diff --git a/src/ATen/native/xpu/Blas.cpp b/src/ATen/native/xpu/Blas.cpp
new file mode 100644
index 000000000..7434a197a
--- /dev/null
+++ b/src/ATen/native/xpu/Blas.cpp
@@ -0,0 +1,310 @@
+#include <ATen/ATen.h>
+#include <ATen/xpu/XPUContext.h>
+#include <comm/Runtime.h>
+#include <oneapi/mkl/blas.hpp>
+#include <torch/library.h>
+
+namespace at::native {
+
+#if defined(USE_ONEMKL_XPU)
+
+at::Tensor& handle_output_copy(at::Tensor& out, const at::Tensor& result) {
+  if (!out.is_same(result)) {
+    if (out.sizes() == result.sizes()) {
+      out.copy_(result);
+    } else {
+      out.copy_(result.view(out.sizes()));
+    }
+  }
+
+  return out;
+}
+
+template <typename T>
+at::Tensor& mm_complex_out_xpu_impl(
+    const at::Tensor& self,
+    const at::Tensor& mat2,
+    at::Tensor& out) {
+  at::Tensor self_cont = self.contiguous().resolve_conj();
+  at::Tensor mat2_cont = mat2.contiguous().resolve_conj();
+  at::Tensor out_cont = out.contiguous().resolve_conj();
+
+  const int64_t m = self_cont.sizes().at(0);
+  const int64_t n = mat2_cont.sizes().at(1);
+  const int64_t k = self_cont.sizes().at(1);
+
+  constexpr std::complex<T> alpha = {T(1), T(0)};
+  constexpr std::complex<T> beta = {T(0), T(0)};
+
+  oneapi::mkl::blas::row_major::gemm(
+      c10::xpu::getCurrentXPUStream().queue(),
+      oneapi::mkl::transpose::nontrans,
+      oneapi::mkl::transpose::nontrans,
+      m,
+      n,
+      k,
+      alpha,
+      reinterpret_cast<const std::complex<T>*>(self_cont.const_data_ptr()),
+      k,
+      reinterpret_cast<const std::complex<T>*>(mat2_cont.const_data_ptr()),
+      n,
+      beta,
+      reinterpret_cast<std::complex<T>*>(out_cont.data_ptr()),
+      n);
+
+  return handle_output_copy(out, out_cont);
+}
+
+at::Tensor& mm_complex_out_xpu(
+    const at::Tensor& self,
+    const at::Tensor& mat2,
+    at::Tensor& out) {
+  c10::DeviceGuard guard(self.device());
+  TORCH_CHECK(
+      self.is_complex(), "_mm_mkl.out expects self to be a complex datatype.");
+
+  AT_DISPATCH_COMPLEX_TYPES(self.scalar_type(), "mm_complex_out_xpu", [&] {
+    using underlying_t = typename c10::scalar_value_type<scalar_t>::type;
+    mm_complex_out_xpu_impl<underlying_t>(self, mat2, out);
+  });
+
+  return out;
+}
+
+template <typename T>
+at::Tensor& bmm_complex_out_xpu_impl(
+    const at::Tensor& self,
+    const at::Tensor& mat2,
+    at::Tensor& out) {
+  at::Tensor self_cont = self.contiguous().resolve_conj();
+  at::Tensor mat2_cont = mat2.contiguous().resolve_conj();
+  at::Tensor out_cont = out.contiguous().resolve_conj();
+
+  const int64_t batch_size = self_cont.sizes().at(0);
+  const int64_t m = self_cont.sizes().at(1);
+  const int64_t n = mat2_cont.sizes().at(2);
+  const int64_t k = self_cont.sizes().at(2);
+
+  constexpr std::complex<T> alpha = {T(1), T(0)};
+  constexpr std::complex<T> beta = {T(0), T(0)};
+
+  oneapi::mkl::blas::row_major::gemm_batch(
+      c10::xpu::getCurrentXPUStream().queue(),
+      oneapi::mkl::transpose::nontrans,
+      oneapi::mkl::transpose::nontrans,
+      m,
+      n,
+      k,
+      alpha,
+      reinterpret_cast<const std::complex<T>*>(self_cont.const_data_ptr()),
+      k,
+      m * k,
+      reinterpret_cast<const std::complex<T>*>(mat2_cont.const_data_ptr()),
+      n,
+      k * n,
+      beta,
+      reinterpret_cast<std::complex<T>*>(out_cont.data_ptr()),
+      n,
+      m * n,
+      batch_size);
+
+  return handle_output_copy(out, out_cont);
+}
+
+at::Tensor& bmm_complex_out_xpu(
+    const at::Tensor& self,
+    const at::Tensor& mat2,
+    at::Tensor& out) {
+  c10::DeviceGuard guard(self.device());
+  TORCH_CHECK(
+      self.is_complex(), "_bmm_mkl.out expects self to be a complex datatype.");
+
+  AT_DISPATCH_COMPLEX_TYPES(self.scalar_type(), "bmm_complex_out_xpu", [&] {
+    using underlying_t = typename c10::scalar_value_type<scalar_t>::type;
+    bmm_complex_out_xpu_impl<underlying_t>(self, mat2, out);
+  });
+
+  return out;
+}
+
+template <typename T>
+at::Tensor& addmm_complex_out_xpu_impl(
+    const Tensor& self,
+    const Tensor& mat1,
+    const Tensor& mat2,
+    const Scalar& beta,
+    const Scalar& alpha,
+    Tensor& out) {
+  at::Tensor mat1_cont = mat1.contiguous().resolve_conj();
+  at::Tensor mat2_cont = mat2.contiguous().resolve_conj();
+  at::Tensor self_cont = self.contiguous().resolve_conj().clone().detach();
+
+  const int64_t m = mat1_cont.sizes().at(0);
+  const int64_t n = mat2_cont.sizes().at(1);
+  const int64_t k = mat1_cont.sizes().at(1);
+
+  if (k == 0) {
+    if (out.numel() == 0) {
+      return out;
+    }
+    if (beta.toComplexDouble() == 0.0) {
+      out.zero_();
+    } else {
+      if (!self.is_same(out)) {
+        out.copy_(self);
+      }
+      out.mul_(beta);
+    }
+    return out;
+  }
+
+  if (m == 0 || n == 0) {
+    return out;
+  }
+
+  const std::vector<int64_t> mm_output_size = {m, n};
+  if (self_cont.sizes() != mm_output_size) {
+    self_cont = at::broadcast_to(self_cont, mm_output_size).contiguous();
+  }
+
+  std::complex<T> complex_alpha =
+      static_cast<std::complex<T>>(alpha.toComplexDouble());
+  std::complex<T> complex_beta =
+      static_cast<std::complex<T>>(beta.toComplexDouble());
+
+  oneapi::mkl::blas::row_major::gemm(
+      c10::xpu::getCurrentXPUStream().queue(),
+      oneapi::mkl::transpose::nontrans,
+      oneapi::mkl::transpose::nontrans,
+      m,
+      n,
+      k,
+      complex_alpha,
+      reinterpret_cast<const std::complex<T>*>(mat1_cont.const_data_ptr()),
+      k,
+      reinterpret_cast<const std::complex<T>*>(mat2_cont.const_data_ptr()),
+      n,
+      complex_beta,
+      reinterpret_cast<std::complex<T>*>(self_cont.data_ptr()),
+      n);
+
+  return handle_output_copy(out, self_cont);
+}
+
+at::Tensor& addmm_complex_out_xpu(
+    const Tensor& self,
+    const Tensor& mat1,
+    const Tensor& mat2,
+    const Scalar& beta,
+    const Scalar& alpha,
+    Tensor& out) {
+  c10::DeviceGuard guard(self.device());
+  TORCH_CHECK(
+      self.is_complex(),
+      "_addmm_mkl.out expects self to be a complex datatype.");
+
+  AT_DISPATCH_COMPLEX_TYPES(self.scalar_type(), "addmm_complex_out_xpu", [&] {
+    using underlying_t = typename c10::scalar_value_type<scalar_t>::type;
+    addmm_complex_out_xpu_impl<underlying_t>(
+        self, mat1, mat2, beta, alpha, out);
+  });
+
+  return out;
+}
+
+template <typename T>
+at::Tensor& baddbmm_complex_out_xpu_impl(
+    const Tensor& self,
+    const Tensor& batch1,
+    const Tensor& batch2,
+    const Scalar& beta,
+    const Scalar& alpha,
+    Tensor& out) {
+  at::Tensor batch1_cont = batch1.contiguous().resolve_conj();
+  at::Tensor batch2_cont = batch2.contiguous().resolve_conj();
+  at::Tensor self_cont = self.contiguous().resolve_conj().clone().detach();
+
+  const int64_t batch_size = batch1_cont.sizes().at(0);
+  const int64_t m = batch1_cont.sizes().at(1);
+  const int64_t n = batch2_cont.sizes().at(2);
+  const int64_t k = batch1_cont.sizes().at(2);
+
+  const std::vector<int64_t> mm_output_size = {batch_size, m, n};
+  if (self_cont.sizes() != mm_output_size) {
+    self_cont = at::broadcast_to(self_cont, mm_output_size).contiguous();
+  }
+
+  std::complex<T> complex_alpha =
+      static_cast<std::complex<T>>(alpha.toComplexDouble());
+  std::complex<T> complex_beta =
+      static_cast<std::complex<T>>(beta.toComplexDouble());
+
+  oneapi::mkl::blas::row_major::gemm_batch(
+      c10::xpu::getCurrentXPUStream().queue(),
+      oneapi::mkl::transpose::nontrans,
+      oneapi::mkl::transpose::nontrans,
+      m,
+      n,
+      k,
+      complex_alpha,
+      reinterpret_cast<const std::complex<T>*>(batch1_cont.const_data_ptr()),
+      k,
+      m * k,
+      reinterpret_cast<const std::complex<T>*>(batch2_cont.const_data_ptr()),
+      n,
+      k * n,
+      complex_beta,
+      reinterpret_cast<std::complex<T>*>(self_cont.data_ptr()),
+      n,
+      m * n,
+      batch_size);
+
+  return handle_output_copy(out, self_cont);
+}
+
+at::Tensor& baddbmm_complex_out_xpu(
+    const Tensor& self,
+    const Tensor& batch1,
+    const Tensor& batch2,
+    const Scalar& beta,
+    const Scalar& alpha,
+    Tensor& out) {
+  c10::DeviceGuard guard(self.device());
+  TORCH_CHECK(
+      self.is_complex(),
+      "_baddbmm_mkl.out expects self to be a complex datatype.");
+
+  AT_DISPATCH_COMPLEX_TYPES(self.scalar_type(), "baddbmm_complex_out_xpu", [&] {
+    using underlying_t = typename c10::scalar_value_type<scalar_t>::type;
+    baddbmm_complex_out_xpu_impl<underlying_t>(
+        self, batch1, batch2, beta, alpha, out);
+  });
+
+  return out;
+}
+
+#endif // USE_ONEMKL_XPU
+
+TORCH_LIBRARY_FRAGMENT(aten, m) {
+  m.def(
+      "aten::_mm_mkl.out(Tensor self, Tensor mat2, *, Tensor(a!) out) -> Tensor(a!)");
+  m.def(
+      "aten::_bmm_mkl.out(Tensor self, Tensor mat2, *, Tensor(a!) out) -> Tensor(a!)");
+  m.def(
+      "aten::_addmm_mkl.out(Tensor self, Tensor mat1, Tensor mat2, *, Scalar beta=1, Scalar alpha=1, Tensor(a!) out) -> Tensor(a!)");
+  m.def(
+      "aten::_baddbmm_mkl.out(Tensor self, Tensor batch1, Tensor batch2, *, Scalar beta=1, Scalar alpha=1, Tensor(a!) out) -> Tensor(a!)");
+}
+
+#if defined(USE_ONEMKL_XPU)
+
+TORCH_LIBRARY_IMPL(aten, XPU, m) {
+  m.impl("aten::_mm_mkl.out", mm_complex_out_xpu);
+  m.impl("aten::_bmm_mkl.out", bmm_complex_out_xpu);
+  m.impl("aten::_addmm_mkl.out", addmm_complex_out_xpu);
+  m.impl("aten::_baddbmm_mkl.out", baddbmm_complex_out_xpu);
+}
+
+#endif // USE_ONEMKL_XPU
+
+} // namespace at::native