# Experimental determination of Ramsey numbers.

@article{Bian2013ExperimentalDO, title={Experimental determination of Ramsey numbers.}, author={Zhengbing Bian and Fabi{\'a}n A. Chudak and William G. Macready and Lane H. Clark and Frank Gaitan}, journal={Physical review letters}, year={2013}, volume={111 13}, pages={ 130505 } }

Ramsey theory is a highly active research area in mathematics that studies the emergence of order in large disordered structures. Ramsey numbers mark the threshold at which order first appears and are extremely difficult to calculate due to their explosive rate of growth. Recently, an algorithm that can be implemented using adiabatic quantum evolution has been proposed that calculates the two-color Ramsey numbers R(m,n). Here we present results of an experimental implementation of this…

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## References

SHOWING 1-10 OF 18 REFERENCES

### Ramsey numbers and adiabatic quantum computing.

- Physics, Computer SciencePhysical review letters
- 2012

It is shown how the computation of R(m,n) can be mapped to a combinatorial optimization problem whose solution can be found using adiabatic quantum evolution, and that Ramsey number computation belongs to the quantum complexity class quantum Merlin Arthur.

### Quantum Computation by Adiabatic Evolution

- Physics
- 2000

We give a quantum algorithm for solving instances of the satisfiability problem, based on adiabatic evolution. The evolution of the quantum state is governed by a time-dependent Hamiltonian that…

### Decoherence induced deformation of the ground state in adiabatic quantum computation

- PhysicsScientific reports
- 2013

Despite more than a decade of research on adiabatic quantum computation (AQC), its decoherence properties are still poorly understood. Many theoretical works have suggested that AQC is more robust…

### Ten lectures on the probabilistic method

- Mathematics
- 1987

This is an examination of what is known about the probabilistic method. Based on the notes from the author's 1986 series of ten lectures, this edition features an additional lecture: The Janson…

### Phys

- Rev. Lett. 108, 010501
- 2012

### Phys. Rev. Lett

- Phys. Rev. Lett
- 2012

### Phys

- Rev. Lett. 108, 130501
- 2012