diff --git a/poetry.lock b/poetry.lock
index 8c0ffb3..c49ada1 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -2725,17 +2725,17 @@ pytket = ">=1.39.0"
 
 [[package]]
 name = "pytket-qir"
-version = "0.19.0"
+version = "0.20.0"
 description = "Extension for pytket, providing functions for conversion into to qir"
 optional = false
 python-versions = ">=3.10"
 files = [
-    {file = "pytket_qir-0.19.0-py3-none-any.whl", hash = "sha256:0b9c8b53e691047d2ed9a438db8b849ee2353e6f665267e285548b977b3a858a"},
+    {file = "pytket_qir-0.20.0-py3-none-any.whl", hash = "sha256:429c0339bb8693208f427ada72207db442431302d54bdfd24d577a53e2e120fa"},
 ]
 
 [package.dependencies]
 pyqir = "0.10.6"
-pytket = ">=1.35.0rc0"
+pytket = ">=1.40.0,<2"
 
 [[package]]
 name = "pytket-qiskit"
@@ -2756,12 +2756,12 @@ qiskit-ibm-runtime = ">=0.30.0"
 
 [[package]]
 name = "pytket-quantinuum"
-version = "0.43.0"
+version = "0.44.0"
 description = "Extension for pytket, providing access to Quantinuum backends"
 optional = false
 python-versions = ">=3.10"
 files = [
-    {file = "pytket_quantinuum-0.43.0-py3-none-any.whl", hash = "sha256:590d0054a9beeb492758753f28c8717ffe5183d77ceacd700d456d2707bee409"},
+    {file = "pytket_quantinuum-0.44.0-py3-none-any.whl", hash = "sha256:b14b5f0e5801e44c78f826ea0d7a2ffa1553d8abe5016983efab67dec6e83ee5"},
 ]
 
 [package.dependencies]
@@ -2769,8 +2769,8 @@ msal = ">=1.18,<2.0"
 nest_asyncio = ">=1.2"
 numpy = ">=1.26.4"
 pyjwt = ">=2.4,<3.0"
-pytket = ">=1.39.0"
-pytket-qir = ">=0.17,<0.20"
+pytket = ">=1.40.0,<2"
+pytket-qir = ">=0.20,<0.21"
 requests = ">=2.32.2"
 types-requests = "*"
 websockets = ">=13.1"
@@ -4204,4 +4204,4 @@ type = ["pytest-mypy"]
 [metadata]
 lock-version = "2.0"
 python-versions = "~3.12"
-content-hash = "c3eb7f4942676fcf7c8f26375d3f08a4b4744a620a463f759364aec0508cc5d0"
+content-hash = "da4a90ddb04d6e33a2c9559df8dcd64e283a556461260f756ba23e30895cb9a1"
diff --git a/pyproject.toml b/pyproject.toml
index f859653..4b3457d 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -19,7 +19,7 @@ python = "~3.12"
 python-dotenv = "^1.0.1"
 pytket = "^1.40.0"
 pytket-qiskit = "^0.63.0"
-pytket-quantinuum = "^0.43.0"
+pytket-quantinuum = "^0.44.0"
 pydantic = ">=2.5.0,<2.10"
 qiskit = "^1.3.2"
 qiskit-device-benchmarking = { path = "submodules/qiskit-device-benchmarking" }