Question: 2. Hamiltonian simulation 4 marks 10 0 0 010 0 Consider the 2-qubit Hamiltonian H = 0 0 01 0 010 (a) Describe a unitary

 2. Hamiltonian simulation 4 marks 10 0 0 010 0 Consider

2. Hamiltonian simulation 4 marks 10 0 0 010 0 Consider the 2-qubit Hamiltonian H = 0 0 01 0 010 (a) Describe a unitary U such that UHUT = A for some diagonal matrix A. (b) Describe an algorithm that (up to global phase) exactly simulates the evolution elhit on a given input state (vo) and time parameter t. You may assume you are able to exactly implement any one-qubit relative phase gate

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