diff --git a/appveyor.yml b/appveyor.yml
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+++ b/appveyor.yml
@@ -0,0 +1,46 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2017, 2019.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+version: 1.0.{build}
+
+environment:
+    matrix:
+        - PYTHON_VERSION: 3.5
+          PYTHON: C:\Python35
+
+build: false
+deploy: false
+skip_branch_with_pr: true
+
+install:
+    # If there is a newer build queued for the same PR, cancel this one.
+    # The AppVeyor 'rollout builds' option is supposed to serve the same
+    # purpose but it is problematic because it tends to cancel builds pushed
+    # directly to master instead of just PR builds (or the converse).
+    # credits: JuliaLang developers.
+    - ps: if ($env:APPVEYOR_PULL_REQUEST_NUMBER -and $env:APPVEYOR_BUILD_NUMBER -ne ((Invoke-RestMethod `
+          https://ci.appveyor.com/api/projects/$env:APPVEYOR_ACCOUNT_NAME/$env:APPVEYOR_PROJECT_SLUG/history?recordsNumber=50).builds | `
+          Where-Object pullRequestId -eq $env:APPVEYOR_PULL_REQUEST_NUMBER)[0].buildNumber) { `
+              throw "There are newer queued builds for this pull request, failing early." }
+    - "SET PATH=%PYTHON%;%PYTHON%\\Scripts;%PATH%"
+    - pip.exe install -U -r requirements.txt
+    - pip.exe install -U -r requirements-dev.txt
+    - pip.exe install pytest
+
+# Use py.test for output of xunit test results.
+test_script:
+    - py.test -s -v --junit-xml=test_results.xml
+
+# Upload the test results to appveyor so they are shown on the "Tests" tab.
+after_test:
+    - ps: $wc = New-Object 'System.Net.WebClient'
+    - ps: $wc.UploadFile("https://ci.appveyor.com/api/testresults/junit/$($env:APPVEYOR_JOB_ID)", (Resolve-Path .\test_results.xml))