BUG: drop_duplicates fail when read_csv using dtype_backend="pyarrow"

[doublessay]

Pandas version checks

• I have checked that this issue has not already been reported.

• I have confirmed this bug exists on the latest version of pandas.

• I have confirmed this bug exists on the main branch of pandas.

Reproducible Example

import pandas as pd
df1 = pd.DataFrame({"a":["a1","a2","a3"]})
df1.to_csv("test.csv", index=False)

df2 = pd.read_csv("test.csv",dtype_backend="pyarrow")
df2.drop_duplicates(subset="a") # error

Issue Description

read_csv with dtype_backend="pyarrow".
assure the type of a is string[pyarrow].
drop_duplicates will raise NotImplementedError

The detailed error info:
NotImplementedError Traceback (most recent call last)
Cell In[6], line 1
----> 1 df2.drop_duplicates(subset="a")

File /opt/homebrew/lib/python3.11/site-packages/pandas/core/frame.py:6569, in DataFrame.drop_duplicates(self, subset, keep, inplace, ignore_index)
6566 inplace = validate_bool_kwarg(inplace, "inplace")
6567 ignore_index = validate_bool_kwarg(ignore_index, "ignore_index")
-> 6569 result = self[-self.duplicated(subset, keep=keep)]
6570 if ignore_index:
6571 result.index = default_index(len(result))

File /opt/homebrew/lib/python3.11/site-packages/pandas/core/frame.py:6705, in DataFrame.duplicated(self, subset, keep)
6701 raise KeyError(Index(diff))
6703 if len(subset) == 1 and self.columns.is_unique:
6704 # GH#45236 This is faster than get_group_index below
-> 6705 result = self[subset[0]].duplicated(keep)
6706 result.name = None
6707 else:

File /opt/homebrew/lib/python3.11/site-packages/pandas/core/series.py:2484, in Series.duplicated(self, keep)
2408 def duplicated(self, keep: DropKeep = "first") -> Series:
2409 """
2410 Indicate duplicate Series values.
2411
(...)
2482 dtype: bool
2483 """
-> 2484 res = self._duplicated(keep=keep)
2485 result = self._constructor(res, index=self.index, copy=False)
2486 return result.finalize(self, method="duplicated")

File /opt/homebrew/lib/python3.11/site-packages/pandas/core/base.py:1368, in IndexOpsMixin._duplicated(self, keep)
1366 @Final
1367 def duplicated(self, keep: DropKeep = "first") -> npt.NDArray[np.bool]:
-> 1368 return algorithms.duplicated(self._values, keep=keep)

File /opt/homebrew/lib/python3.11/site-packages/pandas/core/algorithms.py:1002, in duplicated(values, keep)
1000 if hasattr(values, "dtype"):
1001 if isinstance(values.dtype, ArrowDtype):
-> 1002 values = values._to_masked() # type: ignore[union-attr]
1004 if isinstance(values.dtype, BaseMaskedDtype):
1005 values = cast("BaseMaskedArray", values)

File /opt/homebrew/lib/python3.11/site-packages/pandas/core/arrays/arrow/array.py:1964, in ArrowExtensionArray._to_masked(self)
1962 na_value = True
1963 else:
-> 1964 raise NotImplementedError
1966 dtype = _arrow_dtype_mapping()[pa_dtype]
1967 mask = self.isna()

NotImplementedError:

Expected Behavior

drop_duplicates can work well on a string[pyarrow] column when read a local csv using pyarrow.

Installed Versions

INSTALLED VERSIONS

commit : ba1cccd
python : 3.11.5.final.0
python-bits : 64
OS : Darwin
OS-release : 23.0.0
Version : Darwin Kernel Version 23.0.0: Tue Aug 1 03:25:17 PDT 2023; root:xnu-10002.0.242.0.6~31/RELEASE_ARM64_T8103
machine : arm64
processor : arm
byteorder : little
LC_ALL : None
LANG : None
LOCALE : None.UTF-8

pandas : 2.1.0
numpy : 1.25.2
pytz : 2023.3
dateutil : 2.8.2
setuptools : 68.1.2
pip : 23.2.1
Cython : None
pytest : 7.4.0
hypothesis : None
sphinx : None
blosc : None
feather : None
xlsxwriter : None
lxml.etree : None
html5lib : None
pymysql : None
psycopg2 : None
jinja2 : 3.1.2
IPython : 8.14.0
pandas_datareader : None
bs4 : None
bottleneck : None
dataframe-api-compat: None
fastparquet : None
fsspec : None
gcsfs : None
matplotlib : None
numba : None
numexpr : None
odfpy : None
openpyxl : 3.1.2
pandas_gbq : None
pyarrow : 13.0.0
pyreadstat : None
pyxlsb : None
s3fs : None
scipy : None
sqlalchemy : None
tables : None
tabulate : None
xarray : None
xlrd : None
zstandard : None
tzdata : 2023.3
qtpy : None
pyqt5 : None

[Giuzzilla]

I think this is a duplicate of #54904 (fixed by #54913)
It's working correctly on the main branch (need to wait for 2.1.1 release)