Universal quantum computing with twist-free and temporally encoded lattice surgery

• URL: http://arxiv.org/abs/2109.02746v3
• Date: Sat, 15 Jan 2022 23:45:03 GMT
• Title: Universal quantum computing with twist-free and temporally encoded lattice surgery
• Authors: Christopher Chamberland and Earl T. Campbell
• Abstract summary: We introduce a decoder capable of correcting spacelike and timelike errors during lattice surgery protocols. We compute logical failure rates of a lattice surgery protocol for a biased circuit-level noise model. We propose a layout for a quantum processor that is more efficient for rectangular surface codes exploiting noise bias.
• Score: 3.222802562733787
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Lattice surgery protocols allow for the efficient implementation of universal gate sets with two-dimensional topological codes where qubits are constrained to interact with one another locally. In this work, we first introduce a decoder capable of correcting spacelike and timelike errors during lattice surgery protocols. Afterwards, we compute logical failure rates of a lattice surgery protocol for a biased circuit-level noise model. We then provide a new protocol for performing twist-free lattice surgery, where we avoid twist defects in the bulk of the lattice. Our twist-free protocol eliminates the extra circuit components and gate scheduling complexities associated with the measurement of higher weight stabilizers when using twist defects. We also provide a protocol for temporally encoded lattice surgery that can be used to reduce both runtimes and the total space-time costs of quantum algorithms. Lastly, we propose a layout for a quantum processor that is more efficient for rectangular surface codes exploiting noise bias, and which is compatible with the other techniques mentioned above.

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