Encoding lattice structure in qubit sta

Table of Links

1. Introduction

2. Lattice models and coordinate space

3. Encoding to qubit states

   3.1 Encoding lattice structure in qubit sta

   3.2 Selection of the plane of turn

   3.3 Extending it to other structures

4. Conclusions and References

3. 3.1 Encoding lattice structure in qubit sta

The basis B2 will have the form shown in Fig. 5. By substituting the values of the q1 and q2 in QS2 in

the matrix given in Fig. 5, we will get the basis matrix B2 as given below.

As in the previous case, the vectors ∆a and ∆b in (1) can be represented using the basis vectors in B2. The coefficients can be estimated the following way.

The coefficients obtained for the FCC lattice are as follows.

We can thus express ∆a and ∆b as follows.