Wigner negativity is one of the necessary resources for quantum computation with continuous variables. In recent years, this motivated our group to produce a series of works on the measurement-based creation of Wigner-negative states. However, there are a multitude of other important properties that a quantum state can have, such as a high stellar rank, non-linear squeezing, and non-Gaussian entanglement. The aim of the post-doc project is to design new protocols to generate quantum states with non-Gaussian entanglement.
The primary approach will be focused on measurement-based protocols: assuming Alice, Bob, and Charlie share a quantum state, under which conditions can a measurement on Charlie’s subsystem create non-Gaussian entanglement between Alice and Bob? This question can be approached from a very fundamental point of view (e.g. what correlations are required between the three parties to achieve non-Gaussian entanglement), but also from a pragmatic point of view (e.g. how can we make sure that the procedure has a high success probability). As a secondary approach, you are encouraged to explore other techniques for engineering non-Gaussian quantum states of light, such as through light-atom interaction.