The boundaries and topological defects of the color code

 · Invited

Abstract

We give a thorough exploration of the color code phase to find all of its boundaries and domain walls.
This gives us a new playground to discover new quantum error correcting codes and ways of performing gates.
Our exploration uncovered improved methods for performing quantum computations by code deformation, a new four-qubit error-detecting code, as well as families of new quantum error-correcting codes we call stellated color codes, which encode logical qubits at the same distance as the next best color code, but using approximately half the number of physical qubits.

*MSK is supported by the DFG (CRC183, project B02). FP was supported by the Alexander von Humboldt Foundation. JE is supported by DFG (CRC 183, project B02, EI 519/14-1, and EI 519/7-1), the ERC (TAQ), the Templeton Foundation, and the BMBF (Q.com). BJB is supported by the University of Sydney Fellowship Programme, the Australian Research Council via the Centre of Excellence in Engineered Quantum Systems(EQuS) project number CE170100009, and the Villum Foundation.

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Presenters

  • Markus Kesselring

    • FU Berlin

Authors

  • Markus Kesselring

    • FU Berlin

  • Fernando Pastawski

    • Freie Universitaet Berlin
    • Dahlem Center for Complex Quantum Systems, Freie Universitaet Berlin

  • Jens Eisert

    • Dahlem Center for Complex Quantum Systems, Freie Universitaet Berlin

  • Benjamin J. Brown

    • Centre for Engineered Quantum Systems, University of Sydney