diff --git a/Cargo.lock b/Cargo.lock
index de8972af084d..fcadf887b48f 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -1062,7 +1062,6 @@ dependencies = [
  "bytemuck",
  "libm",
  "num-complex",
- "pulp-macro",
  "reborrow",
 ]
 
@@ -1076,6 +1075,7 @@ dependencies = [
  "cfg-if",
  "libm",
  "num-complex",
+ "pulp-macro",
  "reborrow",
  "version_check",
 ]
@@ -1191,7 +1191,7 @@ dependencies = [
  "num-traits",
  "numpy",
  "once_cell",
- "pulp 0.18.22",
+ "pulp 0.21.4",
  "pyo3",
  "qiskit-circuit",
  "rand",
diff --git a/crates/accelerate/Cargo.toml b/crates/accelerate/Cargo.toml
index cc624e7750d6..ccb4f5e0941a 100644
--- a/crates/accelerate/Cargo.toml
+++ b/crates/accelerate/Cargo.toml
@@ -58,7 +58,7 @@ version = "0.2.0"
 features = ["ndarray"]
 
 [dependencies.pulp]
-version = "0.18.22"
+version = "0.21.4"
 features = ["macro"]
 
 [features]