Closed wrightjandrew closed 4 months ago
Since for the boost VQE project we want to minimize the energy expectation, here's the polynomial expansion, as for the other cost functions, to estimate $s_{min}$:
$\langle \psi| Hk | \psi \rangle = \sum{n=0}^{\infty} \frac{s^n}{n!} \langle \psi| \Gamma_n | \psi \rangle$
We take the $n$ first terms of this sum (at least 3) and find the root of the derivative with respect to $s$
Since for the boost VQE project we want to minimize the energy expectation, here's the polynomial expansion, as for the other cost functions, to estimate $s_{min}$:
$\langle \psi| Hk | \psi \rangle = \sum{n=0}^{\infty} \frac{s^n}{n!} \langle \psi| \Gamma_n | \psi \rangle$
We take the $n$ first terms of this sum (at least 3) and find the root of the derivative with respect to $s$