Fault-tolerant quantum computation with non-binary systems

被引：0
|
作者：
Lan Luo
Zhi Ma
机构：
[1] Henan Key Laboratory of Network Cryptography Technology,
[2] State Key Laboratory of Information Security,undefined
来源：
Quantum Information Processing | 2019年 / 18卷
关键词：
Fault-tolerant quantum computation; Non-binary quantum codes; Stabilizer transformation; Randomized fault-tolerant code conversion; Entanglement-assisted quantum stabilizer codes;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we present the stabilizer transformation formalism under measurements in q-ary systems where q is an odd prime power. Through a clever use of sequential stabilizer manipulations, we can implement several q-ary logical gates in a fault-tolerant way. Furthermore, a randomized fault-tolerant code conversion procedure between arbitrary non-binary stabilizer codes is proposed, in which descendant ancillary qudits are required with growing dimension of systems. Finally, we adapt the idea of stabilizer transformation in the construction of q-ary entanglement-assisted quantum stabilizer codes.
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