diff --git a/crates/accelerate/src/two_qubit_decompose.rs b/crates/accelerate/src/two_qubit_decompose.rs
index 798f03b7759e..3b363a6fbf37 100644
--- a/crates/accelerate/src/two_qubit_decompose.rs
+++ b/crates/accelerate/src/two_qubit_decompose.rs
@@ -52,11 +52,11 @@ use rand_distr::StandardNormal;
 use rand_pcg::Pcg64Mcg;
 
 use qiskit_circuit::gate_matrix::{CX_GATE, H_GATE, ONE_QUBIT_IDENTITY, SX_GATE, X_GATE};
-use qiskit_circuit::util::{c64, GateArray1Q, GateArray2Q, C_M_ONE, C_ONE, C_ZERO, IM, M_IM};
+use qiskit_circuit::util::{
+    c64, GateArray1Q, GateArray2Q, C_M_ONE, C_ONE, C_ZERO, IM, M_IM, PI2, PI4,
+};
 use qiskit_circuit::SliceOrInt;
 
-const PI2: f64 = PI / 2.0;
-const PI4: f64 = PI / 4.0;
 const PI32: f64 = 3.0 * PI2;
 const TWO_PI: f64 = 2.0 * PI;
 
diff --git a/crates/accelerate/src/uc_gate.rs b/crates/accelerate/src/uc_gate.rs
index 39af884859d8..7ac0a4c1375e 100644
--- a/crates/accelerate/src/uc_gate.rs
+++ b/crates/accelerate/src/uc_gate.rs
@@ -21,9 +21,8 @@ use ndarray::prelude::*;
 use numpy::{IntoPyArray, PyReadonlyArray2};
 
 use crate::euler_one_qubit_decomposer::det_one_qubit;
-use qiskit_circuit::util::{c64, C_ZERO, IM};
+use qiskit_circuit::util::{c64, C_ZERO, IM, PI2};
 
-const PI2: f64 = PI / 2.;
 const EPS: f64 = 1e-10;
 
 // These constants are the non-zero elements of an RZ gate's unitary with an
diff --git a/crates/circuit/src/gate_matrix.rs b/crates/circuit/src/gate_matrix.rs
index c3051368c0fa..744d1b39b132 100644
--- a/crates/circuit/src/gate_matrix.rs
+++ b/crates/circuit/src/gate_matrix.rs
@@ -10,7 +10,6 @@
 // copyright notice, and modified files need to carry a notice indicating
 // that they have been altered from the originals.
 
-use num_complex::Complex64;
 use std::f64::consts::FRAC_1_SQRT_2;
 
 use crate::util::{
diff --git a/crates/circuit/src/operations.rs b/crates/circuit/src/operations.rs
index af7dabc86216..9303c8771310 100644
--- a/crates/circuit/src/operations.rs
+++ b/crates/circuit/src/operations.rs
@@ -14,6 +14,7 @@ use std::f64::consts::PI;
 
 use crate::circuit_data::CircuitData;
 use crate::imports::{PARAMETER_EXPRESSION, QUANTUM_CIRCUIT};
+use crate::util::{PI2, PI4};
 use crate::{gate_matrix, Qubit};
 
 use ndarray::{aview2, Array2};
@@ -24,9 +25,6 @@ use pyo3::prelude::*;
 use pyo3::{intern, IntoPy, Python};
 use smallvec::smallvec;
 
-const PI2: f64 = PI / 2.0;
-const PI4: f64 = PI / 4.0;
-
 /// Valid types for an operation field in a CircuitInstruction
 ///
 /// These are basically the types allowed in a QuantumCircuit
diff --git a/crates/circuit/src/util.rs b/crates/circuit/src/util.rs
index 2e1c626a2eaa..31445a2babeb 100644
--- a/crates/circuit/src/util.rs
+++ b/crates/circuit/src/util.rs
@@ -10,7 +10,8 @@
 // copyright notice, and modified files need to carry a notice indicating
 // that they have been altered from the originals.
 
-use num_complex::{Complex, Complex64};
+use num_complex::Complex64;
+use std::f64::consts::PI;
 
 // This is a very conservative version of an abbreviation for constructing new Complex64.
 // A couple of alternatives to this function are
@@ -46,3 +47,6 @@ pub const C_ONE: Complex64 = c64(1., 0.);
 pub const C_M_ONE: Complex64 = c64(-1., 0.);
 pub const IM: Complex64 = c64(0., 1.);
 pub const M_IM: Complex64 = c64(0., -1.);
+
+pub const PI2: f64 = PI / 2.0;
+pub const PI4: f64 = PI / 4.0;