diff --git a/qiskit/qasm/libs/stdgates.inc b/qiskit/qasm/libs/stdgates.inc
index 512793b9cce..058d6cfc200 100644
--- a/qiskit/qasm/libs/stdgates.inc
+++ b/qiskit/qasm/libs/stdgates.inc
@@ -1,51 +1,58 @@
-// OpenQASM 3 standard gate library
+// OpenQASM 3.0 standard gate library
+//
+// Vendored from the OpenQASM 3.0 project at
+// https://github.com/openqasm/openqasm.git@4ca1d793833b24a1.
+//
+// Used under the terms of its Apache-2.0 license.
+// Copyright 2017-2024 OpenQASM Contributors.
+
 
 // phase gate
-gate p(lambda) a { ctrl @ gphase(lambda) a; }
+gate p(λ) a { ctrl @ gphase(λ) a; }
 
 // Pauli gate: bit-flip or NOT gate
-gate x a { U(pi, 0, pi) a; }
+gate x a { U(π, 0, π) a; gphase(-π/2);}
 // Pauli gate: bit and phase flip
-gate y a { U(pi, pi/2, pi/2) a; }
-// Pauli gate: phase flip
-gate z a { p(pi) a; }
+gate y a { U(π, π/2, π/2) a; gphase(-π/2);}
+ // Pauli gate: phase flip
+gate z a { p(π) a; }
 
 // Clifford gate: Hadamard
-gate h a { U(pi/2, 0, pi) a; }
+gate h a { U(π/2, 0, π) a; gphase(-π/4);}
 // Clifford gate: sqrt(Z) or S gate
-gate s a { pow(1/2) @ z a; }
+gate s a { pow(0.5) @ z a; }
 // Clifford gate: inverse of sqrt(Z)
-gate sdg a { inv @ pow(1/2) @ z a; }
+gate sdg a { inv @ pow(0.5) @ z a; }
 
 // sqrt(S) or T gate
-gate t a { pow(1/2) @ s a; }
+gate t a { pow(0.5) @ s a; }
 // inverse of sqrt(S)
-gate tdg a { inv @ pow(1/2) @ s a; }
+gate tdg a { inv @ pow(0.5) @ s a; }
 
 // sqrt(NOT) gate
-gate sx a { pow(1/2) @ x a; }
+gate sx a { pow(0.5) @ x a; }
 
 // Rotation around X-axis
-gate rx(theta) a { U(theta, -pi/2, pi/2) a; }
+gate rx(θ) a { U(θ, -π/2, π/2) a; gphase(-θ/2);}
 // rotation around Y-axis
-gate ry(theta) a { U(theta, 0, 0) a; }
+gate ry(θ) a { U(θ, 0, 0) a; gphase(-θ/2);}
 // rotation around Z axis
-gate rz(lambda) a { gphase(-lambda/2); U(0, 0, lambda) a; }
+gate rz(λ) a { gphase(-λ/2); U(0, 0, λ) a; }
 
 // controlled-NOT
-gate cx c, t { ctrl @ x c, t; }
+gate cx a, b { ctrl @ x a, b; }
 // controlled-Y
 gate cy a, b { ctrl @ y a, b; }
 // controlled-Z
 gate cz a, b { ctrl @ z a, b; }
 // controlled-phase
-gate cp(lambda) a, b { ctrl @ p(lambda) a, b; }
+gate cp(λ) a, b { ctrl @ p(λ) a, b; }
 // controlled-rx
-gate crx(theta) a, b { ctrl @ rx(theta) a, b; }
+gate crx(θ) a, b { ctrl @ rx(θ) a, b; }
 // controlled-ry
-gate cry(theta) a, b { ctrl @ ry(theta) a, b; }
+gate cry(θ) a, b { ctrl @ ry(θ) a, b; }
 // controlled-rz
-gate crz(theta) a, b { ctrl @ rz(theta) a, b; }
+gate crz(θ) a, b { ctrl @ rz(θ) a, b; }
 // controlled-H
 gate ch a, b { ctrl @ h a, b; }
 
@@ -57,19 +64,19 @@ gate ccx a, b, c { ctrl @ ctrl @ x a, b, c; }
 // controlled-swap
 gate cswap a, b, c { ctrl @ swap a, b, c; }
 
-// four parameter controlled-U gate with relative phase
-gate cu(theta, phi, lambda, gamma) c, t { p(gamma) c; ctrl @ U(theta, phi, lambda) c, t; }
+// four parameter controlled-U gate with relative phase γ
+gate cu(θ, φ, λ, γ) a, b { p(γ-θ/2) a; ctrl @ U(θ, φ, λ) a, b; }
 
 // Gates for OpenQASM 2 backwards compatibility
 // CNOT
-gate CX c, t { ctrl @ U(pi, 0, pi) c, t; }
+gate CX a, b { ctrl @ U(π, 0, π) a, b; }
 // phase gate
-gate phase(lambda) q { U(0, 0, lambda) q; }
+gate phase(λ) q { U(0, 0, λ) q; }
 // controlled-phase
-gate cphase(lambda) a, b { ctrl @ phase(lambda) a, b; }
+gate cphase(λ) a, b { ctrl @ phase(λ) a, b; }
 // identity or idle gate
 gate id a { U(0, 0, 0) a; }
 // IBM Quantum experience gates
-gate u1(lambda) q { U(0, 0, lambda) q; }
-gate u2(phi, lambda) q { gphase(-(phi+lambda)/2); U(pi/2, phi, lambda) q; }
-gate u3(theta, phi, lambda) q { gphase(-(phi+lambda)/2); U(theta, phi, lambda) q; }
\ No newline at end of file
+gate u1(λ) q { U(0, 0, λ) q; }
+gate u2(φ, λ) q { gphase(-(φ+λ+π/2)/2); U(π/2, φ, λ) q; }
+gate u3(θ, φ, λ) q { gphase(-(φ+λ+θ)/2); U(θ, φ, λ) q; }
diff --git a/releasenotes/notes/update-qasm3-lib-40e15bc24234970d.yaml b/releasenotes/notes/update-qasm3-lib-40e15bc24234970d.yaml
new file mode 100644
index 00000000000..2e65b89637f
--- /dev/null
+++ b/releasenotes/notes/update-qasm3-lib-40e15bc24234970d.yaml
@@ -0,0 +1,7 @@
+---
+features_qasm:
+  - |
+    The vendored version of the OpenQASM 3.0 standard library has been
+    updated to match `the state as of commit 4ca1d79383 <https://github.com/openqasm/openqasm/blob/4ca1d793833b24a195dcb8a5db99f1bd21b0d32f/examples/stdgates.inc>`__.
+    This should generally have no effect on your use of Qiskit, unless you
+    were retrieving our vendored file for your own use.