Ground State Spin Logic

Understand

Designing and optimizing cost functions and energy landscapes is a problem encountered in many fields of science and engineering.

• These landscapes and cost functions can be embedded and annealed in experimentally controllable spin Hamiltonians.
• Using an approach based on group theory and symmetries, we examine the embedding of Boolean logic gates into the ground state subspace of such spin systems.
• We describe parameterized families of diagonal Hamiltonians and symmetry operations which preserve the ground state subspace encoding the truth tables of Boolean formulas.