Quantum computing with 3-d surface codes


Vasmer, M. (2018). Quantum computing with 3-d surface codes. Perimeter Institute. https://pirsa.org/18110080


Vasmer, Michael. Quantum computing with 3-d surface codes. Perimeter Institute, Nov. 14, 2018, https://pirsa.org/18110080


          @misc{ pirsa_18110080,
            doi = {10.48660/18110080},
            url = {https://pirsa.org/18110080},
            author = {Vasmer, Michael},
            keywords = {Quantum Information},
            language = {en},
            title = {Quantum computing with 3-d surface codes},
            publisher = {Perimeter Institute},
            year = {2018},
            month = {nov},
            note = {PIRSA:18110080 see, \url{https://pirsa.org}}

Michael Vasmer Xanadu Quantum Technologies Inc.


Quantum computers have the potential to significantly outperform classical computers at certain tasks. However, many applications of quantum computers require a fault-tolerant quantum computer. Such a device would function correctly even in the presence of noise. State-of-the art quantum computing architecture proposals require at least hundreds of thousands of high quality qubits to achieve fault-tolerance. These requirements are far beyond today's technology. In this talk, I will present results about a novel quantum computing architecture which is based on 3-d surface codes (a family of quantum error-correcting codes). This architecture may have smaller resource requirements than the current leading architectures for certain experimental parameters. I will show that the 3-d surface code has a transversal CCZ gate and I will discuss a cellular automaton which can be used to decode 3-d surface codes. Time permitting, I will also discuss the relationship between 3-d surface codes and 3-d colour codes.