diff --git a/pyqtorch/__init__.py b/pyqtorch/__init__.py
index fd37fb3f..8945aff1 100644
--- a/pyqtorch/__init__.py
+++ b/pyqtorch/__init__.py
@@ -58,15 +58,10 @@
 from .embed import (
     ConcretizedCallable,
     Embedding,
-    add,
     cos,
-    div,
     log,
-    mul,
     sin,
     sqrt,
-    square,
-    sub,
     tan,
     tanh,
 )
diff --git a/pyqtorch/embed.py b/pyqtorch/embed.py
index 7473b04c..e47c2ac1 100644
--- a/pyqtorch/embed.py
+++ b/pyqtorch/embed.py
@@ -75,7 +75,7 @@ class ConcretizedCallable:
     def __init__(
         self,
         call_name: str,
-        abstract_args: list[str | float | int | ConcretizedCallable],
+        abstract_args: list[str | float | int | complex | ConcretizedCallable],
         instruction_mapping: dict[str, Tuple[str, str]] = dict(),
         engine_name: str = "torch",
         device: str = "cpu",
@@ -126,6 +126,59 @@ def evaluate(self, inputs: dict[str, ArrayLike] = dict()) -> ArrayLike:
     def __call__(self, inputs: dict[str, ArrayLike] = dict()) -> ArrayLike:
         return self.evaluate(inputs)
 
+    def __mul__(
+        self, other: str | int | float | complex | ConcretizedCallable
+    ) -> ConcretizedCallable:
+        return ConcretizedCallable("mul", [self, other])
+
+    def __rmul__(
+        self, other: str | int | float | ConcretizedCallable
+    ) -> ConcretizedCallable:
+        return ConcretizedCallable("mul", [other, self])
+
+    def __add__(
+        self, other: str | int | float | ConcretizedCallable
+    ) -> ConcretizedCallable:
+        return ConcretizedCallable("add", [self, other])
+
+    def __radd__(
+        self, other: str | int | float | ConcretizedCallable
+    ) -> ConcretizedCallable:
+        return ConcretizedCallable("add", [other, self])
+
+    def __sub__(
+        self, other: str | int | float | ConcretizedCallable
+    ) -> ConcretizedCallable:
+        return ConcretizedCallable("sub", [self, other])
+
+    def __rsub__(
+        self, other: str | int | float | ConcretizedCallable
+    ) -> ConcretizedCallable:
+        return ConcretizedCallable("sub", [other, self])
+
+    def __pow__(
+        self, other: str | int | float | ConcretizedCallable
+    ) -> ConcretizedCallable:
+        return ConcretizedCallable("pow", [self, other])
+
+    def __rpow__(
+        self, other: str | int | float | ConcretizedCallable
+    ) -> ConcretizedCallable:
+        return ConcretizedCallable("pow", [other, self])
+
+    def __truediv__(
+        self, other: str | int | float | ConcretizedCallable
+    ) -> ConcretizedCallable:
+        return ConcretizedCallable("div", [self, other])
+
+    def __rtruediv__(
+        self, other: str | int | float | ConcretizedCallable
+    ) -> ConcretizedCallable:
+        return ConcretizedCallable("div", [other, self])
+
+    def __neg__(self) -> ConcretizedCallable:
+        return -1 * self
+
     @property
     def device(self) -> str:
         return self._device
@@ -176,26 +229,6 @@ def sqrt(x: str | ConcretizedCallable):
     return ConcretizedCallable("sqrt", [x])
 
 
-def square(x: str | ConcretizedCallable):
-    return ConcretizedCallable("square", [x])
-
-
-def mul(x: str | ConcretizedCallable, y: str | ConcretizedCallable):
-    return ConcretizedCallable("mul", [x, y])
-
-
-def add(x: str | ConcretizedCallable, y: str | ConcretizedCallable):
-    return ConcretizedCallable("add", [x, y])
-
-
-def div(x: str | ConcretizedCallable, y: str | ConcretizedCallable):
-    return ConcretizedCallable("div", [x, y])
-
-
-def sub(x: str | ConcretizedCallable, y: str | ConcretizedCallable):
-    return ConcretizedCallable("sub", [x, y])
-
-
 class Embedding:
     """A class relating variational and feature parameters used in ConcretizedCallable instances to
     parameter names used in gates.