Robust hyperparallel nonlocal operation assisted by diamond nitrogen-vacancy center coupled to a single-side optical microcavity

Remote implementation of nonlocal quantum gates between different nodes in quantum communication network plays an important role in distributed quantum computation. Compared to protocol for nonlocal implementation of quantum operation in one degree of freedom (DoF), the protocol for parallel remote implementation of nonlocal operations simultaneously in two DoFs has the advantage of having high channel capacity. Under the balance condition of diamond nitrogen-vacancy center coupled to a single-side optical microcavity, we present a protocol for remote implementation of robust hyperparallel nonlocal operation in polarization, time-bin DoFs. Alice and Bob let photons pass through the diamond nitrogen-vacancy center system successively, perform single-qubit measurement on the entangled photons and the electrons. The robust nonlocal CNOT operation can be simultaneously implemented by applying unitary operations in accordance with the measurement results. The protocol has the advantage of transmitting less entangled photons for remote implementation of nonlocal CNOT operations in two DoFs. Moreover, the protocol is more convenient in application since the noise in the protocol for hyperparallel nonlocal CNOT operation via diamond nitrogen-vacancy center can be efficiently depressed.