Non-perturbative gadget for topological quantum codes

Understand

Many-body entangled systems, in particular topologically ordered spin systems proposed as resources for quantum information processing tasks, often involve highly non-local interaction terms.

• While one may approximate such systems through two-body interactions perturbatively, these approaches have a number of drawbacks in practice.
• Here, we propose a scheme to simulate many-body spin Hamiltonians with two-body Hamiltonians non-perturbatively.
• Unlike previous approaches, our Hamiltonians are not only exactly solvable with exact ground state degeneracy, but also support completely localized quasi-particle excitations, which are ideal for quantum information processing tasks.