Quantum Computational Systems

A computer-implemented method for performing quantum computation, the method comprising:

• modeling a lattice having a system of non-Abelian anyons disposed thereon, the lattice comprising a system of real particles, the non-Abelian anyons being excitations of least energy states of the system of real particles that form the lattice, wherein each of the non-Abelian anyons is associated with a respective initial position in the lattice;
• identifying a first quantum state of the lattice;
• modeling movement of the non-Abelian anyons within a 2D+1 space-time of the lattice;
• identifying a second quantum state of the lattice after movement of the non-Abelian anyons has been modeled;
• and
• determining a computational result based on the first and second quantum states of the lattice model.

A computer-implemented method for performing quantum computation, the method comprising:

• modeling a lattice comprising a system of real particles, the lattice having disposed thereon a system of non-Abelian anyons, the non-Abelian anyons being excitations of least energy states of the system of real particles that form the lattice, wherein each of the non-Abelian anyons is associated with a respective initial position in the lattice;
• modeling movement of at least one of a plurality of non-Abelian anyons within a 2D+1 space-time of the lattice to form a braid in the space-time of the lattice;
• and
• determining a computational result based on the braid.