Universal Mesurement-based Quantum Computation and Complex Quantum Systems

Our research proposal Universal measurement-based quantum computation and complex quantum systems will be focused on gaining new and profound insights into the nature of quantum entanglement, especially multipartite entanglement, in the context of quantum computation, open quantum systems and condensed matter physics. The present research project seeks to elucidate these fundamental issues through the framework of MQC. We have identified three potential research topics that will greatly impact our understanding of universal MQC and complex quantum systems: (1). Universality in MQC. We will attempt to develop advanced (encoded) universality criteria based on multipartite entanglement measures, and to establish relations between universality/non- universality of ground states and the features of Hamiltonians of condensed matter systems. The main goal of this subject is to deepen the understanding of the role of entanglement in the speed-up of quantum computation. (2). Classical simulation of MQC. We will investigate the classical simulation of MQC on certain types of universal resource states and its connection with the classical description of quantum many-body systems. This topic is expected to sharpen the boundary between the complexity for classical and quantum computation. (3). Fault- tolerant implementation of MQC. We will investigate the influence of noise and imperfections on the entanglement contained in the universal resource states and the entanglement-based criteria for the universality in MQC. Besides, we will try to devise novel ways to counteract the effects of noise and decoherence to promote the fault-tolerant implementation of MQC.