Documented and improved classical shadows on correct branch.

Author: gzemlevskiy17

community/paper_implementation_project/classical_shadows/classical_shadows.ipynb

@@ -0,0 +1,7 @@
+{
+  "friendly_name": "Classical Shadows",
+  "description": "Classical shadows algorithm demonstrated on a bell state.",
+  "qmod_type": ["algorithms"],
+  "problem_domain_tags": [],
+  "level": ["basic", "demos"]
+}

community/paper_implementation_project/classical_shadows/classical_shadows.metadata.json

@@ -0,0 +1,8 @@
+qfunc unitary_application(state: qbit[]) {
+  H(state[0]);
+}
+
+qfunc main(output qarr: qbit[]) {
+  prepare_bell_state(0, qarr);
+  unitary_application(qarr);
+}

community/paper_implementation_project/classical_shadows/classical_shadows.qmod

@@ -0,0 +1,44 @@
+{
+  "constraints": {
+    "max_gate_count": {},
+    "optimization_parameter": "no_opt"
+  },
+  "preferences": {
+    "machine_precision": 8,
+    "custom_hardware_settings": {
+      "basis_gates": [
+        "x",
+        "cy",
+        "y",
+        "z",
+        "ry",
+        "sx",
+        "u2",
+        "s",
+        "tdg",
+        "rx",
+        "h",
+        "cz",
+        "id",
+        "rz",
+        "sxdg",
+        "r",
+        "u1",
+        "sdg",
+        "u",
+        "p",
+        "t",
+        "cx"
+      ],
+      "is_symmetric_connectivity": true
+    },
+    "debug_mode": true,
+    "synthesize_all_separately": false,
+    "optimization_level": 3,
+    "output_format": ["qasm"],
+    "pretty_qasm": true,
+    "transpilation_option": "auto optimize",
+    "timeout_seconds": 300,
+    "random_seed": 3766126510
+  }
+}

community/paper_implementation_project/classical_shadows/classical_shadows.synthesis_options.json

@@ -49,6 +49,7 @@ bitwise_xor_integer_example.qmod: 10
 block_encoding.qmod: 300
 bpde.ipynb: 600
 bpde.qmod: 10
+classical_shadows.ipynb: 300
 classiq_chemistry_application.ipynb: 80
 classiq_discrete_quantum_walk.ipynb: 300
 classiq_iQuHack_2025_final.ipynb: 200