Arbitrary quantum operation on a qudit

Quantum technology requires full manipulation quantum systems, i.e. arbitrary quantum operations (AQuOs) for all possible physical process of an open quantum system. However, this goal demands great extra physical resources and hence is difficult to realize. In this talk, I will show our recent experiments about demonstrating a universal approach of AQuO on a superconducting photonic qudit with only a two-level ancilla and a log₂d-scale circuit depth for a d-dimensional system. Specifically, I will show the AQuO can be applied in quantum trajectory simulations for quantum subspace stabilization and quantum Zeno dynamics, and incoherent manipulation of the qudit. Furthermore, rank-d² positive operator-valued measures are also obtained, which outperform conventional tomography technique in practice. The demonstrated AQuOs in this talk for complete quantum control would play an important role in quantum information science.
Reference:
[1] W. Cai, and et al., arXiv: 2010.11427 (2020).