activity
19932017
most citedExperimental determination of Ramsey numbers

101 citations · 334 across the 24 of their papers we have counts for

collaborators

24 papers

quant-ph2017★ 2 cited

High-fidelity quantum state preparation using neighboring optimal control

Yuchen Peng, Frank Gaitan

We present an approach to single-shot high-fidelity preparation of an -qubit state based on neighboring optimal control theory. This represents a new application of the neighbor…

quant-ph2016★ 4 cited

Generalized Ramsey numbers through adiabatic quantum optimization

Mani Ranjbar, William G. Macready, Lane Clark +1

Ramsey theory is an active research area in combinatorics whose central theme is the emergence of order in large disordered structures, with Ramsey numbers marking the threshold at…

quant-ph2014★ 1 cited

Improving quantum gate performance through neighboring optimal control

Yuchen Peng, Frank Gaitan

Successful implementation of a fault-tolerant quantum computation on a system of qubits places severe demands on the hardware used to control the many-qubit state. It is known that…

quant-ph2013★ 46 cited

Graph isomorphism and adiabatic quantum computing

Frank Gaitan, Lane Clark

In the Graph Isomorphism problem two N-vertex graphs G and G' are given and the task is to determine whether there exists a permutation of the vertices of G that preserves adjacenc…

math.CO2013

The Distribution of Ramsey Numbers

Lane Clark, Frank Gaitan

We prove that the number of integers in the interval [0,x] that are non-trivial Ramsey numbers r(k,n) (3 <= k <= n) has order of magnitude (x ln x)**(1/2).

quant-ph2012★ 101 cited

Experimental determination of Ramsey numbers

Zhengbing Bian, Fabian Chudak, William G. Macready +2

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 f…