Fix example

[nihaocami]

Summary

This doc which is live https://qiskit.github.io/qiskit-aer/getting_started.html has a wrong example code which I am fixing to run correctly with qiskit 1.0

Details and comments

qiskit.execute() is deprecated and instead we should run the job on the simulator directly. The example provide on the get started page is wrong and can cause confusion. I am changing the example so we can run it directly on the aer sim.

[doichanj]

Thank you, but I think backend.run() will be also deprecated, so could you please use SamplerV2 instead of using backend.run()

[nihaocami]

Hi @doichanj do you mean the one in qiskit_ibm_runtime ? I thought maybe we wanted to keep introductory examples as simple as possible.

[doichanj]

No, I mean the example in readme.md, it uses SamplerV2.run() instead of using AerSimulator.run()

[nihaocami]

No, I mean the example in readme.md, it uses SamplerV2.run() instead of using AerSimulator.run()

Oh yeah that's even better. Done!

[nihaocami]

Hi @doichanj Can we merge this?