diff --git a/mlx/backend/cuda/quantized/qmm/cute_dequant.cuh b/mlx/backend/cuda/quantized/qmm/cute_dequant.cuh
index e7f8dd30cf..7a1c6b106c 100644
--- a/mlx/backend/cuda/quantized/qmm/cute_dequant.cuh
+++ b/mlx/backend/cuda/quantized/qmm/cute_dequant.cuh
@@ -2,9 +2,137 @@
 
 #pragma once
 
+#include <cute/numeric/numeric_types.hpp>
 #include <cute/tensor.hpp>
 #include <cutlass/numeric_conversion.h>
 
+namespace cutlass {
+
+using uint3b_t = integer_subbyte<3, false>;
+using uint5b_t = integer_subbyte<5, false>;
+
+template <typename T, int N, FloatRoundStyle Round>
+struct NumericArrayConverter<T, uint3b_t, N, Round> {
+  static_assert(N % 8 == 0);
+
+  using result_type = Array<T, N>;
+  using source_type = Array<uint3b_t, N>;
+
+  CUTLASS_HOST_DEVICE
+  static result_type convert(const source_type& source) {
+    result_type result;
+    auto* s_base = reinterpret_cast<const uint8_t*>(&source);
+    CUTLASS_PRAGMA_UNROLL
+    for (int i = 0; i < N / 8; ++i) {
+      auto* s = s_base + i * 3;
+      result[i * 8] = T(s[0] & 0x07);
+      result[i * 8 + 1] = T((s[0] & 0x38) >> 3);
+      result[i * 8 + 2] = T((s[0] & 0xc0) >> 6) + T((s[1] & 0x01) << 2);
+      result[i * 8 + 3] = T((s[1] & 0x0e) >> 1);
+      result[i * 8 + 4] = T((s[1] & 0x70) >> 4);
+      result[i * 8 + 5] = T((s[1] & 0x80) >> 7) + T((s[2] & 0x03) << 1);
+      result[i * 8 + 6] = T((s[2] & 0x1c) >> 2);
+      result[i * 8 + 7] = T((s[2] & 0xe0) >> 5);
+    }
+    return result;
+  }
+
+  CUTLASS_HOST_DEVICE
+  result_type operator()(const source_type& s) const {
+    return convert(s);
+  }
+};
+
+template <typename T, int N, FloatRoundStyle Round>
+struct NumericArrayConverter<T, uint5b_t, N, Round> {
+  static_assert(N % 8 == 0);
+
+  using result_type = Array<T, N>;
+  using source_type = Array<uint5b_t, N>;
+
+  CUTLASS_HOST_DEVICE
+  static result_type convert(const source_type& source) {
+    result_type result;
+    auto* s_base = reinterpret_cast<const uint8_t*>(&source);
+    CUTLASS_PRAGMA_UNROLL
+    for (int i = 0; i < N / 8; ++i) {
+      auto* s = s_base + i * 5;
+      result[i * 8] = T(s[0] & 0x1f);
+      result[i * 8 + 1] = T((s[0] & 0xe0) >> 5) + T((s[1] & 0x03) << 3);
+      result[i * 8 + 2] = T((s[1] & 0x7c) >> 2);
+      result[i * 8 + 3] = T((s[1] & 0x80) >> 7) + T((s[2] & 0x0f) << 1);
+      result[i * 8 + 4] = T((s[2] & 0xf0) >> 4) + T((s[3] & 0x01) << 4);
+      result[i * 8 + 5] = T((s[3] & 0x3e) >> 1);
+      result[i * 8 + 6] = T((s[3] & 0xc0) >> 6) + T((s[4] & 0x07) << 2);
+      result[i * 8 + 7] = T((s[4] & 0xf8) >> 3);
+    }
+    return result;
+  }
+
+  CUTLASS_HOST_DEVICE
+  result_type operator()(const source_type& s) const {
+    return convert(s);
+  }
+};
+
+template <typename T, int N, FloatRoundStyle Round>
+struct NumericArrayConverter<T, uint6b_t, N, Round> {
+  static_assert(N % 4 == 0);
+
+  using result_type = Array<T, N>;
+  using source_type = Array<uint6b_t, N>;
+
+  CUTLASS_HOST_DEVICE
+  static result_type convert(const source_type& source) {
+    result_type result;
+    auto* s_base = reinterpret_cast<const uint8_t*>(&source);
+    CUTLASS_PRAGMA_UNROLL
+    for (int i = 0; i < N / 4; ++i) {
+      auto* s = s_base + i * 3;
+      result[i * 4] = T(s[0] & 0x3f);
+      result[i * 4 + 1] = T((s[0] >> 6) & 0x03) + T((s[1] & 0x0f) << 2);
+      result[i * 4 + 2] = T((s[1] >> 4) & 0x0f) + T((s[2] & 0x03) << 4);
+      result[i * 4 + 3] = T((s[2] >> 2) & 0x3f);
+    }
+    return result;
+  }
+
+  CUTLASS_HOST_DEVICE
+  result_type operator()(const source_type& s) const {
+    return convert(s);
+  }
+};
+
+} // namespace cutlass
+
+namespace cute {
+
+// Required by tiled copy for 3/5/6-bit weights.
+struct uint24_t {
+  std::array<std::uint8_t, 3> bytes;
+};
+struct uint40_t {
+  std::array<std::uint8_t, 5> bytes;
+};
+struct uint48_t {
+  std::array<std::uint8_t, 6> bytes;
+};
+
+template <>
+struct uint_bit<24> {
+  using type = uint24_t;
+};
+template <>
+struct uint_bit<40> {
+  using type = uint40_t;
+};
+template <>
+struct uint_bit<48> {
+  using type = uint48_t;
+};
+
+} // namespace cute
+
 namespace cutlass_gemm {
 
 // Whether the quant type is affine quantization.
diff --git a/mlx/backend/cuda/quantized/qmm/qmm.cu b/mlx/backend/cuda/quantized/qmm/qmm.cu
index 97a8f7f422..e6f7fc3215 100644
--- a/mlx/backend/cuda/quantized/qmm/qmm.cu
+++ b/mlx/backend/cuda/quantized/qmm/qmm.cu
@@ -80,7 +80,7 @@ void qmm_sm90(
     qmm_impl_sm90<TileShapeMN, ClusterShape>(
         x, w, scales, biases, out, bits, group_size, encoder, s);
   };
-  int m = out.shape(-2);
+  int m = out.ndim() > 1 ? out.shape(-2) : 1;
   if (m <= 16) {
     dispatch.template operator()<128, 16, 1>();
   } else if (m <= 32) {
@@ -163,7 +163,7 @@ void qmm_sm80(
     qmm_impl_sm80<TileM>(
         x, w, scales, biases, out, bits, group_size, mode, encoder);
   };
-  int m = out.shape(-2);
+  int m = out.ndim() > 1 ? out.shape(-2) : 1;
   if (m <= 16) {
     dispatch.template operator()<16>();
   } else if (m <= 32) {
@@ -208,9 +208,6 @@ bool supports_qmm_naive(
   if (biases && !biases->flags().row_contiguous) {
     return false;
   }
-  if (bits != 2 && bits != 4 && bits != 8) {
-    return false;
-  }
   return true;
 }
 
@@ -230,7 +227,7 @@ void qmm_naive(
         x, w, scales, biases, out, bits, group_size, mode, encoder);
   };
   dispatch_bool(transpose, [&](auto k_major) {
-    int m = out.shape(-2);
+    int m = out.ndim() > 1 ? out.shape(-2) : 1;
     if (m <= 16) {
       dispatch.template operator()<16, k_major.value>();
     } else if (m <= 32) {
diff --git a/mlx/backend/cuda/quantized/qmm/qmm_impl_naive.cuh b/mlx/backend/cuda/quantized/qmm/qmm_impl_naive.cuh
index fb187aa92d..cc387cfc8e 100644
--- a/mlx/backend/cuda/quantized/qmm/qmm_impl_naive.cuh
+++ b/mlx/backend/cuda/quantized/qmm/qmm_impl_naive.cuh
@@ -385,8 +385,14 @@ inline void dispatch_quant_types(
     dispatch_groups(group_size, tag, [&]<int group_size>() {
       if (bits == 2) {
         f.template operator()<cutlass::uint2b_t, T, group_size>();
+      } else if (bits == 3) {
+        f.template operator()<cutlass::uint3b_t, T, group_size>();
       } else if (bits == 4) {
         f.template operator()<cutlass::uint4b_t, T, group_size>();
+      } else if (bits == 5) {
+        f.template operator()<cutlass::uint5b_t, T, group_size>();
+      } else if (bits == 6) {
+        f.template operator()<cutlass::uint6b_t, T, group_size>();
       } else if (bits == 8) {
         f.template operator()<uint8_t, T, group_size>();
       } else {
@@ -409,7 +415,7 @@ void qmm_impl_naive(
     QuantizationMode mode,
     cu::CommandEncoder& encoder) {
   const char* tag = "[quantized_matmul]";
-  int m = out.shape(-2);
+  int m = out.ndim() > 1 ? out.shape(-2) : 1;
   int n = out.shape(-1);
   int k = x.shape(-1);
   int l = out.size() / (m * n);
diff --git a/mlx/backend/cuda/quantized/qmm/qmm_impl_sm80.cuh b/mlx/backend/cuda/quantized/qmm/qmm_impl_sm80.cuh
index 895cdfdb5c..679e4dadea 100644
--- a/mlx/backend/cuda/quantized/qmm/qmm_impl_sm80.cuh
+++ b/mlx/backend/cuda/quantized/qmm/qmm_impl_sm80.cuh
@@ -435,7 +435,7 @@ void qmm_impl_sm80(
     QuantizationMode mode,
     cu::CommandEncoder& encoder) {
   const char* tag = "[quantized_matmul]";
-  int m = out.shape(-2);
+  int m = out.ndim() > 1 ? out.shape(-2) : 1;
   int n = out.shape(-1);
   int k = x.shape(-1);
   int l = out.size() / (m * n);
diff --git a/mlx/backend/cuda/quantized/qmm/qmm_impl_sm90.cuh b/mlx/backend/cuda/quantized/qmm/qmm_impl_sm90.cuh
index bb29cdafc5..ce79dbceeb 100644
--- a/mlx/backend/cuda/quantized/qmm/qmm_impl_sm90.cuh
+++ b/mlx/backend/cuda/quantized/qmm/qmm_impl_sm90.cuh
@@ -189,7 +189,7 @@ void qmm_impl_sm90(
     cu::CommandEncoder& encoder,
     Stream s) {
   const char* tag = "[quantized_matmul]";
-  int m = out.shape(-2);
+  int m = out.ndim() > 1 ? out.shape(-2) : 1;
   int n = out.shape(-1);
   int k = x.shape(-1);
   int l = out.size() / (m * n);
diff --git a/mlx/backend/cuda/quantized/qmm/qmv.cu b/mlx/backend/cuda/quantized/qmm/qmv.cu
index c43e783b4e..ceda750a74 100644
--- a/mlx/backend/cuda/quantized/qmm/qmv.cu
+++ b/mlx/backend/cuda/quantized/qmm/qmv.cu
@@ -1,112 +1,12 @@
 // Copyright © 2026 Apple Inc.
 
 #include "mlx/backend/cuda/kernel_utils.cuh"
+#include "mlx/backend/cuda/quantized/qmm/cute_dequant.cuh"
 #include "mlx/backend/cuda/quantized/qmm/qmm.h"
 #include "mlx/dtype_utils.h"
 
 #include <cooperative_groups.h>
 #include <cooperative_groups/reduce.h>
-#include <cute/numeric/numeric_types.hpp>
-#include <cutlass/numeric_conversion.h>
-
-namespace cutlass {
-
-using uint3b_t = integer_subbyte<3, false>;
-using uint5b_t = integer_subbyte<5, false>;
-
-template <typename T, int N, FloatRoundStyle Round>
-struct NumericArrayConverter<T, uint3b_t, N, Round> {
-  static_assert(N % 8 == 0);
-
-  using result_type = Array<T, N>;
-  using source_type = Array<uint3b_t, N>;
-
-  CUTLASS_HOST_DEVICE
-  static result_type convert(const source_type& source) {
-    result_type result;
-    auto* s_base = reinterpret_cast<const uint8_t*>(&source);
-    CUTLASS_PRAGMA_UNROLL
-    for (int i = 0; i < N / 8; ++i) {
-      auto* s = s_base + i * 3;
-      result[i * 8] = T(s[0] & 0x07);
-      result[i * 8 + 1] = T((s[0] & 0x38) >> 3);
-      result[i * 8 + 2] = T((s[0] & 0xc0) >> 6) + T((s[1] & 0x01) << 2);
-      result[i * 8 + 3] = T((s[1] & 0x0e) >> 1);
-      result[i * 8 + 4] = T((s[1] & 0x70) >> 4);
-      result[i * 8 + 5] = T((s[1] & 0x80) >> 7) + T((s[2] & 0x03) << 1);
-      result[i * 8 + 6] = T((s[2] & 0x1c) >> 2);
-      result[i * 8 + 7] = T((s[2] & 0xe0) >> 5);
-    }
-    return result;
-  }
-
-  CUTLASS_HOST_DEVICE
-  result_type operator()(const source_type& s) const {
-    return convert(s);
-  }
-};
-
-template <typename T, int N, FloatRoundStyle Round>
-struct NumericArrayConverter<T, uint5b_t, N, Round> {
-  static_assert(N % 8 == 0);
-
-  using result_type = Array<T, N>;
-  using source_type = Array<uint5b_t, N>;
-
-  CUTLASS_HOST_DEVICE
-  static result_type convert(const source_type& source) {
-    result_type result;
-    auto* s_base = reinterpret_cast<const uint8_t*>(&source);
-    CUTLASS_PRAGMA_UNROLL
-    for (int i = 0; i < N / 8; ++i) {
-      auto* s = s_base + i * 5;
-      result[i * 8] = T(s[0] & 0x1f);
-      result[i * 8 + 1] = T((s[0] & 0xe0) >> 5) + T((s[1] & 0x03) << 3);
-      result[i * 8 + 2] = T((s[1] & 0x7c) >> 2);
-      result[i * 8 + 3] = T((s[1] & 0x80) >> 7) + T((s[2] & 0x0f) << 1);
-      result[i * 8 + 4] = T((s[2] & 0xf0) >> 4) + T((s[3] & 0x01) << 4);
-      result[i * 8 + 5] = T((s[3] & 0x3e) >> 1);
-      result[i * 8 + 6] = T((s[3] & 0xc0) >> 6) + T((s[4] & 0x07) << 2);
-      result[i * 8 + 7] = T((s[4] & 0xf8) >> 3);
-    }
-    return result;
-  }
-
-  CUTLASS_HOST_DEVICE
-  result_type operator()(const source_type& s) const {
-    return convert(s);
-  }
-};
-
-template <typename T, int N, FloatRoundStyle Round>
-struct NumericArrayConverter<T, uint6b_t, N, Round> {
-  static_assert(N % 4 == 0);
-
-  using result_type = Array<T, N>;
-  using source_type = Array<uint6b_t, N>;
-
-  CUTLASS_HOST_DEVICE
-  static result_type convert(const source_type& source) {
-    result_type result;
-    auto* s_base = reinterpret_cast<const uint8_t*>(&source);
-    CUTLASS_PRAGMA_UNROLL
-    for (int i = 0; i < N / 4; ++i) {
-      auto* s = s_base + i * 3;
-      result[i * 4] = T(s[0] & 0x3f);
-      result[i * 4 + 1] = T((s[0] >> 6) & 0x03) + T((s[1] & 0x0f) << 2);
-      result[i * 4 + 2] = T((s[1] >> 4) & 0x0f) + T((s[2] & 0x03) << 4);
-      result[i * 4 + 3] = T((s[2] >> 2) & 0x3f);
-    }
-    return result;
-  }
-
-  CUTLASS_HOST_DEVICE
-  result_type operator()(const source_type& s) const {
-    return convert(s);
-  }
-};
-
-} // namespace cutlass
 
 namespace mlx::core {
 
diff --git a/mlx/backend/cuda/quantized/quantized.cpp b/mlx/backend/cuda/quantized/quantized.cpp
index 31cd5038c2..507e7f1384 100644
--- a/mlx/backend/cuda/quantized/quantized.cpp
+++ b/mlx/backend/cuda/quantized/quantized.cpp
@@ -75,7 +75,7 @@ void QuantizedMatmul::eval_gpu(const std::vector<array>& inputs, array& out) {
     }
   };
 
-  int M = out.shape(-2);
+  int M = out.ndim() > 1 ? out.shape(-2) : 1;
   int N = out.shape(-1);
   int K = x.shape(-1);
   int B = out.size() / (M * N);
diff --git a/python/tests/cuda_skip.py b/python/tests/cuda_skip.py
index e666ec3389..8f91199b9b 100644
--- a/python/tests/cuda_skip.py
+++ b/python/tests/cuda_skip.py
@@ -27,7 +27,6 @@
     "TestQuantized.test_qmm_shapes",
     "TestQuantized.test_fp_qvm",
     "TestQuantized.test_qvm",
-    "TestQuantized.test_qvm_splitk",
     "TestQuantized.test_qmv_small_non_multiples",
     "TestQuantized.test_small_matrix",
     "TestExportImport.test_export_quantized_model",