diff --git a/test/integration/test_integration.py b/test/integration/test_integration.py
index 5f34b761cd..3bc8ded793 100644
--- a/test/integration/test_integration.py
+++ b/test/integration/test_integration.py
@@ -61,7 +61,8 @@
     AQInt8DynamicallyQuantizedLinearWeight,
     AQWeightOnlyQuantizedLinearWeight,
     AQWeightOnlyQuantizedLinearWeight2,
-    AQWeightOnlyQuantizedLinearWeight3
+    AQWeightOnlyQuantizedLinearWeight3,
+    AutoQuantizableLinearWeight,
 
 )
 from torch.ao.quantization.quantize_fx import convert_to_reference_fx, prepare_fx
@@ -1471,6 +1472,44 @@ def forward(self, x, y):
         sqnr = SQNR(out, out2)
         self.assertTrue(sqnr >= 30)
 
+    @parameterized.expand(combine_parameters(COMMON_DEVICE_DTYPE,
+        [
+            (16, 128, 128),
+        ]))
+    @unittest.skipIf(not TORCH_VERSION_AFTER_2_3, "autoquant requires 2.3+.")
+    def test_autoquant_double_access(self, device, dtype, m, k, n):
+        if device != "cuda" and dtype != torch.bfloat16:
+            self.skipTest(f"autoquant currently does not support {device}")
+        if device != "cuda" or not torch.cuda.is_available():
+            self.skipTest(f"autoquant currently does not support {device}")
+        if torch.cuda.is_available() and torch.cuda.get_device_capability() < (8, 0):
+            if dtype == torch.bfloat16:
+                self.skipTest(f"bfloat16 requires sm80+")
+
+        class DoubleAccess(torch.nn.Module):
+            def __init__(self):
+                super().__init__()
+                self.lin1 = torch.nn.Linear(k, n)
+                self.lin2 = torch.nn.Linear(n, k)
+                self.lin3 = torch.nn.Linear(k, n)
+                self.lin3.weight = self.lin1.weight
+
+            def forward(self, x):
+                x = self.lin1(x)
+                x = self.lin2(x)
+                x = self.lin3(x)
+                return x
+
+        x_in = torch.randn(m, k, device=device, dtype=dtype)
+        model = DoubleAccess().to(device).to(dtype)
+        model(x_in)
+        torchao.autoquant(model)
+        assert not isinstance(model.lin1.weight.weight, AutoQuantizableLinearWeight)
+        model(x_in)
+
+
+
+
 class TestAOTI(unittest.TestCase):
     @parameterized.expand(
         list(itertools.product(TENSOR_SUBCLASS_APIS, COMMON_DEVICES, COMMON_DTYPES)),
diff --git a/torchao/quantization/autoquant.py b/torchao/quantization/autoquant.py
index 4c0ae53ce8..808f7d89d3 100644
--- a/torchao/quantization/autoquant.py
+++ b/torchao/quantization/autoquant.py
@@ -252,7 +252,7 @@ def _autoquant_test(cls, act_mat, weight, bias, best_time, mode=["relu", None]):
         )
         q_c_matmul=torch.compile(quantized_matmul, mode="max-autotune-no-cudagraphs")
         with torch.no_grad():
-            res_matmul = do_autoquant_bench(q_c_matmul, x_vals_int8, x_scales, w_qtensor.int_data)
+            res_matmul = do_autoquant_bench(q_c_matmul, x_vals_int8, x_scales.reshape(-1,1), w_qtensor.int_data)
         print(f">>time: {res_matmul:0.3f}ms for {cls} matmul, to_beat: {best_time:0.3f}ms")
 
         # if the (much faster) matmul kernel is already beat, don't bother benchmarking full op
@@ -384,7 +384,7 @@ def change_autoquantizable_to_quantized(model, **kwargs):
     torch._dynamo.reset()
 
 @torch.no_grad()
-def autoquant(model, example_input=None, qtensor_class_list=DEFAULT_CLASS_LIST, filter_fn=None, mode=["relu",None], **aq_kwargs):
+def autoquant(model, example_input=None, qtensor_class_list=DEFAULT_CLASS_LIST, filter_fn=None, mode=["interpolate", .85], **aq_kwargs):
     """
     wraps model in AutoQuantWrapper, if example_input is provided, runs forward on it, otherwise returns the wrapped model.
     AutoQuantWrapper handles instances where model is torch.compiled by first performing autoquantization on the original
diff --git a/torchao/quantization/quant_api.py b/torchao/quantization/quant_api.py
index a5a3a2b3db..20c52aa3f0 100644
--- a/torchao/quantization/quant_api.py
+++ b/torchao/quantization/quant_api.py
@@ -34,7 +34,7 @@
     Int4WeightOnlyGPTQQuantizer,
     Int4WeightOnlyQuantizer,
 )
-from .autoquant import autoquant
+from .autoquant import autoquant, AutoQuantizableLinearWeight
 
 
 __all__ = [
@@ -91,6 +91,7 @@ def _is_linear(mod, *args):
         isinstance(mod, torch.nn.Linear)
         and hasattr(mod, "weight")
         and not isinstance(mod.weight, QuantizedLinearWeightBase)
+        and not isinstance(mod.weight, AutoQuantizableLinearWeight)
     )