diff --git a/mlir/include/mlir/Dialect/Quant/QuantTypes.h b/mlir/include/mlir/Dialect/Quant/QuantTypes.h
--- a/mlir/include/mlir/Dialect/Quant/QuantTypes.h
+++ b/mlir/include/mlir/Dialect/Quant/QuantTypes.h
@@ -196,7 +196,8 @@
 /// Note that for the any type, the expressed type is optional.
 class AnyQuantizedType
     : public Type::TypeBase<AnyQuantizedType, QuantizedType,
-                            detail::AnyQuantizedTypeStorage> {
+                            detail::AnyQuantizedTypeStorage,
+                            MemRefElementTypeInterface::Trait> {
 public:
   using Base::Base;
   using Base::getChecked;
@@ -255,7 +256,8 @@
 ///   ZeroPoint: An integer value
 class UniformQuantizedType
     : public Type::TypeBase<UniformQuantizedType, QuantizedType,
-                            detail::UniformQuantizedTypeStorage> {
+                            detail::UniformQuantizedTypeStorage,
+                            MemRefElementTypeInterface::Trait> {
 public:
   using Base::Base;
   using Base::getChecked;
@@ -313,7 +315,8 @@
 ///   ZeroPoint: An integer value
 class UniformQuantizedPerAxisType
     : public Type::TypeBase<UniformQuantizedPerAxisType, QuantizedType,
-                            detail::UniformQuantizedPerAxisTypeStorage> {
+                            detail::UniformQuantizedPerAxisTypeStorage,
+                            MemRefElementTypeInterface::Trait> {
 public:
   using Base::Base;
   using Base::getChecked;
@@ -382,7 +385,8 @@
 ///   quant.calibrated<f32<-0.922,0.981>>
 class CalibratedQuantizedType
     : public Type::TypeBase<CalibratedQuantizedType, QuantizedType,
-                            detail::CalibratedQuantizedTypeStorage> {
+                            detail::CalibratedQuantizedTypeStorage,
+                            MemRefElementTypeInterface::Trait> {
 public:
   using Base::Base;
   using Base::getChecked;
diff --git a/mlir/test/Dialect/Quant/parse-uniform.mlir b/mlir/test/Dialect/Quant/parse-uniform.mlir
--- a/mlir/test/Dialect/Quant/parse-uniform.mlir
+++ b/mlir/test/Dialect/Quant/parse-uniform.mlir
@@ -154,3 +154,11 @@
   %0 = "foo"() : () -> !qalias
   return %0 : !qalias
 }
+
+// -----
+// MemRef of quantized type
+// CHECK: memref<1x2x3x4x!quant.uniform<i8:f32:1, {2.000000e+02,9.987200e-01:120}>>
+!qalias = type !quant.uniform<i8:f32:1, {2.0e+2,0.99872:120}>
+func @parse(%arg : memref<1x2x3x4x!qalias>) {
+  return
+}