diff --git a/poetry.lock b/poetry.lock
index 81c1280a..18dd0ded 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -1,4 +1,4 @@
-# This file is automatically @generated by Poetry 1.7.1 and should not be changed by hand.
+# This file is automatically @generated by Poetry 1.8.3 and should not be changed by hand.
 
 [[package]]
 name = "accessible-pygments"
@@ -656,13 +656,13 @@ files = [
 
 [[package]]
 name = "jinja2"
-version = "3.1.3"
+version = "3.1.4"
 description = "A very fast and expressive template engine."
 optional = false
 python-versions = ">=3.7"
 files = [
-    {file = "Jinja2-3.1.3-py3-none-any.whl", hash = "sha256:7d6d50dd97d52cbc355597bd845fabfbac3f551e1f99619e39a35ce8c370b5fa"},
-    {file = "Jinja2-3.1.3.tar.gz", hash = "sha256:ac8bd6544d4bb2c9792bf3a159e80bba8fda7f07e81bc3aed565432d5925ba90"},
+    {file = "jinja2-3.1.4-py3-none-any.whl", hash = "sha256:bc5dd2abb727a5319567b7a813e6a2e7318c39f4f487cfe6c89c6f9c7d25197d"},
+    {file = "jinja2-3.1.4.tar.gz", hash = "sha256:4a3aee7acbbe7303aede8e9648d13b8bf88a429282aa6122a993f0ac800cb369"},
 ]
 
 [package.dependencies]
@@ -785,18 +785,19 @@ files = [
 ]
 
 [[package]]
-name = "lark-parser"
-version = "0.12.0"
+name = "lark"
+version = "1.2.2"
 description = "a modern parsing library"
 optional = false
-python-versions = "*"
+python-versions = ">=3.8"
 files = [
-    {file = "lark-parser-0.12.0.tar.gz", hash = "sha256:15967db1f1214013dca65b1180745047b9be457d73da224fcda3d9dd4e96a138"},
-    {file = "lark_parser-0.12.0-py2.py3-none-any.whl", hash = "sha256:0eaf30cb5ba787fe404d73a7d6e61df97b21d5a63ac26c5008c78a494373c675"},
+    {file = "lark-1.2.2-py3-none-any.whl", hash = "sha256:c2276486b02f0f1b90be155f2c8ba4a8e194d42775786db622faccd652d8e80c"},
+    {file = "lark-1.2.2.tar.gz", hash = "sha256:ca807d0162cd16cef15a8feecb862d7319e7a09bdb13aef927968e45040fed80"},
 ]
 
 [package.extras]
 atomic-cache = ["atomicwrites"]
+interegular = ["interegular (>=0.3.1,<0.4.0)"]
 nearley = ["js2py"]
 regex = ["regex"]
 
@@ -1557,42 +1558,46 @@ six = ">=1.5"
 
 [[package]]
 name = "pytket"
-version = "1.26.0"
-description = "Python module for interfacing with the CQC tket library of quantum software"
+version = "1.35.0"
+description = "Quantum computing toolkit and interface to the TKET compiler"
 optional = false
 python-versions = ">=3.10"
 files = [
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+    {file = "pytket-1.35.0-cp313-cp313-macosx_13_0_arm64.whl", hash = "sha256:cf20e4a33a8a2c3a0e1c3f0903446cfccf9796faace9fac9f1fbabcad936628e"},
+    {file = "pytket-1.35.0-cp313-cp313-macosx_13_0_x86_64.whl", hash = "sha256:9f6cd1606517801a12805386480fe42443324955402b1d848d88c8001d1bf8b4"},
+    {file = "pytket-1.35.0-cp313-cp313-manylinux_2_27_aarch64.manylinux_2_28_aarch64.whl", hash = "sha256:a1bc6908779ea466fb4e244c60751ec47c59601ebc7abe463a4824502e22581e"},
+    {file = "pytket-1.35.0-cp313-cp313-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl", hash = "sha256:facc040cc184305266ba3c1459775f616ec4451ee65d74c9fde12b9fe7fe0ac6"},
+    {file = "pytket-1.35.0-cp313-cp313-win_amd64.whl", hash = "sha256:777e50fbedad96734499d00216c1ef88fabb8302d0f3742434e27772a4ac5e87"},
 ]
 
 [package.dependencies]
-graphviz = ">=0.14,<1.0"
-jinja2 = ">=3.0,<4.0"
-lark-parser = ">=0.7,<1.0"
+graphviz = ">=0.20.3"
+jinja2 = ">=3.1.4"
+lark = ">=1.1.9"
 networkx = ">=2.8.8"
-numpy = ">=1.21.4,<2.0"
-qwasm = ">=1.0,<2.0"
-scipy = ">=1.7.2,<2.0"
-sympy = ">=1.6,<2.0"
-types-pkg-resources = "*"
-typing-extensions = ">=4.2,<5.0"
+numpy = ">=1.26.4"
+qwasm = ">=1.0.1"
+scipy = ">=1.13.1"
+sympy = ">=1.12.1"
+typing-extensions = ">=4.12.2"
 
 [package.extras]
-zx = ["autoray (>=0.6.1)", "quimb (>=1.5,<2.0)"]
+zx = ["autoray (>=0.6.12)", "numba (>=0.60.0)", "quimb (>=1.8.2)"]
 
 [[package]]
 name = "pytket-qir"
@@ -1610,22 +1615,20 @@ pytket = ">=1.26,<2.0"
 
 [[package]]
 name = "pytket-qiskit"
-version = "0.50.0"
+version = "0.59.0"
 description = "Extension for pytket, providing translation to and from the Qiskit framework"
 optional = false
 python-versions = ">=3.10"
 files = [
-    {file = "pytket_qiskit-0.50.0-py3-none-any.whl", hash = "sha256:5966642e49700ca540c996af3db72933a59b6a1c47684e6dde9f2640e15790fb"},
+    {file = "pytket_qiskit-0.59.0-py3-none-any.whl", hash = "sha256:d24833aceb5ebd8206fca6f5018d8ee8d9f8835811dbf1e3f228791e3e8cc669"},
 ]
 
 [package.dependencies]
-numpy = "*"
-pytket = ">=1.25,<2.0"
-qiskit = ">=1.0,<2.0"
-qiskit-aer = ">=0.13.3,<0.14.0"
-qiskit-algorithms = ">=0.3.0,<0.4.0"
-qiskit-ibm-provider = ">=0.10.0,<0.11.0"
-qiskit-ibm-runtime = ">=0.21.0,<0.22.0"
+numpy = ">=1.26.4"
+pytket = ">=1.34.0"
+qiskit = ">=1.2.4"
+qiskit-aer = ">=0.15.1"
+qiskit-ibm-runtime = ">=0.30.0"
 
 [[package]]
 name = "pytket-quantinuum"
@@ -1652,32 +1655,32 @@ pecos = ["pytket-pecos (>=0.1.21,<0.2.0)"]
 
 [[package]]
 name = "qiskit"
-version = "1.0.2"
+version = "1.2.4"
 description = "An open-source SDK for working with quantum computers at the level of extended quantum circuits, operators, and primitives."
 optional = false
 python-versions = ">=3.8"
 files = [
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+    {file = "qiskit-1.2.4-cp38-abi3-manylinux_2_17_i686.manylinux2014_i686.whl", hash = "sha256:2c8d9fa7fdb0cf7727f27a1881cc9f9be7de2b6aaf7cab6861686e1a6e34d6c8"},
+    {file = "qiskit-1.2.4-cp38-abi3-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl", hash = "sha256:3a973089d54f379006df8ae9b0d406e909e02b11a9390b3e2f50aefd5e8070eb"},
+    {file = "qiskit-1.2.4-cp38-abi3-manylinux_2_17_s390x.manylinux2014_s390x.whl", hash = "sha256:409b43d48e33e5bbc316fd85f44f29a71db2d5ff802affabc5ee355fe9573d7e"},
+    {file = "qiskit-1.2.4-cp38-abi3-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:a66303ab4f939080ca0b8c4102040a89417a99f2621978c7bca8b1d5f6c6e103"},
+    {file = "qiskit-1.2.4-cp38-abi3-win32.whl", hash = "sha256:93aa20398c5ab79adb4baf89a76d034a7c608fcc5bcbbd77355314378583e56a"},
+    {file = "qiskit-1.2.4-cp38-abi3-win_amd64.whl", hash = "sha256:87175e179bbaa3d2e280f14fe90efa77d6d7521d58ee5afd9528ec6716a6d8e6"},
+    {file = "qiskit-1.2.4.tar.gz", hash = "sha256:3f30b1fc6c66dec240428991da75cc6c35cc75152baff8daf3f8ca71b60684e8"},
 ]
 
 [package.dependencies]
 dill = ">=0.3"
-numpy = ">=1.17,<2"
+numpy = ">=1.17,<3"
 python-dateutil = ">=2.8.0"
-rustworkx = ">=0.14.0"
+rustworkx = ">=0.15.0"
 scipy = ">=1.5"
 stevedore = ">=3.0.0"
-symengine = ">=0.11"
+symengine = ">=0.11,<0.14"
 sympy = ">=1.3"
 typing-extensions = "*"
 
@@ -1690,89 +1693,64 @@ visualization = ["Pillow (>=4.2.1)", "matplotlib (>=3.3)", "pydot", "pylatexenc
 
 [[package]]
 name = "qiskit-aer"
-version = "0.13.3"
+version = "0.15.1"
 description = "Aer - High performance simulators for Qiskit"
 optional = false
 python-versions = ">=3.7"
 files = [
-    {file = "qiskit-aer-0.13.3.tar.gz", hash = "sha256:c1f7e5e3c1c219544e9cb73d426e5ffb8ee118eef87e9dcdccca7521e3ef53ec"},
-    {file = "qiskit_aer-0.13.3-cp310-cp310-macosx_10_9_x86_64.whl", hash = "sha256:c2ed41d01314142a7d3ab52a7f70375df4fc2d5322d7d00673b76dae32accd3e"},
-    {file = "qiskit_aer-0.13.3-cp310-cp310-macosx_11_0_arm64.whl", hash = "sha256:9dbd3b29b4b18a1ea061af06113b0aab92917d41d48f60488c1ad565e993339d"},
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-    {file = "qiskit_aer-0.13.3-cp310-cp310-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl", hash = "sha256:d76f770509ab1e2319dda2dee6b0562d567b2b6e524bce38963fc9446501d0fc"},
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 ]
 
 [package.dependencies]
 numpy = ">=1.16.3"
 psutil = ">=5"
-qiskit = ">=0.45.0"
+qiskit = ">=1.1.0"
 scipy = ">=1.0"
 
-[package.extras]
-dask = ["dask", "distributed"]
-
-[[package]]
-name = "qiskit-algorithms"
-version = "0.3.0"
-description = "Qiskit Algorithms: A library of quantum computing algorithms"
-optional = false
-python-versions = ">=3.8"
-files = [
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-]
-
-[package.dependencies]
-numpy = ">=1.17"
-qiskit = ">=0.44"
-scipy = ">=1.4"
-
 [[package]]
 name = "qiskit-ibm-provider"
 version = "0.10.0"
 description = "Qiskit IBM Quantum Provider for accessing the quantum devices and simulators at IBM"
-optional = false
+optional = true
 python-versions = ">=3.8"
 files = [
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@@ -1795,26 +1773,29 @@ visualization = ["ipython (>=5.0.0)", "ipyvue (>=1.8.5)", "ipyvuetify (>=1.1)",
 
 [[package]]
 name = "qiskit-ibm-runtime"
-version = "0.21.2"
+version = "0.33.2"
 description = "IBM Quantum client for Qiskit Runtime."
 optional = false
 python-versions = ">=3.8"
 files = [
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 ]
 
 [package.dependencies]
 ibm-platform-services = ">=0.22.6"
 numpy = ">=1.13"
-pydantic = "*"
+pydantic = ">=2.5.0"
 python-dateutil = ">=2.8.0"
-qiskit = ">=1.0.0"
+qiskit = ">=1.1.0"
 requests = ">=2.19"
 requests-ntlm = ">=1.1.0"
 urllib3 = ">=1.21.1"
 websocket-client = ">=1.5.1"
 
+[package.extras]
+visualization = ["plotly (>=5.23.0)"]
+
 [[package]]
 name = "qwasm"
 version = "1.0.1"
@@ -1868,76 +1849,27 @@ requests = ">=2.0.0"
 
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-version = "0.14.2"
+version = "0.15.1"
 description = "A python graph library implemented in Rust"
 optional = false
 python-versions = ">=3.8"
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 ]
 
 [package.dependencies]
-numpy = ">=1.16.0,<2"
+numpy = ">=1.16.0,<3"
 
 [package.extras]
 all = ["matplotlib (>=3.0)", "pillow (>=5.4)"]
@@ -1946,45 +1878,53 @@ mpl = ["matplotlib (>=3.0)"]
 
 [[package]]
 name = "scipy"
-version = "1.13.0"
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 description = "Fundamental algorithms for scientific computing in Python"
 optional = false
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+    {file = "scipy-1.14.1.tar.gz", hash = "sha256:5a275584e726026a5699459aa72f828a610821006228e841b94275c4a7c08417"},
 ]
 
 [package.dependencies]
-numpy = ">=1.22.4,<2.3"
+numpy = ">=1.23.5,<2.3"
 
 [package.extras]
-dev = ["cython-lint (>=0.12.2)", "doit (>=0.36.0)", "mypy", "pycodestyle", "pydevtool", "rich-click", "ruff", "types-psutil", "typing_extensions"]
-doc = ["jupyterlite-pyodide-kernel", "jupyterlite-sphinx (>=0.12.0)", "jupytext", "matplotlib (>=3.5)", "myst-nb", "numpydoc", "pooch", "pydata-sphinx-theme (>=0.15.2)", "sphinx (>=5.0.0)", "sphinx-design (>=0.4.0)"]
-test = ["array-api-strict", "asv", "gmpy2", "hypothesis (>=6.30)", "mpmath", "pooch", "pytest", "pytest-cov", "pytest-timeout", "pytest-xdist", "scikit-umfpack", "threadpoolctl"]
+dev = ["cython-lint (>=0.12.2)", "doit (>=0.36.0)", "mypy (==1.10.0)", "pycodestyle", "pydevtool", "rich-click", "ruff (>=0.0.292)", "types-psutil", "typing_extensions"]
+doc = ["jupyterlite-pyodide-kernel", "jupyterlite-sphinx (>=0.13.1)", "jupytext", "matplotlib (>=3.5)", "myst-nb", "numpydoc", "pooch", "pydata-sphinx-theme (>=0.15.2)", "sphinx (>=5.0.0,<=7.3.7)", "sphinx-design (>=0.4.0)"]
+test = ["Cython", "array-api-strict (>=2.0)", "asv", "gmpy2", "hypothesis (>=6.30)", "meson", "mpmath", "ninja", "pooch", "pytest", "pytest-cov", "pytest-timeout", "pytest-xdist", "scikit-umfpack", "threadpoolctl"]
 
 [[package]]
 name = "setuptools"
@@ -2282,17 +2222,20 @@ files = [
 
 [[package]]
 name = "sympy"
-version = "1.12"
+version = "1.13.3"
 description = "Computer algebra system (CAS) in Python"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "sympy-1.12-py3-none-any.whl", hash = "sha256:c3588cd4295d0c0f603d0f2ae780587e64e2efeedb3521e46b9bb1d08d184fa5"},
-    {file = "sympy-1.12.tar.gz", hash = "sha256:ebf595c8dac3e0fdc4152c51878b498396ec7f30e7a914d6071e674d49420fb8"},
+    {file = "sympy-1.13.3-py3-none-any.whl", hash = "sha256:54612cf55a62755ee71824ce692986f23c88ffa77207b30c1368eda4a7060f73"},
+    {file = "sympy-1.13.3.tar.gz", hash = "sha256:b27fd2c6530e0ab39e275fc9b683895367e51d5da91baa8d3d64db2565fec4d9"},
 ]
 
 [package.dependencies]
-mpmath = ">=0.19"
+mpmath = ">=1.1.0,<1.4"
+
+[package.extras]
+dev = ["hypothesis (>=6.70.0)", "pytest (>=7.1.0)"]
 
 [[package]]
 name = "tomli"
@@ -2305,17 +2248,6 @@ files = [
     {file = "tomli-2.0.1.tar.gz", hash = "sha256:de526c12914f0c550d15924c62d72abc48d6fe7364aa87328337a31007fe8a4f"},
 ]
 
-[[package]]
-name = "types-pkg-resources"
-version = "0.1.3"
-description = "Typing stubs for pkg_resources"
-optional = false
-python-versions = "*"
-files = [
-    {file = "types-pkg_resources-0.1.3.tar.gz", hash = "sha256:834a9b8d3dbea343562fd99d5d3359a726f6bf9d3733bccd2b4f3096fbab9dae"},
-    {file = "types_pkg_resources-0.1.3-py2.py3-none-any.whl", hash = "sha256:0cb9972cee992249f93fff1a491bf2dc3ce674e5a1926e27d4f0866f7d9b6d9c"},
-]
-
 [[package]]
 name = "types-requests"
 version = "2.31.0.20240406"
@@ -2332,13 +2264,13 @@ urllib3 = ">=2"
 
 [[package]]
 name = "typing-extensions"
-version = "4.11.0"
+version = "4.12.2"
 description = "Backported and Experimental Type Hints for Python 3.8+"
 optional = false
 python-versions = ">=3.8"
 files = [
-    {file = "typing_extensions-4.11.0-py3-none-any.whl", hash = "sha256:c1f94d72897edaf4ce775bb7558d5b79d8126906a14ea5ed1635921406c0387a"},
-    {file = "typing_extensions-4.11.0.tar.gz", hash = "sha256:83f085bd5ca59c80295fc2a82ab5dac679cbe02b9f33f7d83af68e241bea51b0"},
+    {file = "typing_extensions-4.12.2-py3-none-any.whl", hash = "sha256:04e5ca0351e0f3f85c6853954072df659d0d13fac324d0072316b67d7794700d"},
+    {file = "typing_extensions-4.12.2.tar.gz", hash = "sha256:1a7ead55c7e559dd4dee8856e3a88b41225abfe1ce8df57b7c13915fe121ffb8"},
 ]
 
 [[package]]
@@ -2456,10 +2388,10 @@ files = [
 ]
 
 [extras]
-docs = ["sphinx", "sphinx-book-theme"]
+docs = ["pytket-quantinuum", "sphinx", "sphinx-book-theme"]
 tests = ["flake8", "mypy", "pytest", "pytest-cov", "pytket-quantinuum", "qiskit-ibm-provider"]
 
 [metadata]
 lock-version = "2.0"
 python-versions = ">=3.10, <3.13"
-content-hash = "a68761a5658cd51dc14895ccdc65e026a4a58ba96da017de6187f08f129e9c42"
+content-hash = "dd09a57be6cbfd4659a04d36ca0374466ba33b3f932bd24add5894888401472c"
diff --git a/pyproject.toml b/pyproject.toml
index afd3b2ed..28530c35 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -15,7 +15,7 @@ readme = "README.md"
 
 [tool.poetry.dependencies]
 python = ">=3.10, <3.13"
-pytket-qiskit = "^0.50.0"
+pytket-qiskit = "^0.59.0"
 matplotlib = "^3.8.3"
 
 pytest = {version="^8.1.1", optional=true}