In the Washington Post article This company’s one small step may be a giant leap for private space travel the placement of retroreflectors on the Moon is mentioned as a benefit of landing spacecraft (manned or not) on the Moon.
The launch by Moon Express Inc., a Florida-based firm started in 2010, marks the first time a commercial entity will be granted permission to leave Earth's orbit for a destination in outer space. Moon Express — or MoonEx for short — plans to send a robotic lander to the moon, where it will drop scientific instruments that will help researchers study the mysteries of space. For example, the lander will be carrying several retroreflectors designed to reflect light back to earth; in the past, these devices have led to discoveries about relativity and quantum mechanics and in the future, could yield insights into dark matter, said MoonEx co-founder Bob Richards in an interview.
edit: As mentioned by @rob in the answer below retroreflectors are definitely used in quantum mechanical experiments. A quick search for example yielded the 2008 proposal with an astronomical number of co-authors Space-QUEST: Experiments with quantum entanglement in space and the 2015 Physics World article Quantum cryptography set for lift-off where the caption states "Qubits in space: NASA's Jason-2 satellite is a quantum reflector".
I understand that the Apollo-era retroreflectors are still actively used and have set limits in tests of relativistic gravity that are consistent with existing predictions, but I'm not aware of any relativity-related discoveries.
But my question is on the quantum mechanics part of the quote. To what (if any) quantum mechanical 'discoveries' have retroreflectors on the moon contributed (in the past)? There may be future experiments planned, but I'm most interested in work that has been done to date.
The images below are copied from the linked question for reference - example of the use of the Apollo-era retroreflectors on the Moon.
Above: Lunar Laser Ranging (LRR) images from here