diff --git a/.github/workflows/test_latest_versions.yml b/.github/workflows/test_latest_versions.yml
index cc0d062..1944108 100644
--- a/.github/workflows/test_latest_versions.yml
+++ b/.github/workflows/test_latest_versions.yml
@@ -18,13 +18,12 @@ jobs:
     runs-on: ${{ matrix.os }}
     timeout-minutes: 30
     strategy:
+      # Keep going after one cell fails, so a macOS-only or version-only break is
+      # visible as exactly that rather than masking the rest of the matrix.
+      fail-fast: false
       max-parallel: 4
       matrix:
-        # Only Linux for now: the extension modules must compile against an MPI
-        # implementation and a BLAS, and the apt packages installed below are
-        # Debian/Ubuntu specific. macOS would additionally need libomp, since Apple
-        # clang ships without OpenMP support.
-        os: [ubuntu-latest]
+        os: [ubuntu-latest, macos-latest]
         python-version: ["3.10", "3.11", "3.12", "3.13", "3.14"]
     steps:
       - uses: actions/checkout@v7
@@ -36,10 +35,19 @@ jobs:
         uses: actions/setup-python@v7
         with:
           python-version: ${{ matrix.python-version }}
-      - name: Install MPI and BLAS
+      - name: Install MPI and BLAS (Linux)
+        if: runner.os == 'Linux'
         run: |
           sudo apt-get update
           sudo apt-get install -y libopenmpi-dev openmpi-bin libopenblas-dev
+      - name: Install MPI and BLAS (macOS)
+        if: runner.os == 'macOS'
+        # libomp on top of the Linux set: Apple clang ships without OpenMP, which the
+        # CPU extension needs. openblas is present on the runner images but keg-only,
+        # so setup.py locates it under `brew --prefix` rather than expecting it on the
+        # default library path.
+        run: |
+          brew install open-mpi libomp openblas
       - name: Install dependencies
         run: |
           python -m pip install --upgrade pip
diff --git a/pyproject.toml b/pyproject.toml
index 039b5d1..5eb1ba3 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -14,6 +14,8 @@ keywords = ["quantum chemistry", "diagonalization", "tensor product basis", "MPI
 classifiers = [
     "Development Status :: 4 - Beta",
     "Intended Audience :: Science/Research",
+    "Operating System :: POSIX :: Linux",
+    "Operating System :: MacOS :: MacOS X",
     "Topic :: Scientific/Engineering :: Chemistry",
     "Topic :: Scientific/Engineering :: Physics",
     "Programming Language :: Python :: 3",
diff --git a/setup.py b/setup.py
index ad09404..507e161 100644
--- a/setup.py
+++ b/setup.py
@@ -13,6 +13,7 @@
 from setuptools import setup, Extension
 import sys
 import os
+import platform
 import subprocess
 import pybind11
 
@@ -192,6 +193,23 @@ def _route_build_through_nvhpc(nvc_path):
         _cfg[_k] = _re.sub(r' +', ' ', _v).strip()
 
 
+def _homebrew_prefix():
+    """Homebrew's install prefix, or None if brew is not on PATH.
+
+    Not a constant: it is /opt/homebrew on Apple silicon and /usr/local on
+    Intel, so either one hardcoded is wrong on the other architecture.
+    """
+    import shutil
+    brew = shutil.which('brew')
+    if not brew:
+        return None
+    try:
+        return subprocess.check_output([brew, '--prefix'],
+                                       universal_newlines=True).strip()
+    except Exception:
+        return None
+
+
 def find_nvidia_hpc_sdk():
     nvhpc_home = os.environ.get('NVHPC_HOME', None)
     if nvhpc_home:
@@ -247,10 +265,14 @@ def find_nvidia_hpc_sdk():
 
 libraries = mpi_libs + blas_libs
 
-# RPATH so libraries are found at runtime without LD_LIBRARY_PATH
+# RPATH so libraries are found at runtime without LD_LIBRARY_PATH.
+#
+# `--rpath` is a GNU ld spelling that Apple's linker does not accept; it wants
+# the single-dash `-rpath`. GNU ld understands `-rpath` too, so use that form
+# on both platforms.
 extra_link_args = ['-fopenmp']
 for lib_dir in library_dirs:
-    extra_link_args.append(f'-Wl,--rpath,{lib_dir}')
+    extra_link_args.append(f'-Wl,-rpath,{lib_dir}')
 print(f"RPATH will be set to: {library_dirs}")
 
 # Detect NVHPC. nvc++ is shared between two GPU backends here:
@@ -316,21 +338,33 @@ def find_nvidia_hpc_sdk():
 
 if build_cpu:
     print("\nConfiguring CPU backend (_core_cpu)")
-    import platform
     if platform.system() == 'Darwin':
-        omp_inc = '/opt/homebrew/opt/libomp/include'
-        omp_lib = '/opt/homebrew/opt/libomp/lib'
-        openblas_lib = '/opt/homebrew/opt/openblas/lib'
+        # Apple clang has no OpenMP of its own, so libomp comes from Homebrew,
+        # and `-fopenmp` has to be smuggled past the driver with -Xpreprocessor
+        # (plain `-fopenmp` is rejected). Both libomp and openblas are keg-only
+        # formulae, so neither their headers nor their libraries are on the
+        # default search paths -- they must be named explicitly here.
+        brew_prefix = _homebrew_prefix() or '/opt/homebrew'
+        omp_inc = os.path.join(brew_prefix, 'opt', 'libomp', 'include')
+        omp_lib = os.path.join(brew_prefix, 'opt', 'libomp', 'lib')
+        openblas_lib = os.path.join(brew_prefix, 'opt', 'openblas', 'lib')
+        print(f"Using Homebrew prefix: {brew_prefix}")
         cpu_compile_args = [
             '-DSBD_TRADMODE',
+            '-DOMPI_SKIP_MPICXX',
             '-std=c++17', '-Xpreprocessor', '-fopenmp', '-O3',
             '-Wno-sign-compare', '-Wno-unused-variable', '-fPIC',
             '-DSBD_MODULE_NAME=_core_cpu', f'-I{omp_inc}',
         ]
-        cpu_link_args = [f'-L{omp_lib}', f'-L{openblas_lib}', '-lomp']
         cpu_inc = include_dirs + [omp_inc]
         cpu_lib_dirs = library_dirs + [omp_lib, openblas_lib]
         cpu_libs = libraries + ['omp']
+        # Not extra_link_args: that carries a bare `-fopenmp`, which Apple
+        # clang rejects at link time the same way it does when compiling.
+        # Re-derive the rpath entries over the Homebrew directories added
+        # above, so the keg-only dylibs resolve at import time.
+        cpu_link_args = [f'-L{d}' for d in (omp_lib, openblas_lib)]
+        cpu_link_args += [f'-Wl,-rpath,{d}' for d in cpu_lib_dirs]
     else:
         cpu_compile_args = [
             '-DSBD_TRADMODE',