Create Bot_22.py

Bot_22.py

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+import numpy as np
+import pandas as pd
+
+# Defining a simplified quantum Hilbert space for representation
+# Example dataset structure: Quantum states, entanglements, connections
+
+# Define example quantum states and operators
+states = {
+    "Q1": [1 / np.sqrt(2), 1 / np.sqrt(2)],  # |+> state (superposition)
+    "Q2": [1, 0],                            # |0> state
+}
+
+# Define an example entanglement operator (Bell State)
+entanglement_operator = np.array([[1, 0, 0, 1],
+                                   [0, 1, 1, 0],
+                                   [0, 1, -1, 0],
+                                   [1, 0, 0, -1]]) / np.sqrt(2)
+
+# Combine into a tensor product to represent the combined state
+combined_state = np.kron(states["Q1"], states["Q2"])
+
+# Define connections (as an adjacency matrix for relationships)
+connections = np.array([[0, 1],  # Q1 connected to Q2
+                        [1, 0]])
+
+# Define Hamiltonian for time evolution (simplified for example)
+hamiltonian = np.array([[0, 1],
+                        [1, 0]])
+
+# Compute time evolution operator (unitary evolution)
+time_step = 1  # Arbitrary time step for example
+time_evolution_operator = np.linalg.matrix_power(np.eye(2) - 1j * hamiltonian * time_step, 10)
+
+# Final dataset structure for visualization
+dataset = {
+    "States": states,
+    "Entanglement Operator": entanglement_operator,
+    "Combined State": combined_state,
+    "Connections (Adjacency Matrix)": connections,
+    "Hamiltonian": hamiltonian,
+    "Time Evolution Operator": time_evolution_operator
+}
+
+# Format for user review as a DataFrame
+quantum_data_df = pd.DataFrame({
+    "Quantum Element": ["State Q1", "State Q2", "Entanglement Operator", "Combined State", "Hamiltonian", "Time Evolution Operator"],
+    "Representation": [
+        states["Q1"],
+        states["Q2"],
+        entanglement_operator,
+        combined_state,
+        hamiltonian,
+        time_evolution_operator
+    ]
+})
+
+import ace_tools as tools; tools.display_dataframe_to_user(name="Exhaustive Quantum Dataset", dataframe=quantum_data_df)