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Adding a script to diagnostic BPs.
Here some results got with the used model:
This is the average VAR[grads] considering 17 parameters as function of the number of qubits (color legend) and number of layers (x axis):
![bp_diagnostic](https://private-user-images.githubusercontent.com/62071516/334095248-fc2174de-ae8b-445b-8acd-e84e1d50ba9d.png?jwt=eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJnaXRodWIuY29tIiwiYXVkIjoicmF3LmdpdGh1YnVzZXJjb250ZW50LmNvbSIsImtleSI6ImtleTUiLCJleHAiOjE3Mzk2MTgxNzksIm5iZiI6MTczOTYxNzg3OSwicGF0aCI6Ii82MjA3MTUxNi8zMzQwOTUyNDgtZmMyMTc0ZGUtYWU4Yi00NDViLThhY2QtZTg0ZTFkNTBiYTlkLnBuZz9YLUFtei1BbGdvcml0aG09QVdTNC1ITUFDLVNIQTI1NiZYLUFtei1DcmVkZW50aWFsPUFLSUFWQ09EWUxTQTUzUFFLNFpBJTJGMjAyNTAyMTUlMkZ1cy1lYXN0LTElMkZzMyUyRmF3czRfcmVxdWVzdCZYLUFtei1EYXRlPTIwMjUwMjE1VDExMTExOVomWC1BbXotRXhwaXJlcz0zMDAmWC1BbXotU2lnbmF0dXJlPWEwZjRjY2UyY2U2ZTM3NzJkZGEwOTg1NzdjN2M5NDljMjMyNTk5MTEzYTEzZjkzYmJkMDhkMzY2ODM4MmY0YjgmWC1BbXotU2lnbmVkSGVhZGVycz1ob3N0In0.PowRdqdMgU5pba-5H4VVmfP_7ROwuYWeYaM_8SNx8z8)
This is how the average VAR[grads] behaves varying the number of qubits and using 20 Layers.
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