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
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