{"knowledge_schema": {"broad_category": "Quantum Mechanics \u2192 Quantum States \u2192 Non-Gaussianity", "refinement": "This problem involves calculating the non-Gaussianity of a specific quantum state known as a Schr\u00f6dinger cat state using the relative entropy measure.", "specific_scope": "The focus is on evaluating the non-Gaussianity for given parameters phi and alpha in the defined state, applying the relative entropy formula to quantify the deviation from Gaussianity.", "goal": "Calculate the non-Gaussianity (nG) of the Schr\u00f6dinger cat state using the provided parameters and the relative entropy measure."}, "summary": "In this problem, we are tasked with calculating the non-Gaussianity of a Schr\u00f6dinger cat state using the relative entropy measure. The state is defined with specific parameters phi and alpha, and we need to apply the formula for relative entropy to find the deviation from Gaussianity. The calculation leads us to determine that the non-Gaussianity for the given values is 0.68."}