Random Party Distillation on a Superconducting Processor

Random party distillation refers to the process by which Einstein-Podolsky-Rosen pairs are randomly extracted from a single copy of a multipartite entangled state after multiple rounds of performing positive operator value measure operations. In this work, we propose a qubit-based implementation of a random party distillation protocol and demonstrate its efficacy on the superconducting hardware device, ibm_quebec. We demonstrate a 4-round implementation of the protocol, showing distillation rates superior (0.81 pairs/ W state) to the state of the art. Finally, we explore the dynamical properties of the protocol when implemented on superconducting hardware, and how errors introduced by mid-circuit measurements can be mitigated.