diff --git a/mlir/include/mlir/Conversion/ComplexToSPIRV/ComplexToSPIRV.h b/mlir/include/mlir/Conversion/ComplexToSPIRV/ComplexToSPIRV.h
new file mode 100644
--- /dev/null
+++ b/mlir/include/mlir/Conversion/ComplexToSPIRV/ComplexToSPIRV.h
@@ -0,0 +1,28 @@
+//===- ComplexToSPIRV.h - Complex to SPIR-V Patterns ------------*- C++ -*-===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+//
+// Provides patterns to convert Complex dialect to SPIR-V dialect.
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef MLIR_CONVERSION_COMPLEXTOSPIRV_COMPLEXTOSPIRV_H
+#define MLIR_CONVERSION_COMPLEXTOSPIRV_COMPLEXTOSPIRV_H
+
+#include "mlir/Transforms/DialectConversion.h"
+
+namespace mlir {
+class SPIRVTypeConverter;
+
+/// Appends to a pattern list additional patterns for translating Complex ops
+/// to SPIR-V ops.
+void populateComplexToSPIRVPatterns(SPIRVTypeConverter &typeConverter,
+                                    RewritePatternSet &patterns);
+
+} // namespace mlir
+
+#endif // MLIR_CONVERSION_COMPLEXTOSPIRV_COMPLEXTOSPIRV_H
diff --git a/mlir/include/mlir/Conversion/ComplexToSPIRV/ComplexToSPIRVPass.h b/mlir/include/mlir/Conversion/ComplexToSPIRV/ComplexToSPIRVPass.h
new file mode 100644
--- /dev/null
+++ b/mlir/include/mlir/Conversion/ComplexToSPIRV/ComplexToSPIRVPass.h
@@ -0,0 +1,26 @@
+//===- ComplexToSPIRVPass.h - Complex to SPIR-V Passes ----------*- C++ -*-===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+//
+// Provides passes to convert Complex dialect to SPIR-V dialect.
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef MLIR_CONVERSION_COMPLEXTOSPIRV_COMPLEXTOSPIRVPASS_H
+#define MLIR_CONVERSION_COMPLEXTOSPIRV_COMPLEXTOSPIRVPASS_H
+
+#include "mlir/Pass/Pass.h"
+
+namespace mlir {
+class ModuleOp;
+
+#define GEN_PASS_DECL_CONVERTCOMPLEXTOSPIRVPASS
+#include "mlir/Conversion/Passes.h.inc"
+
+} // namespace mlir
+
+#endif // MLIR_CONVERSION_COMPLEXTOSPIRV_COMPLEXTOSPIRVPASS_H
diff --git a/mlir/include/mlir/Conversion/Passes.h b/mlir/include/mlir/Conversion/Passes.h
--- a/mlir/include/mlir/Conversion/Passes.h
+++ b/mlir/include/mlir/Conversion/Passes.h
@@ -18,6 +18,7 @@
 #include "mlir/Conversion/BufferizationToMemRef/BufferizationToMemRef.h"
 #include "mlir/Conversion/ComplexToLLVM/ComplexToLLVM.h"
 #include "mlir/Conversion/ComplexToLibm/ComplexToLibm.h"
+#include "mlir/Conversion/ComplexToSPIRV/ComplexToSPIRVPass.h"
 #include "mlir/Conversion/ComplexToStandard/ComplexToStandard.h"
 #include "mlir/Conversion/ControlFlowToLLVM/ControlFlowToLLVM.h"
 #include "mlir/Conversion/ControlFlowToSPIRV/ControlFlowToSPIRV.h"
diff --git a/mlir/include/mlir/Conversion/Passes.td b/mlir/include/mlir/Conversion/Passes.td
--- a/mlir/include/mlir/Conversion/Passes.td
+++ b/mlir/include/mlir/Conversion/Passes.td
@@ -222,6 +222,15 @@
   ];
 }
 
+//===----------------------------------------------------------------------===//
+// ComplexToSPIRV
+//===----------------------------------------------------------------------===//
+
+def ConvertComplexToSPIRVPass : Pass<"convert-complex-to-spirv"> {
+  let summary = "Convert Complex dialect to SPIRV dialect";
+  let dependentDialects = ["spirv::SPIRVDialect"];
+}
+
 //===----------------------------------------------------------------------===//
 // ComplexToStandard
 //===----------------------------------------------------------------------===//
diff --git a/mlir/lib/Conversion/CMakeLists.txt b/mlir/lib/Conversion/CMakeLists.txt
--- a/mlir/lib/Conversion/CMakeLists.txt
+++ b/mlir/lib/Conversion/CMakeLists.txt
@@ -8,6 +8,7 @@
 add_subdirectory(BufferizationToMemRef)
 add_subdirectory(ComplexToLLVM)
 add_subdirectory(ComplexToLibm)
+add_subdirectory(ComplexToSPIRV)
 add_subdirectory(ComplexToStandard)
 add_subdirectory(ControlFlowToLLVM)
 add_subdirectory(ControlFlowToSPIRV)
diff --git a/mlir/lib/Conversion/ComplexToSPIRV/CMakeLists.txt b/mlir/lib/Conversion/ComplexToSPIRV/CMakeLists.txt
new file mode 100644
--- /dev/null
+++ b/mlir/lib/Conversion/ComplexToSPIRV/CMakeLists.txt
@@ -0,0 +1,21 @@
+add_mlir_conversion_library(MLIRComplexToSPIRV
+  ComplexToSPIRV.cpp
+  ComplexToSPIRVPass.cpp
+
+  ADDITIONAL_HEADER_DIRS
+  ${MLIR_MAIN_INCLUDE_DIR}/mlir/Dialect/SPIRV
+  ${MLIR_MAIN_INCLUDE_DIR}/mlir/IR
+
+  DEPENDS
+  MLIRConversionPassIncGen
+
+  LINK_LIBS PUBLIC
+  MLIRComplexDialect
+  MLIRIR
+  MLIRPass
+  MLIRSPIRVDialect
+  MLIRSPIRVConversion
+  MLIRSupport
+  MLIRTransformUtils
+  )
+
diff --git a/mlir/lib/Conversion/ComplexToSPIRV/ComplexToSPIRV.cpp b/mlir/lib/Conversion/ComplexToSPIRV/ComplexToSPIRV.cpp
new file mode 100644
--- /dev/null
+++ b/mlir/lib/Conversion/ComplexToSPIRV/ComplexToSPIRV.cpp
@@ -0,0 +1,92 @@
+//===- ComplexToSPIRV.cpp - Complex to SPIR-V Patterns --------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+//
+// This file implements patterns to convert Complex dialect to SPIR-V dialect.
+//
+//===----------------------------------------------------------------------===//
+
+#include "mlir/Conversion/ComplexToSPIRV/ComplexToSPIRV.h"
+#include "mlir/Dialect/Complex/IR/Complex.h"
+#include "mlir/Dialect/SPIRV/IR/SPIRVDialect.h"
+#include "mlir/Dialect/SPIRV/IR/SPIRVOps.h"
+#include "mlir/Dialect/SPIRV/Transforms/SPIRVConversion.h"
+#include "mlir/Transforms/DialectConversion.h"
+#include "llvm/Support/Debug.h"
+
+#define DEBUG_TYPE "complex-to-spirv-pattern"
+
+using namespace mlir;
+
+//===----------------------------------------------------------------------===//
+// Operation conversion
+//===----------------------------------------------------------------------===//
+
+namespace {
+
+struct CreateOpPattern final : OpConversionPattern<complex::CreateOp> {
+  using OpConversionPattern::OpConversionPattern;
+
+  LogicalResult
+  matchAndRewrite(complex::CreateOp createOp, OpAdaptor adaptor,
+                  ConversionPatternRewriter &rewriter) const override {
+    Type spirvType = getTypeConverter()->convertType(createOp.getType());
+    if (!spirvType)
+      return rewriter.notifyMatchFailure(createOp,
+                                         "unable to convert result type");
+
+    rewriter.replaceOpWithNewOp<spirv::CompositeConstructOp>(
+        createOp, spirvType, adaptor.getOperands());
+    return success();
+  }
+};
+
+struct ReOpPattern final : OpConversionPattern<complex::ReOp> {
+  using OpConversionPattern::OpConversionPattern;
+
+  LogicalResult
+  matchAndRewrite(complex::ReOp reOp, OpAdaptor adaptor,
+                  ConversionPatternRewriter &rewriter) const override {
+    Type spirvType = getTypeConverter()->convertType(reOp.getType());
+    if (!spirvType)
+      return rewriter.notifyMatchFailure(reOp, "unable to convert result type");
+
+    rewriter.replaceOpWithNewOp<spirv::CompositeExtractOp>(
+        reOp, adaptor.getComplex(), llvm::ArrayRef(0));
+    return success();
+  }
+};
+
+struct ImOpPattern final : OpConversionPattern<complex::ImOp> {
+  using OpConversionPattern::OpConversionPattern;
+
+  LogicalResult
+  matchAndRewrite(complex::ImOp imOp, OpAdaptor adaptor,
+                  ConversionPatternRewriter &rewriter) const override {
+    Type spirvType = getTypeConverter()->convertType(imOp.getType());
+    if (!spirvType)
+      return rewriter.notifyMatchFailure(imOp, "unable to convert result type");
+
+    rewriter.replaceOpWithNewOp<spirv::CompositeExtractOp>(
+        imOp, adaptor.getComplex(), llvm::ArrayRef(1));
+    return success();
+  }
+};
+
+} // namespace
+
+//===----------------------------------------------------------------------===//
+// Pattern population
+//===----------------------------------------------------------------------===//
+
+void mlir::populateComplexToSPIRVPatterns(SPIRVTypeConverter &typeConverter,
+                                          RewritePatternSet &patterns) {
+  MLIRContext *context = patterns.getContext();
+
+  patterns.add<CreateOpPattern, ReOpPattern, ImOpPattern>(typeConverter,
+                                                          context);
+}
diff --git a/mlir/lib/Conversion/ComplexToSPIRV/ComplexToSPIRVPass.cpp b/mlir/lib/Conversion/ComplexToSPIRV/ComplexToSPIRVPass.cpp
new file mode 100644
--- /dev/null
+++ b/mlir/lib/Conversion/ComplexToSPIRV/ComplexToSPIRVPass.cpp
@@ -0,0 +1,59 @@
+//===- ComplexToSPIRVPass.cpp - Complex to SPIR-V Passes ------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+//
+// This file implements a pass to convert Complex dialect to SPIR-V dialect.
+//
+//===----------------------------------------------------------------------===//
+
+#include "mlir/Conversion/ComplexToSPIRV/ComplexToSPIRVPass.h"
+
+#include "mlir/Conversion/ComplexToSPIRV/ComplexToSPIRV.h"
+#include "mlir/Dialect/SPIRV/IR/SPIRVDialect.h"
+#include "mlir/Dialect/SPIRV/Transforms/SPIRVConversion.h"
+
+namespace mlir {
+#define GEN_PASS_DEF_CONVERTCOMPLEXTOSPIRVPASS
+#include "mlir/Conversion/Passes.h.inc"
+} // namespace mlir
+
+using namespace mlir;
+
+namespace {
+/// A pass converting MLIR Complex operations into the SPIR-V dialect.
+class ConvertComplexToSPIRVPass
+    : public impl::ConvertComplexToSPIRVPassBase<ConvertComplexToSPIRVPass> {
+  void runOnOperation() override {
+    MLIRContext *context = &getContext();
+    Operation *op = getOperation();
+
+    auto targetAttr = spirv::lookupTargetEnvOrDefault(op);
+    std::unique_ptr<ConversionTarget> target =
+        SPIRVConversionTarget::get(targetAttr);
+
+    SPIRVConversionOptions options;
+    SPIRVTypeConverter typeConverter(targetAttr, options);
+
+    // Use UnrealizedConversionCast as the bridge so that we don't need to pull
+    // in patterns for other dialects.
+    auto addUnrealizedCast = [](OpBuilder &builder, Type type,
+                                ValueRange inputs, Location loc) {
+      auto cast = builder.create<UnrealizedConversionCastOp>(loc, type, inputs);
+      return std::optional<Value>(cast.getResult(0));
+    };
+    typeConverter.addSourceMaterialization(addUnrealizedCast);
+    typeConverter.addTargetMaterialization(addUnrealizedCast);
+    target->addLegalOp<UnrealizedConversionCastOp>();
+
+    RewritePatternSet patterns(context);
+    populateComplexToSPIRVPatterns(typeConverter, patterns);
+
+    if (failed(applyPartialConversion(op, *target, std::move(patterns))))
+      return signalPassFailure();
+  }
+};
+} // namespace
diff --git a/mlir/lib/Dialect/SPIRV/Transforms/SPIRVConversion.cpp b/mlir/lib/Dialect/SPIRV/Transforms/SPIRVConversion.cpp
--- a/mlir/lib/Dialect/SPIRV/Transforms/SPIRVConversion.cpp
+++ b/mlir/lib/Dialect/SPIRV/Transforms/SPIRVConversion.cpp
@@ -17,7 +17,6 @@
 #include "mlir/Dialect/SPIRV/IR/SPIRVOps.h"
 #include "mlir/Dialect/SPIRV/IR/SPIRVTypes.h"
 #include "mlir/Dialect/SPIRV/IR/TargetAndABI.h"
-#include "mlir/IR/BuiltinTypes.h"
 #include "mlir/Transforms/DialectConversion.h"
 #include "llvm/ADT/StringExtras.h"
 #include "llvm/Support/Debug.h"
diff --git a/mlir/test/Conversion/ComplexToSPIRV/complex-to-spirv.mlir b/mlir/test/Conversion/ComplexToSPIRV/complex-to-spirv.mlir
new file mode 100644
--- /dev/null
+++ b/mlir/test/Conversion/ComplexToSPIRV/complex-to-spirv.mlir
@@ -0,0 +1,40 @@
+// RUN: mlir-opt -split-input-file -convert-complex-to-spirv %s | FileCheck %s
+
+func.func @create_complex(%real: f32, %imag: f32) -> complex<f32> {
+  %0 = complex.create %real, %imag : complex<f32>
+  return %0 : complex<f32>
+}
+
+// CHECK-LABEL: func.func @create_complex
+//  CHECK-SAME: (%[[RE:.+]]: f32, %[[IM:.+]]: f32)
+//       CHECK:   %[[CC:.+]] = spirv.CompositeConstruct %[[RE]], %[[IM]] : (f32, f32) -> vector<2xf32>
+//       CHECK:   %[[CAST:.+]] = builtin.unrealized_conversion_cast %[[CC]] : vector<2xf32> to complex<f32>
+//       CHECK:   return %[[CAST]] : complex<f32>
+
+
+// -----
+
+func.func @real_number(%arg: complex<f32>) -> f32 {
+  %real = complex.re %arg : complex<f32>
+  return %real : f32
+}
+
+// CHECK-LABEL: func.func @real_number
+//  CHECK-SAME: %[[ARG:.+]]: complex<f32>
+//       CHECK:   %[[CAST:.+]] = builtin.unrealized_conversion_cast %[[ARG]] : complex<f32> to vector<2xf32>
+//       CHECK:   %[[RE:.+]] = spirv.CompositeExtract %[[CAST]][0 : i32] : vector<2xf32>
+//       CHECK:   return %[[RE]] : f32
+
+// -----
+
+func.func @imaginary_number(%arg: complex<f32>) -> f32 {
+  %imaginary = complex.im %arg : complex<f32>
+  return %imaginary: f32
+}
+
+// CHECK-LABEL: func.func @imaginary_number
+//  CHECK-SAME: %[[ARG:.+]]: complex<f32>
+//       CHECK:   %[[CAST:.+]] = builtin.unrealized_conversion_cast %[[ARG]] : complex<f32> to vector<2xf32>
+//       CHECK:   %[[IM:.+]] = spirv.CompositeExtract %[[CAST]][1 : i32] : vector<2xf32>
+//       CHECK:   return %[[IM]] : f32
+
diff --git a/utils/bazel/llvm-project-overlay/mlir/BUILD.bazel b/utils/bazel/llvm-project-overlay/mlir/BUILD.bazel
--- a/utils/bazel/llvm-project-overlay/mlir/BUILD.bazel
+++ b/utils/bazel/llvm-project-overlay/mlir/BUILD.bazel
@@ -2771,6 +2771,7 @@
         ":BufferizationToMemRef",
         ":ComplexToLLVM",
         ":ComplexToLibm",
+        ":ComplexToSPIRV",
         ":ComplexToStandard",
         ":ControlFlowToLLVM",
         ":ControlFlowToSPIRV",
@@ -7080,6 +7081,7 @@
         ":ComplexDialect",
         ":ComplexToLLVM",
         ":ComplexToLibm",
+        ":ComplexToSPIRV",
         ":ControlFlowDialect",
         ":ConversionPasses",
         ":DLTIDialect",
@@ -9593,6 +9595,31 @@
     ],
 )
 
+cc_library(
+    name = "ComplexToSPIRV",
+    srcs = glob([
+        "lib/Conversion/ComplexToSPIRV/*.cpp",
+        "lib/Conversion/ComplexToSPIRV/*.h",
+    ]),
+    hdrs = glob([
+        "include/mlir/Conversion/ComplexToSPIRV/*.h",
+    ]),
+    includes = ["include"],
+    deps = [
+        ":ComplexDialect",
+        ":ConversionPassIncGen",
+        ":IR",
+        ":Pass",
+        ":SPIRVCommonConversion",
+        ":SPIRVConversion",
+        ":SPIRVDialect",
+        ":Support",
+        ":Transforms",
+        "//llvm:Core",
+        "//llvm:Support",
+    ],
+)
+
 cc_library(
     name = "ComplexToStandard",
     srcs = glob([