Hello,I am doing a research related to Ising Model(adsbygoogle = window.adsbygoogle || []).push({});

in m research, evolution of a multi-qubit Ising system with the initial and final

Hamiltonian is given by:

(1) H_{i}=(-1/2)[itex]\sum\sigma^{(i)}_{x}[/itex]

(2) H_{f}=(-1/2)[itex]\sumh_{i}\sigma^{(i)}_{z}[/itex]+(1/2)[itex]\sumJ_{ij}\sigma^{(i)}_{z}\sigma^{(j)}_{z}[/itex]

(3) H_{s}(t)=(1-s(t))H_{i}+s(t)H_{f}

and in H_{f}must i>j in the second summation, and h_{i}and J_{ij}from{-1,0,1}. please help me how can I diagonalize the Hamiltonian (3) with (1) and (2) with random instances for 20 qubits by randomly choosing h_{i}and J_{ij}. mostly I have problem with multiplying two sigmas in H_{f}.

Thanks a lot.

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# Question about Ising Model

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