Abstract

September, 2015

There are different types of ways to construct a quantum computer. One such way is

by using the interaction between two dipoles, electrons whose charges are polarized, and

constructing a system from that. Here, we propose to look at an approximation of this

dipole-dipole interaction, namely the Ising approximation.

In constructing such a system, we situate two dipoles at an angle θ relative to the z

axis. Then, we add an external magnetic field ~B , which gives us an interaction between

the dipoles and the field.

In doing this, we analyze the accuracy of such an approximation as compared to the

full dipolar coupling interaction. In addition, we find the optimal angle to situate the

dipoles that yields the highest energy values. Lastly, we find the critical value of J , a

parameter that is a function of θ, that gives us the experimental threshold for the energy.

Such a value can give insight into if our approximation is precise or not.

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