"Our experimental results demonstrate a simple but powerful way of custom-tailoring two-photon quantum states and holds promise for applications that can achieve high measurement precisions.The simplicity of our method opens a path to creating a measurement system that beats the classical estimation limit with current technologies," explains Doctoral Researcher and lead author Markus Hiekkamäki.

Measurement precisions at the absolute quantum limit

The method utilizes a fundamental quantum feature, i.e., the interference between two photons, which is often termed photon bunching. In contrast to the more common photon bunching into the same physical path, the novel scheme leads to a bunching into the same spatial structure.

“在我们的例子中,量子干涉的结果an entangled state of two photons. Because of the quantum nature of the realized state, the entangled photon pair gives a better measurement precision when compared to the same spatial shape imprinted on a similar amount of single photons or laser light. Using a counter-intuitive quantum response, we were able to show that it will be possible to achieve measurement precisions at the absolute quantum limit ," says Associate Professor Robert Fickler, leader of the Experimental Quantum Optics group at Tampere University.

Besides rotational measurements, the method allows the generation of a large variety of different quantum states for transverse-spatial modes. Hence, it could also be utilized in measurements of many different types of systems as well as in fundamental tests of multi-photon quantum states of light.

After demonstrating the advantage in rotational estimation, the researchers are now planning on using the method to shed new light on another fundamental property of waves called the Gouy phase. In addition, they study how it could be extended into quantum-enhanced measurement schemes in multiple degrees of freedom.