Two dimenstional Heisenberg Hamiltonian for spin 1/2 system

[Noora Alameri]

Hey everybody,

I am trying to expand a system of seven qubits from one dimensional Hamiltonian to the two dimensional representation.

I have the one dimensional representation and I don't know what to add to transform it from 1D to 2D representation.

I would really appreciate your help and guidance.

Here is my !D Hamiltonian:

Thank You,
Noora

 

[DrClaude]

How are the cubits arranged in 2D?