diff --git a/mitiq/interface/mitiq_pyquil/compiler.py b/mitiq/interface/mitiq_pyquil/compiler.py
index e98c2079eb..6fc8b83e83 100644
--- a/mitiq/interface/mitiq_pyquil/compiler.py
+++ b/mitiq/interface/mitiq_pyquil/compiler.py
@@ -10,19 +10,18 @@
 and modified to support a larger gateset (e.g. CPHASE).
 """
 
-from math import pi
-from typing import Any, Union, cast
+from typing import cast
 
 import numpy as np
 from pyquil.gates import CZ, RX, RZ, XY, I
-from pyquil.quil import FormalArgument, Program, Qubit, QubitPlaceholder
-from pyquil.quilbase import Expression, Gate
+from pyquil.quil import Program
+from pyquil.quilatom import ParameterDesignator, QubitDesignator
+from pyquil.quilbase import Gate
 
-QubitLike = Union[Qubit, QubitPlaceholder, FormalArgument]
-AngleLike = Union[Expression, Any, complex]
 
-
-def _CCNOT(q0: QubitLike, q1: QubitLike, q2: QubitLike) -> Program:
+def _CCNOT(
+    q0: QubitDesignator, q1: QubitDesignator, q2: QubitDesignator
+) -> Program:
     """
     A CCNOT in terms of RX(+-pi/2), RZ(theta), and CZ
 
@@ -50,7 +49,7 @@ def _CCNOT(q0: QubitLike, q1: QubitLike, q2: QubitLike) -> Program:
     return p
 
 
-def _CNOT(q0: QubitLike, q1: QubitLike) -> Program:
+def _CNOT(q0: QubitDesignator, q1: QubitDesignator) -> Program:
     """
     A CNOT in terms of RX(+-pi/2), RZ(theta), and CZ
 
@@ -65,7 +64,9 @@ def _CNOT(q0: QubitLike, q1: QubitLike) -> Program:
     return p
 
 
-def _CPHASE(angle: AngleLike, q0: QubitLike, q1: QubitLike) -> Program:
+def _CPHASE(
+    angle: ParameterDesignator, q0: QubitDesignator, q1: QubitDesignator
+) -> Program:
     """
     from quilc:
 
@@ -85,7 +86,7 @@ def _CPHASE(angle: AngleLike, q0: QubitLike, q1: QubitLike) -> Program:
     return p
 
 
-def _H(q: QubitLike) -> Program:
+def _H(q: QubitDesignator) -> Program:
     """
     A Hadamard in terms of RX(+-pi/2) and RZ(theta)
 
@@ -98,7 +99,7 @@ def _H(q: QubitLike) -> Program:
     return p
 
 
-def _ISWAP(q0: QubitLike, q1: QubitLike) -> Program:
+def _ISWAP(q0: QubitDesignator, q1: QubitDesignator) -> Program:
     """
     An ISWAP as an XY(pi). Of course, assumes XY is available.
     """
@@ -107,7 +108,7 @@ def _ISWAP(q0: QubitLike, q1: QubitLike) -> Program:
     return p
 
 
-def _PHASE(angle: AngleLike, q: QubitLike) -> Program:
+def _PHASE(angle: ParameterDesignator, q: QubitDesignator) -> Program:
     """
     from quilc:
 
@@ -119,38 +120,38 @@ def _PHASE(angle: AngleLike, q: QubitLike) -> Program:
     return p
 
 
-def _RX(angle: AngleLike, q: QubitLike) -> Program:
+def _RX(angle: ParameterDesignator, q: QubitDesignator) -> Program:
     """
     A RX in terms of native RX(+-pi/2) and RZ gates.
     """
     p = Program()
-    p += RZ(pi / 2, q)
-    p += RX(pi / 2, q)
+    p += RZ(np.pi / 2, q)
+    p += RX(np.pi / 2, q)
     p += RZ(angle, q)
-    p += RX(-pi / 2, q)
-    p += RZ(-pi / 2, q)
+    p += RX(-np.pi / 2, q)
+    p += RZ(-np.pi / 2, q)
     return p
 
 
-def _RY(angle: AngleLike, q: QubitLike) -> Program:
+def _RY(angle: ParameterDesignator, q: QubitDesignator) -> Program:
     """
     A RY in terms of RX(+-pi/2) and RZ(theta)
     """
     p = Program()
-    p += RX(pi / 2, q)
+    p += RX(np.pi / 2, q)
     p += RZ(angle, q)
-    p += RX(-pi / 2, q)
+    p += RX(-np.pi / 2, q)
     return p
 
 
-def _S(q: QubitLike) -> Program:
+def _S(q: QubitDesignator) -> Program:
     """
     An S in terms of RZ(theta)
     """
     return Program(RZ(np.pi / 2, q))
 
 
-def _SWAP(q0: QubitLike, q1: QubitLike) -> Program:
+def _SWAP(q0: QubitDesignator, q1: QubitDesignator) -> Program:
     """
     A SWAP in terms of _CNOT
 
@@ -165,7 +166,7 @@ def _SWAP(q0: QubitLike, q1: QubitLike) -> Program:
     return p
 
 
-def _T(q: QubitLike, dagger: bool = False) -> Program:
+def _T(q: QubitDesignator, dagger: bool = False) -> Program:
     """
     A T in terms of RZ(theta)
     """
@@ -175,7 +176,7 @@ def _T(q: QubitLike, dagger: bool = False) -> Program:
         return Program(RZ(np.pi / 4, q))
 
 
-def _X(q: QubitLike) -> Program:
+def _X(q: QubitDesignator) -> Program:
     """
     An X in terms of RX(pi)
 
@@ -187,7 +188,7 @@ def _X(q: QubitLike) -> Program:
     return p
 
 
-def _Y(q: QubitLike) -> Program:
+def _Y(q: QubitDesignator) -> Program:
     """
     A Y in terms of _RY
     """
@@ -196,7 +197,7 @@ def _Y(q: QubitLike) -> Program:
     return p
 
 
-def _Z(q: QubitLike) -> Program:
+def _Z(q: QubitDesignator) -> Program:
     """
     A Z in terms of RZ
     """
@@ -210,8 +211,8 @@ def is_magic_angle(angle: complex) -> bool:
     Checks to see if an angle is 0, +/-pi/2, or +/-pi.
     """
     return bool(
-        np.isclose(np.abs(angle), pi / 2)
-        or np.isclose(np.abs(angle), pi)
+        np.isclose(np.abs(angle), np.pi / 2)
+        or np.isclose(np.abs(angle), np.pi)
         or np.isclose(angle, 0.0)
     )
 
diff --git a/mitiq/interface/mitiq_pyquil/tests/test_conversions_pyquil.py b/mitiq/interface/mitiq_pyquil/tests/test_conversions_pyquil.py
index 26f7abdd6a..2dc49d415e 100644
--- a/mitiq/interface/mitiq_pyquil/tests/test_conversions_pyquil.py
+++ b/mitiq/interface/mitiq_pyquil/tests/test_conversions_pyquil.py
@@ -60,27 +60,24 @@ def test_to_pyquil_from_pyquil_parameterized():
 X 0
 Y 1
 Z 2
-RX(pi/2) 0
-RY(pi/2) 1
-RZ(pi/2) 2
+RX(1.5707963267948966) 0
+RY(1.5707963267948966) 1
+RZ(1.5707963267948966) 2
 H 0
 CZ 0 1
 CNOT 1 2
-CPHASE(pi/2) 0 1
-CPHASE00(pi/2) 1 2
-CPHASE01(pi/2) 0 1
-CPHASE10(pi/2) 1 2
+CPHASE(1.5707963267948966) 0 1
 ISWAP 0 1
 SWAP 1 2
-XY(pi/2) 0 1
+XY(1.5707963267948966) 0 1
 CCNOT 0 1 2
 CSWAP 0 1 2
 """
 
 
 def test_to_pyquil_from_pyquil_almost_all_gates():
-    """PHASE, PSWAP, S, T, declaration, and measurement don't convert back
-    and forth perfectly (in terms of labels -- the program unitaries and
+    """PHASE, PSWAP, CHPASEij, S, T, declaration, and measurement don't convert
+    back and forth perfectly (in terms of labels -- the program unitaries and
     number of measurements are equivalent)."""
     p = Program(MEASURELESS_QUIL_PROGRAM)
     assert p.out() == to_pyquil(from_pyquil(p)).out()
diff --git a/requirements/requirements-braket.txt b/requirements/requirements-braket.txt
index b9d45d00dd..9ca7d1d880 100644
--- a/requirements/requirements-braket.txt
+++ b/requirements/requirements-braket.txt
@@ -1,2 +1,2 @@
 amazon-braket-sdk~=1.69.0
-cirq-ionq>=1.4.0,<1.5.0
\ No newline at end of file
+cirq-ionq>=1.4.0,<1.5.0
diff --git a/requirements/requirements-pyquil.txt b/requirements/requirements-pyquil.txt
index 9e0041b3ed..ab4f6faca9 100644
--- a/requirements/requirements-pyquil.txt
+++ b/requirements/requirements-pyquil.txt
@@ -1,2 +1,2 @@
-pyquil~=3.5.4
-cirq-rigetti>=1.4.0,<1.5.0
\ No newline at end of file
+pyquil~=4.11.0
+cirq-rigetti>=1.4.0,<1.5.0