diff --git a/docs/index.md b/docs/index.md
index 6042210c..f93609df 100644
--- a/docs/index.md
+++ b/docs/index.md
@@ -170,6 +170,13 @@ mitex.get_task_graph()
 
 ## Contents
 
+```{toctree}
+:caption: Overview:
+:maxdepth: 2
+
+tutorial.md
+```
+
 ```{toctree}
 :hidden:
 
diff --git a/docs/tutorial.md b/docs/tutorial.md
new file mode 100644
index 00000000..00b5ebc0
--- /dev/null
+++ b/docs/tutorial.md
@@ -0,0 +1,207 @@
+---
+file_format: mystnb
+kernelspec:
+  name: python3
+---
+
+# Tutorial
+
+```{code-cell} ipython3
+from pytket import Circuit
+from pytket.circuit.display import render_circuit_jupyter
+
+circ = Circuit(2,2).H(0).CX(0,1).measure_all()
+render_circuit_jupyter(circ)
+```
+
+```{code-cell} ipython3
+import pandas as pd
+import seaborn as sns
+import matplotlib.pyplot as plt
+
+def plot_state_probs(state):
+    state_dict = {'State':[i for i in range(len(result_state))], 'Probability':abs(state)**2}
+    state_df = pd.DataFrame(state_dict)
+    sns.catplot(x='State', y='Probability', kind='bar', data=state_df, aspect = 3, height=2)
+    plt.show()
+    
+def plot_counts(counts):
+    counts_record = [{"State":str(state), "Count":count} for state, count in counts.items()]
+    count_df = pd.DataFrame().from_records(counts_record)
+    sns.catplot(x='State', y='Count', kind='bar', data=count_df, aspect = 3, height=2)
+    plt.show()
+```
+
+```{code-cell} ipython3
+import qiskit_aer.noise as noise
+
+def depolarizing_noise_model(n_qubits, prob_1, prob_2, prob_ro):
+
+    noise_model = noise.NoiseModel()
+
+    error_2 = noise.depolarizing_error(prob_2, 2)
+    for edge in [[i,j] for i in range(n_qubits) for j in range(i)]:
+        noise_model.add_quantum_error(error_2, ['cx'], [edge[0], edge[1]])
+        noise_model.add_quantum_error(error_2, ['cx'], [edge[1], edge[0]])
+
+    error_1 = noise.depolarizing_error(prob_1, 1)
+    for node in range(n_qubits):
+        noise_model.add_quantum_error(error_1, ['h', 'rx', 'rz', 'u'], [node])
+        
+    probabilities = [[1-prob_ro, prob_ro],[prob_ro, 1-prob_ro]]
+    error_ro = noise.ReadoutError(probabilities)
+    for i in range(n_qubits):
+        noise_model.add_readout_error(error_ro, [i])
+        
+    return noise_model
+```
+
+```{code-cell} ipython3
+from qermit.taskgraph.mitex import gen_compiled_MitRes
+from pytket.extensions.qiskit import AerBackend
+from qermit import CircuitShots
+
+n_shots = 100000
+noisy_backend = AerBackend(
+    depolarizing_noise_model(5, 0.001, 0.01, 0.05)
+)
+noisy_mitres = gen_compiled_MitRes(noisy_backend, optimisation_level=0)
+
+circ_shots_list = [CircuitShots(circ, n_shots)]
+
+noisy_result_list = noisy_mitres.run(circ_shots_list)
+noisy_result_counts = noisy_result_list[0].get_counts()
+plot_counts(noisy_result_counts)
+```
+
+```{code-cell} ipython3
+noisy_mitres.get_task_graph()
+```
+
+```{code-cell} ipython3
+from qermit.spam import gen_UnCorrelated_SPAM_MitRes
+
+spam_mr = gen_UnCorrelated_SPAM_MitRes(noisy_backend, n_shots)
+spam_result_list = spam_mr.run(circ_shots_list)
+spam_result_counts = spam_result_list[0].get_counts()
+plot_counts(spam_result_counts)
+```
+
+```{code-cell} ipython3
+spam_mr.get_task_graph()
+```
+
+```{code-cell} ipython3
+import numpy as np
+from scipy.stats import unitary_group
+from pytket.circuit import Unitary2qBox
+
+def random_circ(n_qubits: int, depth: int, seed:int = None) -> Circuit:
+    
+    np.random.seed(seed)
+
+    c = Circuit(n_qubits)
+
+    for _ in range(depth):
+
+        qubits = np.random.permutation([i for i in range(n_qubits)])
+        qubit_pairs = [[qubits[i], qubits[i + 1]] for i in range(0, n_qubits - 1, 2)]
+
+        for pair in qubit_pairs:
+
+            # Generate random 4x4 unitary matrix.
+            SU4 = unitary_group.rvs(4)  # random unitary in SU4
+            SU4 = SU4 / (np.linalg.det(SU4) ** 0.25)
+            SU4 = np.matrix(SU4)
+
+            # Add gate corresponding to unitary.
+            c.add_unitary2qbox(Unitary2qBox(SU4), *pair)
+
+    return c
+```
+
+```{code-cell} ipython3
+n_qubits = 4
+rand_circ = random_circ(n_qubits,n_qubits,seed=23126)
+render_circuit_jupyter(rand_circ)
+```
+
+```{code-cell} ipython3
+from pytket.utils import QubitPauliOperator
+from qermit import (
+    AnsatzCircuit, SymbolsDict, 
+    ObservableExperiment, ObservableTracker,
+    MitEx
+)
+from pytket.pauli import Pauli, QubitPauliString
+from pytket import Qubit
+
+ideal_backend = AerBackend()
+ideal_mitex = MitEx(ideal_backend)
+
+qps = QubitPauliString(
+    [Qubit(i) for i in range(n_qubits)], 
+    [Pauli.Z for i in range(n_qubits)]
+)
+
+obs_exp = ObservableExperiment(
+    AnsatzCircuit(rand_circ, n_shots, SymbolsDict()),
+    ObservableTracker(QubitPauliOperator({qps:1}))
+)
+obs_exp_list = [obs_exp]
+
+ideal_expectation = ideal_mitex.run(obs_exp_list)
+print(f"Ideal expectation: {ideal_expectation[0]}")
+```
+
+```{code-cell} ipython3
+noisy_mitex = MitEx(noisy_backend)
+
+noisy_expectation = noisy_mitex.run(obs_exp_list)
+print(f"Noisy expectation: {noisy_expectation[0]}")
+```
+
+```{code-cell} ipython3
+from qermit.zero_noise_extrapolation import (
+    gen_ZNE_MitEx, Fit, Folding
+)
+
+zne_me = gen_ZNE_MitEx(
+    backend=noisy_backend, 
+    noise_scaling_list=[9,7,5,3,1], 
+    fit_type=Fit.exponential, 
+    folding_type=Folding.circuit,
+    show_fit=True,
+)
+```
+
+```{code-cell} ipython3
+import seaborn as sns 
+sns.set_style("whitegrid")
+```
+
+```{code-cell} ipython3
+zne_me.get_task_graph()
+```
+
+```{code-cell} ipython3
+zne_me.run(obs_exp_list)
+```
+
+```{code-cell} ipython3
+zne_spam_me = gen_ZNE_MitEx(
+    backend=noisy_backend, 
+    noise_scaling_list=[9,7,5,3,1], 
+    fit_type=Fit.exponential, 
+    show_fit=True,
+    experiment_mitres=spam_mr,
+)
+```
+
+```{code-cell} ipython3
+zne_spam_me.run(obs_exp_list)
+```
+
+```{code-cell} ipython3
+zne_spam_me.get_task_graph()
+```
\ No newline at end of file
diff --git a/poetry.lock b/poetry.lock
index 96931e56..9e580e06 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -35,21 +35,18 @@ files = [
 
 [[package]]
 name = "asttokens"
-version = "2.4.1"
+version = "3.0.0"
 description = "Annotate AST trees with source code positions"
 optional = true
-python-versions = "*"
+python-versions = ">=3.8"
 files = [
-    {file = "asttokens-2.4.1-py2.py3-none-any.whl", hash = "sha256:051ed49c3dcae8913ea7cd08e46a606dba30b79993209636c4875bc1d637bc24"},
-    {file = "asttokens-2.4.1.tar.gz", hash = "sha256:b03869718ba9a6eb027e134bfdf69f38a236d681c83c160d510768af11254ba0"},
+    {file = "asttokens-3.0.0-py3-none-any.whl", hash = "sha256:e3078351a059199dd5138cb1c706e6430c05eff2ff136af5eb4790f9d28932e2"},
+    {file = "asttokens-3.0.0.tar.gz", hash = "sha256:0dcd8baa8d62b0c1d118b399b2ddba3c4aff271d0d7a9e0d4c1681c79035bbc7"},
 ]
 
-[package.dependencies]
-six = ">=1.12.0"
-
 [package.extras]
-astroid = ["astroid (>=1,<2)", "astroid (>=2,<4)"]
-test = ["astroid (>=1,<2)", "astroid (>=2,<4)", "pytest"]
+astroid = ["astroid (>=2,<4)"]
+test = ["astroid (>=2,<4)", "pytest", "pytest-cov", "pytest-xdist"]
 
 [[package]]
 name = "attrs"
@@ -772,13 +769,13 @@ tests = ["asttokens (>=2.1.0)", "coverage", "coverage-enable-subprocess", "ipyth
 
 [[package]]
 name = "fastjsonschema"
-version = "2.21.0"
+version = "2.21.1"
 description = "Fastest Python implementation of JSON schema"
 optional = true
 python-versions = "*"
 files = [
-    {file = "fastjsonschema-2.21.0-py3-none-any.whl", hash = "sha256:5b23b8e7c9c6adc0ecb91c03a0768cb48cd154d9159378a69c8318532e0b5cbf"},
-    {file = "fastjsonschema-2.21.0.tar.gz", hash = "sha256:a02026bbbedc83729da3bfff215564b71902757f33f60089f1abae193daa4771"},
+    {file = "fastjsonschema-2.21.1-py3-none-any.whl", hash = "sha256:c9e5b7e908310918cf494a434eeb31384dd84a98b57a30bcb1f535015b554667"},
+    {file = "fastjsonschema-2.21.1.tar.gz", hash = "sha256:794d4f0a58f848961ba16af7b9c85a3e88cd360df008c59aac6fc5ae9323b5d4"},
 ]
 
 [package.extras]
@@ -786,61 +783,61 @@ devel = ["colorama", "json-spec", "jsonschema", "pylint", "pytest", "pytest-benc
 
 [[package]]
 name = "fonttools"
-version = "4.55.0"
+version = "4.55.2"
 description = "Tools to manipulate font files"
 optional = false
 python-versions = ">=3.8"
 files = [
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 version = "1.5.1"
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+version = "2.10.3"
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 [package.dependencies]
@@ -2627,13 +2711,13 @@ yaml = ["ruamel.yaml"]
 
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+version = "8.3.4"
 description = "pytest: simple powerful testing with Python"
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@@ -2775,17 +2859,17 @@ pytket = ">=1.34.0"
 
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-version = "0.60.0"
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+[[package]]
+name = "pytz"
+version = "2024.2"
+description = "World timezone definitions, modern and historical"
+optional = true
+python-versions = "*"
+files = [
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 version = "308"
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@@ -3531,6 +3639,27 @@ dev = ["cython-lint (>=0.12.2)", "doit (>=0.36.0)", "mypy (==1.10.0)", "pycodest
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+[[package]]
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+description = "Statistical data visualization"
+optional = true
+python-versions = ">=3.8"
+files = [
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+numpy = ">=1.20,<1.24.0 || >1.24.0"
+pandas = ">=1.2"
+
+[package.extras]
+dev = ["flake8", "flit", "mypy", "pandas-stubs", "pre-commit", "pytest", "pytest-cov", "pytest-xdist"]
+docs = ["ipykernel", "nbconvert", "numpydoc", "pydata_sphinx_theme (==0.10.0rc2)", "pyyaml", "sphinx (<6.0.0)", "sphinx-copybutton", "sphinx-design", "sphinx-issues"]
+stats = ["scipy (>=1.7)", "statsmodels (>=0.12)"]
+
 [[package]]
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 version = "75.6.0"
@@ -3553,13 +3682,13 @@ type = ["importlib_metadata (>=7.0.2)", "jaraco.develop (>=7.21)", "mypy (>=1.12
 
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+version = "1.17.0"
 description = "Python 2 and 3 compatibility utilities"
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 [[package]]
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 ]
 
+[[package]]
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+version = "2024.2"
+description = "Provider of IANA time zone data"
+optional = true
+python-versions = ">=2"
+files = [
+    {file = "tzdata-2024.2-py2.py3-none-any.whl", hash = "sha256:a48093786cdcde33cad18c2555e8532f34422074448fbc874186f0abd79565cd"},
+    {file = "tzdata-2024.2.tar.gz", hash = "sha256:7d85cc416e9382e69095b7bdf4afd9e3880418a2413feec7069d533d6b4e31cc"},
+]
+
 [[package]]
 name = "urllib3"
 version = "2.2.3"
@@ -4309,10 +4449,10 @@ test = ["big-O", "importlib-resources", "jaraco.functools", "jaraco.itertools",
 type = ["pytest-mypy"]
 
 [extras]
-docs = ["furo", "jupyter-sphinx", "myst-nb", "pytket-quantinuum", "sphinx", "sphinx-autodoc-typehints"]
+docs = ["furo", "jupyter-sphinx", "myst-nb", "pytket-quantinuum", "seaborn", "sphinx", "sphinx-autodoc-typehints"]
 tests = ["mypy", "pytest", "pytest-cov", "pytket-quantinuum", "qiskit-ibm-provider", "ruff"]
 
 [metadata]
 lock-version = "2.0"
 python-versions = ">=3.10,<3.14"
-content-hash = "518fb4ebd0da46487bbb8279c79d26e244c3459d43ab11e8506fbd7ab91095f6"
+content-hash = "2006afcd1087ed2e9d9ec136ee5c09c97b6a35b68a3999e8089682a82756cd83"
diff --git a/pyproject.toml b/pyproject.toml
index 3c052111..04dae132 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -15,7 +15,7 @@ readme = "README.md"
 
 [tool.poetry.dependencies]
 python = ">=3.10,<3.14"
-pytket-qiskit = "^0.60.0"
+pytket-qiskit = "0.58"
 matplotlib = "^3.8.3"
 
 pytest = { version = "^8.1.1", optional = true }
@@ -28,7 +28,8 @@ pytket-quantinuum = {extras = ["pecos"], version = "^0.41.0", optional = true}
 furo = { version = "^2024.8.6", optional = true }
 myst-nb = { version = "^1.1.2", optional = true}
 sphinx-autodoc-typehints = { version = "^2.5.0", optional = true }
-jupyter-sphinx = { version = "^0.5.3", optional = true}
+jupyter-sphinx = { version = "^0.5.3", optional = true }
+seaborn = {version = "^0.13.2", optional = true }
 
 [tool.poetry.extras]
 tests = [
@@ -45,7 +46,8 @@ docs = [
     "pytket-quantinuum",
     "myst-nb",
     "sphinx-autodoc-typehints",
-    "jupyter-sphinx"
+    "jupyter-sphinx",
+    "seaborn",
 ]
 
 [tool.ruff]