diff --git a/bitorch/layers/qactivation.py b/bitorch/layers/qactivation.py
index c6722c0..d93bc92 100644
--- a/bitorch/layers/qactivation.py
+++ b/bitorch/layers/qactivation.py
@@ -9,10 +9,13 @@
 
 
 class GradientCancellation(Function):
+    @staticmethod
+    def setup_context(ctx, inputs, output):
+        ctx.save_for_backward(inputs[0], torch.tensor(inputs[1], device=inputs[0].device))
+
     @staticmethod
     @typing.no_type_check
     def forward(
-        ctx: torch.autograd.function.BackwardCFunction,  # type: ignore
         input_tensor: torch.Tensor,
         threshold: float,
     ) -> torch.Tensor:
@@ -24,8 +27,7 @@ def forward(
         Returns:
             tensor: binarized input tensor
         """
-        ctx.save_for_backward(input_tensor, torch.tensor(threshold, device=input_tensor.device))
-        return input_tensor
+        return input_tensor.view_as(input_tensor)
 
     @staticmethod
     @typing.no_type_check
@@ -50,6 +52,34 @@ def backward(
         )
         return cancelled, None
 
+    @staticmethod
+    def vmap(info, in_dims, input_tensor, threshold):
+        """
+        Define behavior of the autograd function under vmap.
+
+        Args:
+            info: Information about vmap (e.g., batch_size).
+            in_dims: Tuple specifying the batch dimension for each input.
+            input_tensor: Batched input tensor (with batch dimension at in_dims[0]).
+            threshold: Scalar threshold (or batched threshold, depending on in_dims[1]).
+
+        Returns:
+            Tuple[output, out_dims]: Output tensor and its batch dimension.
+        """
+        # Ensure input_tensor has a batch dimension
+        input_batch_dim = in_dims[0]
+        if input_batch_dim is not None and input_batch_dim != 0:
+            input_tensor = input_tensor.movedim(input_batch_dim, 0)
+
+        # Ensure threshold has a batch dimension if provided
+        if in_dims[1] is not None:
+            threshold = threshold.movedim(in_dims[1], 0)
+
+        # Forward pass is a view operation, so return the input directly
+        output = input_tensor.view_as(input_tensor)
+        out_dims = 0  # Output has batch dimension at index 0
+
+        return output, out_dims
 
 class QActivation(nn.Module):
     """Activation layer for quantization"""
diff --git a/bitorch/layers/qconv2d.py b/bitorch/layers/qconv2d.py
index e01f06d..1595f30 100644
--- a/bitorch/layers/qconv2d.py
+++ b/bitorch/layers/qconv2d.py
@@ -13,6 +13,7 @@
 from .qactivation import QActivation
 from .qconv_mixin import QConvArgsProviderMixin
 from .register import QConv2dImplementation
+import copy
 
 
 class QConv2d_NoAct(Conv2d):  # type: ignore # noqa: N801
@@ -112,8 +113,14 @@ class _QConv2dComposed(DefaultImplementationMixin, QConv2dBase):
 
     To implement a custom QConv2d implementation use QConv2dBase as a super class instead.
     """
-
-    pass
+    def __deepcopy__(self, memo):
+        new_instance = self.__class__.__new__(self.__class__)
+        memo[id(self)] = new_instance
+        
+        for k, v in self.__dict__.items():
+            setattr(new_instance, k, copy.deepcopy(v, memo))
+        
+        return new_instance
 
 
 QConv2d: Type[_QConv2dComposed] = QConv2dImplementation(RuntimeMode.DEFAULT)(_QConv2dComposed)  # type: ignore
diff --git a/bitorch/quantizations/sign.py b/bitorch/quantizations/sign.py
index 99d45e7..f823bd7 100644
--- a/bitorch/quantizations/sign.py
+++ b/bitorch/quantizations/sign.py
@@ -8,10 +8,13 @@
 
 
 class SignFunction(STE):
+    @staticmethod
+    def setup_context(ctx, inputs, output):
+        pass
+
     @staticmethod
     @typing.no_type_check
     def forward(
-        ctx: torch.autograd.function.BackwardCFunction,  # type: ignore
         input_tensor: torch.Tensor,
     ) -> torch.Tensor:
         """Binarize the input tensor using the sign function.
@@ -27,6 +30,32 @@ def forward(
         sign_tensor = torch.where(sign_tensor == 0, torch.tensor(1.0, device=sign_tensor.device), sign_tensor)
         return sign_tensor
 
+    @staticmethod
+    def vmap(info, in_dims, input_tensor):
+        """
+        Vectorized implementation of the forward method for batched inputs.
+
+        Args:
+            info: Contains vmap-related information (batch_size, randomness).
+            in_dims (tuple): Specifies which dimension of `input_tensor` is the batch dimension.
+            input_tensor (torch.Tensor): Batched input tensor.
+
+        Returns:
+            Tuple[torch.Tensor, int]: The batched output tensor and the dimension of its batch.
+        """
+        # Ensure input_tensor has the batch dimension as the first dimension
+        input_batch_dim = in_dims[0] if in_dims[0] is not None else 0
+        if input_batch_dim != 0:
+            input_tensor = input_tensor.movedim(input_batch_dim, 0)
+
+        # Apply the sign and binarize operation across the batch
+        sign_tensor = torch.sign(input_tensor)
+        sign_tensor = torch.where(sign_tensor == 0, torch.tensor(1.0, device=sign_tensor.device), sign_tensor)
+
+        # Output has batch dimension at index 0
+        out_dims = 0
+        return sign_tensor, out_dims
+
 
 class Sign(Quantization):
     """Module for applying the sign function with straight through estimator in backward pass."""