunable spin-glass instances. Expand

Readiness of Quantum Optimization Machines for Industrial Applications

- Mathematics, Physics
- Physical Review Applied
- 2019

Although the results show that transverse-field quantum annealing is outperformed by state-of-the-art classical optimization algorithms, these benchmark instances are hard and small in the size of the input, therefore representing the first industrial application ideally suited for testing near-term Quantum annealers and other quantum algorithmic strategies for optimization problems. Expand

Demonstration of a Scaling Advantage for a Quantum Annealer over Simulated Annealing

- Physics, Computer Science
- Physical Review X
- 2018

The first example of a scaling advantage for an experimental quantum annealer over classical simulated annealing is established: it is found that the D-Wave device exhibits certifiably better scaling than simulatedAnnealing, with $95\%$ confidence, over the range of problem sizes that the authors can test. Expand

Advantages of Unfair Quantum Ground-State Sampling

- Physics, Medicine
- Scientific Reports
- 2017

This work examines the power of quantum annealers to provide a different type of quantum enhancement of practical relevance, namely, their ability to serve as useful samplers from the ground-state manifolds of combinatorial optimization problems. Expand

Unraveling Quantum Annealers using Classical Hardness

- Computer Science, Physics
- Scientific reports
- 2015

A general method to quantify the performance of quantum annealers on optimization problems suffering from varying degrees of temperature chaos is devised and finds, surprisingly, that its performance scales unfavorably as compared to several analogous classical algorithms. Expand

How Small-World Interactions Can Lead to Improved Quantum Annealer Designs

- Physics
- Physical Review Applied
- 2018

There are many factors that influence the design of quantum annealing processing units. Here we address the issue of improving quantum annealing processing unit designs from the point of view of the… Expand

Analog errors in quantum annealing: doom and hope

- Physics, Computer Science
- 2019

It is shown that J-chaos causes a catastrophic failure of quantum annealing, in that the scaling of the time-to-solution metric becomes worse than that of a deterministic (exhaustive) classical solver, and this doomsday scenario can be mitigated using a simple error suppression and correction scheme known as QAC. Expand

Inhomogeneous driving in quantum annealers can result in orders-of-magnitude improvements in performance

- Physics, Mathematics
- 2018

Quantum annealers are special-purpose quantum computers that primarily target solving Ising optimization problems. Theoretical work has predicted that the probability of a quantum annealer ending in… Expand

Enhancing quantum annealing performance for the molecular similarity problem

- Physics, Computer Science
- Quantum Inf. Process.
- 2017

This work investigates the performance of a quantum annealer in solving the molecular similarity problem and provides experimental evidence that common practices for embedding can be replaced by new alternatives which mitigate some of the hardware limitations and enhance its performance. Expand

#### References

SHOWING 1-10 OF 63 REFERENCES

Statistical physics of spin glasses and information processing : an introduction

- Mathematics
- 2001

1. Mean-field theory of phase transitions 2. Mean-field theory of spin glasses 3. Replica symmetry breaking 4. Gauge theory of spin glasses 5. Error-correcting codes 6. Image restoration 7.… Expand

Spin Glass Theory and Beyond

- Physics
- 1987

This book contains a detailed and self-contained presentation of the replica theory of infinite range spin glasses. The authors also explain recent theoretical developments, paying particular… Expand

The Journal of Physical Chemistry

- Nature
- 1900

THE recent development of physical chemistry may be said to date from the year 1887. The fundamental ideas on which the modern superstructure rests had been conceived and even published before that… Expand

Proceedings of the thirty-sixth annual ACM symposium on Theory of computing

- Computer Science
- STOC 2004
- 2004

The papers in this volume were presented at the Thirty-Sixth Annual ACM Symposium on Theory of Computing (STOC 2004), held in Chicago, Illinois, June 13-15, 2004, and included three invited plenary talks. Expand

A Compendium of Conjugate Priors

- Mathematics
- 1997

This report reviews conjugate priors and priors closed under sampling for a variety of data generating processes where the prior distributions are univariate, bivariate, and multivariate. The eects… Expand

International Encyclopedia of Statistical Science

- Computer Science, Engineering
- 2011

Overview of Statistical Sciences.- Past, Recent trends and Advances.- Present and Future perspective.

D-wave: comment on comparison with classical computers,

- http://www.archduke.org/stuff/ d-wave-comment-on-comparison-with-classical-computers/
- 2013

Applied Superconductivity

- IEEE Transactions on, Applied Superconductivity, IEEE Transactions on 24, 1
- 2014

Science 345

- 420
- 2014

Prog-QUBO,” https://github.com/ alex1770/QUBO-Chimera

- 2013