BEC Seminar: Copying Quantum Channels

Speaker:

• Dott. Michail Skoteiniotis; Universidad de Granada

Abstract:

In this work we ask whether it is possible to clone the most general quantum operations allowed in quantum theory, those that correspond to quantum channels.  We consider a specialised version of cloning known as super-replication, whereby one is given access to N copies of the channel and is asked to produce M>N copies of it.  We show that for a special class of channels, corresponding to spontaneous emission and/or absorption,  super-replication is impossible and we establish both upper and lower bounds on the number M of possible copies that one can in principle produce.  Our approach also yields a protocol for losslessly compressing such dynamics into a smaller register which is of relevance in quantum simulation.

This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (ERC StrEnQTh grant agreement No 804305).