Questions tagged [stoquatic-matrices]

For questions related to stoquastic matrices, also known as matrices having no sign problem. These are Hermitian matrices having real, non-positive off-diagonal entries. When viewed as Hamiltonians such matrices may be more efficiently computable than arbitrary Hamiltonians.

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Is it possible to find a 2x2 Hermitian matrix whose eigenvalues have 1:2 ratio? [closed]

Is it possible to find 2x2 Hermitian matrix whose eigenvalues have 1:2 ratio and if it is how is it done?
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If we can prepare a ground state efficiently, when can we prepare the second-lowest energy eigenstate?

I'd like to know if there's anything that can be said about whether and when we can efficiently prepare a state corresponding to the second-lowest eigenvalue of a given Hamiltonian, or in any other ...