Timeline for Efficiently compute $\langle 0^{\otimes n} | e^{iA} H e^{-iB} |0^{\otimes n} \rangle$ in Qiskit

9 events

when toggle format	what		by	license	comment
Jul 17, 2022 at 6:37	answer	added	Egretta.Thula		timeline score: 3
Jul 16, 2022 at 22:29	comment	added	forky40		yes maybe it doesn't work actually.
Jul 16, 2022 at 6:03	comment	added	MonteNero		@forky40 how can we compute $\|\langle 0 \| X \| 0 \rangle\|^2$ if $X$ is not a projector, nor it is Hermitian?
Jul 16, 2022 at 5:24	history	edited	Firepanda	CC BY-SA 4.0	Add knowledge of $H$
Jul 16, 2022 at 5:23	comment	added	Firepanda		@forky40 Thank you for your nice suggestion! I think it should be fine to assume A, B and H are Hermitian, which should be a common case for a such problem in practice. I think we can also assume the knowledge of the $H$ as the linear combination of Pauli basis. I will add this condition to the question. Thus, as long as the expectation value is real, I can compute the value for each Pauli string and do the linear combination to sum them up.
Jul 16, 2022 at 4:59	history	edited	Firepanda	CC BY-SA 4.0	added 6 characters in body
Jul 16, 2022 at 4:53	history	edited	Firepanda	CC BY-SA 4.0	Add condition for $A$ and $B$
Jul 15, 2022 at 22:42	history	edited	Firepanda	CC BY-SA 4.0	added 43 characters in body
Jul 15, 2022 at 22:26	history	asked	Firepanda	CC BY-SA 4.0