diff --git a/.github/workflows/main.yml b/.github/workflows/main.yml
index 09c2ca072..893a6be81 100644
--- a/.github/workflows/main.yml
+++ b/.github/workflows/main.yml
@@ -70,7 +70,7 @@ jobs:
           pip install pyenchant
           echo "earliest_version: 0.1.0" >> releasenotes/config.yaml
         shell: bash
-      - run:  pip check
+      - run: pip check
         if: ${{ !cancelled() }}
         shell: bash
       - name: Copyright Check
@@ -78,7 +78,7 @@ jobs:
           python tools/check_copyright.py -check
         if: ${{ !cancelled() }}
         shell: bash
-      - run:  make spell
+      - run: make spell
         if: ${{ !cancelled() }}
         shell: bash
       - name: Style Check
@@ -88,7 +88,7 @@ jobs:
         if: ${{ !cancelled() }}
         shell: bash
       - name: Run make html
-        run:  |
+        run: |
           make clean_sphinx
           make html
           cd docs/_build/html
@@ -102,7 +102,7 @@ jobs:
           name: documentation
           path: docs/_build/html/artifacts/documentation.tar.gz
         if: ${{ !cancelled() }}
-      - run:  make doctest
+      - run: make doctest
         if: ${{ !cancelled() }}
         shell: bash
   MachineLearning:
@@ -111,16 +111,20 @@ jobs:
       fail-fast: false
       matrix:
         os: [ubuntu-latest]
-        python-version: [3.7, 3.8, 3.9, '3.10']
+        python-version: [3.7, 3.8, 3.9, '3.10', 3.11]
         include:
           - os: macos-latest
             python-version: 3.8
           - os: macos-latest
             python-version: '3.10'
+          - os: macos-latest
+            python-version: 3.11
           - os: windows-2019
             python-version: 3.8
           - os: windows-2019
             python-version: '3.10'
+          - os: windows-2019
+            python-version: 3.11
     steps:
       - uses: actions/checkout@v3
       - uses: actions/setup-python@v4
@@ -142,11 +146,6 @@ jobs:
       - run: make mypy
         if: ${{ !cancelled() && matrix.python-version != '3.10' }}
         shell: bash
-      - name: Run make lint latest version
-        run: |
-          pip install -U -r requirements-dev.txt
-          make lint
-        shell: bash
       - name: Machine Learning Unit Tests under Python ${{ matrix.python-version }}
         uses: ./.github/actions/run-tests
         with:
diff --git a/.pylintrc b/.pylintrc
index cc3077ebc..04eb1f55d 100644
--- a/.pylintrc
+++ b/.pylintrc
@@ -58,8 +58,7 @@ confidence=
 # --enable=similarities". If you want to run only the classes checker, but have
 # no Warning level messages displayed, use"--disable=all --enable=classes
 # --disable=W"
-disable=no-self-use,        # disabled as it is too verbose
-    fixme,              # disabled as TODOs would show up as warnings
+disable=fixme,              # disabled as TODOs would show up as warnings
     protected-access,   # disabled as we don't follow the public vs private
                         # convention strictly
     duplicate-code,     # disabled as it is too verbose
@@ -72,9 +71,6 @@ disable=no-self-use,        # disabled as it is too verbose
     no-else-return,     # relax "elif" after a clause with a return
     docstring-first-line-empty, # relax docstring style
     import-outside-toplevel,
-    bad-continuation, bad-whitespace, # differences of opinion with black
-
-
 
 
 [REPORTS]
@@ -84,12 +80,6 @@ disable=no-self-use,        # disabled as it is too verbose
 # mypackage.mymodule.MyReporterClass.
 output-format=text
 
-# Put messages in a separate file for each module / package specified on the
-# command line instead of printing them on stdout. Reports (if any) will be
-# written in a file name "pylint_global.[txt|html]". This option is deprecated
-# and it will be removed in Pylint 2.0.
-files-output=no
-
 # Tells whether to display a full report or only the messages
 reports=yes
 
@@ -138,63 +128,33 @@ property-classes=abc.abstractproperty
 # Regular expression matching correct module names
 module-rgx=(([a-z_][a-z0-9_]*)|([A-Z][a-zA-Z0-9]+))$
 
-# Naming hint for module names
-module-name-hint=(([a-z_][a-z0-9_]*)|([A-Z][a-zA-Z0-9]+))$
-
 # Regular expression matching correct constant names
 const-rgx=(([A-Z_][A-Z0-9_]*)|(__.*__))$
 
-# Naming hint for constant names
-const-name-hint=(([A-Z_][A-Z0-9_]*)|(__.*__))$
-
 # Regular expression matching correct class names
 class-rgx=[A-Z_][a-zA-Z0-9]+$
 
-# Naming hint for class names
-class-name-hint=[A-Z_][a-zA-Z0-9]+$
-
 # Regular expression matching correct function names
 function-rgx=[a-z_][a-z0-9_]{2,30}$
 
-# Naming hint for function names
-function-name-hint=[a-z_][a-z0-9_]{2,30}$
-
 # Regular expression matching correct method names
 method-rgx=(([a-z_][a-z0-9_]{2,49})|(assert[A-Z][a-zA-Z0-9]{2,43})|(test_[_a-zA-Z0-9]{2,}))$
 
-# Naming hint for method names
-method-name-hint=[a-z_][a-z0-9_]{2,30}$ or camelCase `assert*` in tests.
-
 # Regular expression matching correct attribute names
 attr-rgx=[a-z_][a-z0-9_]{2,30}$
 
-# Naming hint for attribute names
-attr-name-hint=[a-z_][a-z0-9_]{2,30}$
-
 # Regular expression matching correct argument names
 argument-rgx=[a-z_][a-z0-9_]{2,30}|ax|dt$
 
-# Naming hint for argument names
-argument-name-hint=[a-z_][a-z0-9_]{2,30}$
-
 # Regular expression matching correct variable names
 variable-rgx=[a-z_][a-z0-9_]{2,30}$
 
-# Naming hint for variable names
-variable-name-hint=[a-z_][a-z0-9_]{2,30}$
-
 # Regular expression matching correct class attribute names
 class-attribute-rgx=([A-Za-z_][A-Za-z0-9_]{2,30}|(__.*__))$
 
-# Naming hint for class attribute names
-class-attribute-name-hint=([A-Za-z_][A-Za-z0-9_]{2,30}|(__.*__))$
-
 # Regular expression matching correct inline iteration names
 inlinevar-rgx=[A-Za-z_][A-Za-z0-9_]*$
 
-# Naming hint for inline iteration names
-inlinevar-name-hint=[A-Za-z_][A-Za-z0-9_]*$
-
 # Regular expression which should only match function or class names that do
 # not require a docstring.
 no-docstring-rgx=^_
@@ -222,12 +182,6 @@ ignore-long-lines=^\s*(# )?<?https?://\S+>?$
 # else.
 single-line-if-stmt=no
 
-# List of optional constructs for which whitespace checking is disabled. `dict-
-# separator` is used to allow tabulation in dicts, etc.: {1  : 1,\n222: 2}.
-# `trailing-comma` allows a space between comma and closing bracket: (a, ).
-# `empty-line` allows space-only lines.
-no-space-check=trailing-comma,dict-separator
-
 # Maximum number of lines in a module
 max-module-lines=1000
 
diff --git a/constraints.txt b/constraints.txt
index 8448ac45c..bba3992ca 100644
--- a/constraints.txt
+++ b/constraints.txt
@@ -1,3 +1 @@
-astroid==2.5.6
-pylint==2.8.3
 numpy>=1.20.0
diff --git a/pyproject.toml b/pyproject.toml
index e7cd3e370..afa1ba679 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -1,3 +1,3 @@
 [tool.black]
 line-length = 100
-target-version = ['py37', 'py38', 'py39', 'py310']
\ No newline at end of file
+target-version = ['py37', 'py38', 'py39', 'py310', 'py311']
diff --git a/releasenotes/notes/add-python311-support-5b71a67a07606405.yaml b/releasenotes/notes/add-python311-support-5b71a67a07606405.yaml
new file mode 100644
index 000000000..157791e51
--- /dev/null
+++ b/releasenotes/notes/add-python311-support-5b71a67a07606405.yaml
@@ -0,0 +1,5 @@
+---
+upgrade:
+  - |
+    Added support for running with Python 3.11.
+    At the the time of the release, Sparse didn't have a python 3.11 version.
diff --git a/requirements-dev.txt b/requirements-dev.txt
index 7b8b459fd..15d24d792 100644
--- a/requirements-dev.txt
+++ b/requirements-dev.txt
@@ -2,7 +2,7 @@ coverage>=4.4.0
 matplotlib>=2.1
 seaborn
 black[jupyter]~=22.0
-pylint>=2.8.3,<2.14.0
+pylint>=2.15.0
 pylatexenc>=1.4
 stestr>=2.0.0
 ddt>=1.2.0,!=1.4.0
@@ -14,7 +14,7 @@ sphinx-autodoc-typehints<1.14.0
 sphinxcontrib-spelling
 jupyter-sphinx
 discover
-qiskit-aer>=0.11
+qiskit-aer>=0.11.2
 mypy>=0.981
 mypy-extensions>=0.4.3
 nbsphinx
diff --git a/requirements.txt b/requirements.txt
index f36cb519c..80af3205c 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1,4 +1,4 @@
-qiskit-terra>=0.22
+qiskit-terra>=0.22.2
 scipy>=1.4
 numpy>=1.17
 psutil>=5
diff --git a/setup.py b/setup.py
index d8ce1af23..e0a7f6805 100644
--- a/setup.py
+++ b/setup.py
@@ -61,6 +61,7 @@
         "Programming Language :: Python :: 3.8",
         "Programming Language :: Python :: 3.9",
         "Programming Language :: Python :: 3.10",
+        "Programming Language :: Python :: 3.11",
         "Topic :: Scientific/Engineering"
     ],
     keywords='qiskit sdk quantum machine learning ml',
@@ -70,7 +71,7 @@
     python_requires=">=3.7",
     extras_require={
         'torch': ["torch; python_version < '3.10'"],
-        'sparse': ["sparse"],
+        'sparse': ["sparse;python_version < '3.11'"],
     },
     zip_safe=False
 )
diff --git a/test/connectors/test_torch_networks.py b/test/connectors/test_torch_networks.py
index 867fd5285..a0140bee9 100644
--- a/test/connectors/test_torch_networks.py
+++ b/test/connectors/test_torch_networks.py
@@ -60,9 +60,12 @@ def forward(self, x):
         return Net()
 
     def _create_circuit_qnn(self) -> CircuitQNN:
-        output_shape, interpret = 2, lambda x: f"{x:b}".count("1") % 2
+        output_shape = 2
         num_inputs = 2
 
+        def interpret(x):
+            return f"{x:b}".count("1") % 2
+
         feature_map = ZZFeatureMap(num_inputs)
         ansatz = RealAmplitudes(num_inputs, entanglement="linear", reps=1)
 
@@ -111,9 +114,12 @@ def _create_estimator_qnn(self) -> EstimatorQNN:
         return qnn
 
     def _create_sampler_qnn(self) -> SamplerQNN:
-        output_shape, interpret = 2, lambda x: f"{x:b}".count("1") % 2
+        output_shape = 2
         num_inputs = 2
 
+        def interpret(x):
+            return f"{x:b}".count("1") % 2
+
         feature_map = ZZFeatureMap(num_inputs)
         ansatz = RealAmplitudes(num_inputs, entanglement="linear", reps=1)
 
diff --git a/tox.ini b/tox.ini
index 1a2f41ba2..69fc6b1d3 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,6 +1,6 @@
 [tox]
 minversion = 3.17
-envlist = py37, py38, py39, py310, lint, gpu, gpu-amd
+envlist = py37, py38, py39, py310, py311, lint, gpu, gpu-amd
 skipsdist = True
 
 [testenv]