curl --request POST \
  --url 'https://api.example.com/ai/backpropagate_observables?HAIQU_API_KEY=' \
  --header 'Content-Type: application/json' \
  --data '
{
  "circuit_id": "circ-123",
  "max_error_total": 0.01,
  "observables": {
    "energy": [
      [
        "ZZ",
        1,
        0
      ]
    ]
  }
}
'

import requests

url = "https://api.example.com/ai/backpropagate_observables?HAIQU_API_KEY="

payload = {
    "circuit_id": "circ-123",
    "max_error_total": 0.01,
    "observables": { "energy": [["ZZ", 1, 0]] }
}
headers = {"Content-Type": "application/json"}

response = requests.post(url, json=payload, headers=headers)

print(response.text)

const options = {
  method: 'POST',
  headers: {'Content-Type': 'application/json'},
  body: JSON.stringify({
    circuit_id: 'circ-123',
    max_error_total: 0.01,
    observables: {energy: [['ZZ', 1, 0]]}
  })
};

fetch('https://api.example.com/ai/backpropagate_observables?HAIQU_API_KEY=', options)
  .then(res => res.json())
  .then(res => console.log(res))
  .catch(err => console.error(err));

<?php

$curl = curl_init();

curl_setopt_array($curl, [
  CURLOPT_URL => "https://api.example.com/ai/backpropagate_observables?HAIQU_API_KEY=",
  CURLOPT_RETURNTRANSFER => true,
  CURLOPT_ENCODING => "",
  CURLOPT_MAXREDIRS => 10,
  CURLOPT_TIMEOUT => 30,
  CURLOPT_HTTP_VERSION => CURL_HTTP_VERSION_1_1,
  CURLOPT_CUSTOMREQUEST => "POST",
  CURLOPT_POSTFIELDS => json_encode([
    'circuit_id' => 'circ-123',
    'max_error_total' => 0.01,
    'observables' => [
        'energy' => [
                [
                                'ZZ',
                                1,
                                0
                ]
        ]
    ]
  ]),
  CURLOPT_HTTPHEADER => [
    "Content-Type: application/json"
  ],
]);

$response = curl_exec($curl);
$err = curl_error($curl);

curl_close($curl);

if ($err) {
  echo "cURL Error #:" . $err;
} else {
  echo $response;
}

package main

import (
	"fmt"
	"strings"
	"net/http"
	"io"
)

func main() {

	url := "https://api.example.com/ai/backpropagate_observables?HAIQU_API_KEY="

	payload := strings.NewReader("{\n  \"circuit_id\": \"circ-123\",\n  \"max_error_total\": 0.01,\n  \"observables\": {\n    \"energy\": [\n      [\n        \"ZZ\",\n        1,\n        0\n      ]\n    ]\n  }\n}")

	req, _ := http.NewRequest("POST", url, payload)

	req.Header.Add("Content-Type", "application/json")

	res, _ := http.DefaultClient.Do(req)

	defer res.Body.Close()
	body, _ := io.ReadAll(res.Body)

	fmt.Println(string(body))

}

HttpResponse<String> response = Unirest.post("https://api.example.com/ai/backpropagate_observables?HAIQU_API_KEY=")
  .header("Content-Type", "application/json")
  .body("{\n  \"circuit_id\": \"circ-123\",\n  \"max_error_total\": 0.01,\n  \"observables\": {\n    \"energy\": [\n      [\n        \"ZZ\",\n        1,\n        0\n      ]\n    ]\n  }\n}")
  .asString();

require 'uri'
require 'net/http'

url = URI("https://api.example.com/ai/backpropagate_observables?HAIQU_API_KEY=")

http = Net::HTTP.new(url.host, url.port)
http.use_ssl = true

request = Net::HTTP::Post.new(url)
request["Content-Type"] = 'application/json'
request.body = "{\n  \"circuit_id\": \"circ-123\",\n  \"max_error_total\": 0.01,\n  \"observables\": {\n    \"energy\": [\n      [\n        \"ZZ\",\n        1,\n        0\n      ]\n    ]\n  }\n}"

response = http.request(request)
puts response.read_body

{
  "optimized_circuit_ids": {},
  "backpropagated_observables": {},
  "context": "<string>"
}

{
  "detail": [
    {
      "loc": [
        "<string>"
      ],
      "msg": "<string>",
      "type": "<string>"
    }
  ]
}