diff --git a/README.md b/README.md
index 3aad6449f..026bd2c22 100644
--- a/README.md
+++ b/README.md
@@ -64,14 +64,21 @@ simulation of many millions of moderately-sized circuits.
 Please see the [installation
 instructions](https://www.tensorflow.org/quantum/install) in the documentation.
 
+_Compatibility_: At this time (version 0.7.5), TensorFlow Quantum is built and
+tested with the following systems and software:
+
+* Python 3.9–3.12
+* TensorFlow 2.16.2
+* TF-Keras 2.16
+* NumPy 1.x
+* Cirq 1.3
+
 ## Quick start
 
 [Guides and tutorials for TensorFlow
 Quantum](https://tensorflow.org/quantum/overview) are available online at the
 TensorFlow.org web site.
 
-## Documentation
-
 [Documentation for TensorFlow Quantum](https://tensorflow.org/quantum),
 including tutorials and API documentation, can be found online at the
 TensorFlow.org web site.