Lattice surgery-based Surface Code architecture using remote logical CNOT operation

Jonghyun Lee, Yujin Kang, Jinyoung Ha, Jun Heo

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


The lattice surgery approach allows for an efficient implementation of universal quantum gate sets with topological quantum error correcting codes that achieve a high threshold and are composed of only the nearest gate operations and low-weight stabilizers. Here, we propose two types of lattice surgery-based logical qubit architectures using the logical remote-controlled-not operation and circuit mapping method. Our architectures enhanced the qubit efficiency, and when combined with our qubit initialization and routing process, they reduced the running time and quantum volume of several quantum circuits by removing time-expensive logical SWAP operations and enabling fast logical CNOT operations. The quantum volume was compared between three cases, one in which the magic state distillation technique was not applied, one in which the multiple magic state distillation circuits are used to reduce the circuit execution time, and the other in which one magic state distillation circuit are used to reduce the number of qubit used.

Original languageEnglish
Article number217
JournalQuantum Information Processing
Issue number6
Publication statusPublished - 2022 Jun

Bibliographical note

Funding Information:
This work was supported by Institute for Information & communications Technology Planning & Evaluation (IITP) grant funded by the Korea government (MSIT) [No. 2020-0-00014, A Technology Development of Quantum OS for Fault-tolerant Logical Qubit Computing Environment] This work was supported by the ICT R &D program of MSIT/IITP. [IITP-2022-2021-0-01810, Development of elemental technologies for Ultra-secure Quantum Internet.]

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.


  • Lattice surgery
  • Quantum architectures
  • Quantum circuit mapping
  • Quantum error-correcting code

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Statistical and Nonlinear Physics
  • Theoretical Computer Science
  • Signal Processing
  • Modelling and Simulation
  • Electrical and Electronic Engineering


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