Encoding lattice structures in Quantum Computational Basis States: Extending it to other structures

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 Extending it to other structures

This concept can be extended to other lattice structures as well. We need not have turns along orthogonal planes like the cubic or FCC lattices. The planes could be at an angle to the working plane. As long as the every bead or lattice point has equal and identical degrees of freedom, we could use the methodology explained here. In case, the lattice involves directions that are always at angle, we could do away with the qubits involved in plane selection and directly go for encoding directions to the computational basis states. Under such circumstances, the coordinate updates following a turn would be of the form given in (15).