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Solving Hamiltonian eigenvalue problem

Have you ever seen a derivation of Grover's search? The approach that you want is very similar. Start by defining two states, perhaps $$ |a\rangle=|\psi_N\rangle, \qquad |b\rangle=|m\rangle-|a\rangle\...
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Solving Hamiltonian eigenvalue problem

You can solve this by referring to this question. To estimate the eigenvalues of $H\left( s \right) =\left( 1-s \right) H_0+sH_m=I-\left( 1-s \right) |\psi _N\rangle \langle \psi _N|-s|m\rangle \...
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From Hamiltonian to the Pulse Sequence

There's a whole branch of physics/engineering called "optimal control theory" which gives you numerical routines for finding the best control sequences to achieve a particular unitary. ...
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Convert Hamiltonian to Ising Formulation or QUBO

Given that you decompose your matrix into a sum of Pauli operators such that there are no instances of $X$ and $Y$ (so basically a Pauli sum of $Z$, $I$ and any tensor product of these two), you can ...
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