標題: | Constant depth fault-tolerant Clifford circuits for multi-qubit large block codes |
作者: | Zheng, Yi-Cong Lai, Ching-Yi Brun, Todd A. Kwek, Leong-Chuan 電信工程研究所 Institute of Communications Engineering |
關鍵字: | fault-tolerant quantum computation;large block codes;quantum error correction;Clifford circuit |
公開日期: | 1-十月-2020 |
摘要: | Fault-tolerant quantum computation (FTQC) schemes using large block codes that encodek> 1 qubits innphysical qubits can potentially reduce the resource overhead to a great extent because of their high encoding rate. However, the fault-tolerant (FT) logical operations for the encoded qubits are difficult to find and implement, which usually takes not only a very large resource overhead but also longin situcomputation time. In this paper, we focus on Calderbank-Shor-Steane [[n,k,d]] (CSS) codes and their logical FT Clifford circuits. We show that the depth of an arbitrary logical Clifford circuit can be implemented fault-tolerantly inO(1) stepsin situvia either Knill or Steane syndrome measurement circuit, with the qualified ancilla states efficiently prepared. Particularly, for those codes satisfyingk/n similar to Theta(1), the resource scaling for Clifford circuits implementation on the logical level can be the same as on the physical level up to a constant, which is independent of code distanced. With a suitable pipeline to produce ancilla states, our scheme requires only a modest resource cost in physical qubits, physical gates, and computation time for very large scale FTQC. |
URI: | http://dx.doi.org/10.1088/2058-9565/aba34d http://hdl.handle.net/11536/155094 |
ISSN: | 2058-9565 |
DOI: | 10.1088/2058-9565/aba34d |
期刊: | QUANTUM SCIENCE AND TECHNOLOGY |
Volume: | 5 |
Issue: | 4 |
起始頁: | 0 |
結束頁: | 0 |
顯示於類別: | 期刊論文 |