Otto Kong (National Central University, Taiwan)

The subject of quantum reference frame transformations gets popular lately with some interesting new theoretical developments, partly for the reason that the physics involved is becoming experimentally accessible. The position of a position eigenstate when observed from an object with `uncertainty' in position would be seen with `uncertainty'. In fact, even the existence of entanglement is reference frame-dependent. We present an improved formulation of such a transformation and give a novel way to describe exactly by `how much' the `value of the position' has changed which fully encodes all information about the changes, including the 'uncertainty' and entanglement. That is an application of the notion of noncommutative values of physical quantities we introduced to understand the reality of quantum physics and beyond. For a particle system, we have a full picture of such a symmetry of Special Quantum Relativity, together with a noncommutative geometric picture of spacetime. Deep implications on fundamental physics and quantum information science will be discussed.