Exploring ways to use temporal correlations in quantum mechanics.

Quantum mechanics contains a range of stunning and non-intuitive phenomena, including non-local *spatial* correlations. Our goal in this project is to investigate in what ways *temporal* correlations, in comparison to spatial, in quantum mechanics are important, and how these could be used as a powerful quantum resource. We will base this research on a full investigation of a new type of quantum temporal correlation, called 'temporal steering' which we pioneered recently. In essence, temporal steering allows us to identify how much influence the quantum nature of measurements in the past have on the future. This is thought to be to be the power behind certain quantum cryptography techniques and also underlie a refined understanding of causality at the quantum level. Recently, we did the first theoretical and experimental investigations of this stunning phenomenon. However, a complete investigation of this quantum effect is necessary as it will assist us to understand in what ways we can use technologies based on quantum mechanics to achieve goals which are unobtainable in classical physics. In addition, from the perspective of fundamental physics, this research will help understand how temporal correlations can be used to distinguish alternative physical theories of reality. On the philosophical side, it will provide insight into the duality between spatial and temporal correlations, and the nature of time in quantum mechanics. To achieve these goals, we will conduct intensive theoretical research on this topic, as well as bring together both theoretical and experimental experts from related fields to gain new insights on this exciting new concept.