摘要： A large set of physically different platforms are still in the race, as promising quantum systems, to perform efficient quantum information processing. Each of them offer particular figures of merit and weaknesses. An important paradigm for quantum computation is to consider hybrid systems where the strengths of different systems can be harvested while mitigating their weaknesses [1]. Meanwhile, increasing efforts are being devoted to topological phases of matter in bosonic systems to perform robust manipulation of quantum information, where topologically protected edge states can be utilized as quantum channels [2]. In this work, we propose a two-dimensional array of driven optomechanical nano-cavities coupled to Silicon-Vacancy (SiV) centres as a versatile quantum hybrid system where a rich set of topological phases for sound and light is present. More precisely, we consider the well-established snowflake architecture where strongly interacting photonic and acoustic modes can be localised in any crystalline arrangement on a free-standing micro-scale chip [3]. The novel element of this work is the addition of the nonlinear system in the SiV centres coupled to the cavities vibrational modes via strain-coupling [4]. Such defects play the role of highly tunable spin qubits that efficiently couple to the propagating acoustic modes within the array. The topological states of joint mechanical and optical modes (polaritons) can open channels for robust transport between distant SiV centres while offering a way to optically probe the dynamics during the transport. For example, regimes in which the acoustic and optical modes are weakly coupled allow the generation of chiral and robust phononic edge states where one could tune in time their coupling to the SiV defects, leading to a single-mode phononic network. In this case, we describe high-fidelity state transfer between distant centres for experimentally relevant parameter regimes. In addition to robust state transfer between distant qubits, we investigate the effects of the nonlinearity generated by the defects on the topological phases of the polaritonic modes. In this context, we describe the topological phases in different regimes of experimental relevance.