Consider a Hamiltonian with on three bits (two-level systems) with the interaction graph below. 2 -4...

    

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Consider a Hamiltonian with on three bits (two-level systems) with the interaction graph below. 2 -4 INPUT OUTPUT (a) What is the ground state set of this Hamiltonian, and what is its ground state energy? (b) Suppose the top two bits are the inputs and the bottom bit is the output, what logic gate does this Hamiltonian implement when cooled to ground state? Consider a Hamiltonian with on three bits (two-level systems) with the interaction graph below. 2 -4 INPUT OUTPUT (a) What is the ground state set of this Hamiltonian, and what is its ground state energy? (b) Suppose the top two bits are the inputs and the bottom bit is the output, what logic gate does this Hamiltonian implement when cooled to ground state?