diff --git a/poetry.lock b/poetry.lock
index 028d437f65..7afa04f3c0 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -1,4 +1,4 @@
-# This file is automatically @generated by Poetry 1.8.3 and should not be changed by hand.
+# This file is automatically @generated by Poetry 1.8.2 and should not be changed by hand.
 
 [[package]]
 name = "absl-py"
@@ -5437,4 +5437,4 @@ torch = ["torch"]
 [metadata]
 lock-version = "2.0"
 python-versions = ">=3.9,<3.13"
-content-hash = "9f3c26545c71988fb416dd9ceaa64f3bbef35128b8f2679180e98bbf4686f70a"
+content-hash = "4dc8832d06e3f19fb0d77413028dd04361155d32bf26319422076c271f63eb38"
diff --git a/pyproject.toml b/pyproject.toml
index 8ee03f2113..e27bd3a05e 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -35,7 +35,7 @@ numpy = "^1.26.4"
 networkx = "^3.2.1"
 tensorflow = { version = "^2.16.1", markers = "sys_platform == 'linux' or sys_platform == 'darwin'", optional = true }
 torch = { version = "^2.1.1", optional = true }
-qulacs = { version = "^0.6.4", optional = true, markers="(sys_platform == 'darwin' and python_version > '3.10') or sys_platform != 'darwin'"}
+qulacs = { version = "^0.6.4", optional = true, markers="(sys_platform == 'darwin' and python_version > '3.9') or sys_platform != 'darwin'"}
 
 [tool.poetry.group.dev]
 optional = true
@@ -56,7 +56,7 @@ sphinx-markdown-tables = "^0.0.17"
 sphinx-copybutton = "^0.5.2"
 nbsphinx = "^0.8.12"
 ipython = "^8.10.0"
-qulacs = { version = "^0.6.4", markers="(sys_platform == 'darwin' and python_version > '3.10') or sys_platform != 'darwin'"}
+qulacs = { version = "^0.6.4", markers="(sys_platform == 'darwin' and python_version > '3.9') or sys_platform != 'darwin'"}
 
 [tool.poetry.group.tests]
 optional = true
@@ -74,7 +74,7 @@ torch = "^2.1.1"
 qibojit = { git = "https://github.com/qiboteam/qibojit.git" }
 qibotn = { git = "https://github.com/qiboteam/qibotn.git" }
 stim = "^1.12.0"
-qulacs = { version = "^0.6.4", markers="(sys_platform == 'darwin' and python_version > '3.10') or sys_platform != 'darwin'" }
+qulacs = { version = "^0.6.4", markers="(sys_platform == 'darwin' and python_version > '3.9') or sys_platform != 'darwin'" }
 
 [tool.poe.tasks]
 test = "pytest"