State injection, lattice surgery, and dense packing of the deformation-based surface code

Shota Nagayama, Takahiko Satoh, and Rodney Van Meter
Phys. Rev. A 95, 012321 – Published 19 January 2017

Abstract

Resource consumption of the conventional surface code is expensive, in part due to the need to separate the defects that create the logical qubit far apart on the physical qubit lattice. We propose that instantiating the deformation-based surface code using superstabilizers will make it possible to detect short error chains connecting the superstabilizers, allowing us to place logical qubits close together. Additionally, we demonstrate the process of conversion from the defect-based surface code, which works as arbitrary state injection, and a lattice-surgery-like controlled not (cnot) gate implementation that requires fewer physical qubits than the braiding cnot gate. Finally, we propose a placement design for the deformation-based surface code and analyze its resource consumption; large-scale quantum computation requires 25d2+170d+2894 physical qubits per logical qubit, where d is the code distance of the standard surface code, whereas the planar code requires 16d216d+4 physical qubits per logical qubit, for a reduction of about 50%.

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  • Received 28 June 2016
  • Revised 14 October 2016

DOI:https://doi.org/10.1103/PhysRevA.95.012321

©2017 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Shota Nagayama1,*, Takahiko Satoh2, and Rodney Van Meter3

  • 1Graduate School of Media and Governance, Keio University, 5322 Endo, Fujisawa-shi, Kanagawa 252-0882, Japan
  • 2Keio Research Institute at SFC, Keio University, 5322 Endo, Fujisawa-shi, Kanagawa 252-0882, Japan
  • 3Faculty of Environment and Information Studies, Keio University, 5322 Endo, Fujisawa-shi, Kanagawa 252-0882, Japan

  • *kurosagi@sfc.wide.ad.jp

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Vol. 95, Iss. 1 — January 2017

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