Handling conversion of empty categorical with dtype_backend='pyarrow'

pandas/core/dtypes/cast.py

@@ -1143,6 +1143,7 @@ def convert_dtypes(
                 base_dtype.kind == "O"  # type: ignore[union-attr]
                 and input_array.size > 0
                 and isna(input_array).all()
+                and not isinstance(input_array.dtype, CategoricalDtype)
             ):
                 import pyarrow as pa
 

pandas/tests/frame/methods/test_convert_dtypes.py

@@ -35,6 +35,27 @@ def test_convert_empty(self):
         empty_df = pd.DataFrame()
         tm.assert_frame_equal(empty_df, empty_df.convert_dtypes())
 
+    def test_convert_empty_categorical_to_pyarrow(self):
+        # GH#59934
+        df = pd.DataFrame(
+            {
+                "A": pd.Categorical([None] * 5),
+                "B": pd.Categorical([None] * 5, categories=["B1", "B2"]),
+            }
+        )
+        converted = df.convert_dtypes(dtype_backend="pyarrow")
+        expected = df
+        tm.assert_frame_equal(converted, expected)
+
+        assert converted.A.dtype == "category", "Dtype in column A is not 'category'"
+        assert converted.B.dtype == "category", "Dtype in column B is not 'category'"
+        assert converted.A.cat.categories.empty, "Categories in column A are not empty"
+        assert converted.B.cat.categories.__contains__(
+            "B1"
+        ) and converted.B.cat.categories.__contains__(
+            "B2"
+        ), "Categories in column B doesn't contain adequate categories"
+
     def test_convert_dtypes_retain_column_names(self):
         # GH#41435
         df = pd.DataFrame({"a": [1, 2], "b": [3, 4]})

pandas/tests/series/methods/test_convert_dtypes.py

@@ -297,3 +297,21 @@ def test_convert_dtypes_pyarrow_null(self):
         result = ser.convert_dtypes(dtype_backend="pyarrow")
         expected = pd.Series([None, None], dtype=pd.ArrowDtype(pa.null()))
         tm.assert_series_equal(result, expected)
+
+    def test_convert_empty_categorical_to_pyarrow(self):
+        # GH#59934
+        ser1 = pd.Series(pd.Categorical([None] * 5))
+        converted1 = ser1.convert_dtypes(dtype_backend="pyarrow")
+        expected = ser1
+
+        tm.assert_series_equal(converted1, expected)
+        assert converted1.dtype == "category", "Series dtype is not 'category'"
+        assert converted1.cat.categories.empty, "Series categories are not empty"
+
+        ser2 = pd.Series(pd.Categorical([None] * 5, categories=["S1", "S2"]))
+        converted2 = ser2.convert_dtypes(dtype_backend="pyarrow")
+        assert converted2.cat.categories.__contains__(
+            "S1"
+        ) and converted2.cat.categories.__contains__(
+            "S2"
+        ), "Categories in ser2 doesn't contain adequate categories"