期刊
PHYSICAL REVIEW RESEARCH
卷 4, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevResearch.4.023102
关键词
-
资金
- ARO [W911NF-18-1-0020, W911NF-18-1-0212]
- ARO MURI [W911NF-16-1-0349, W911NF-21-1-0325]
- AFOSR MURI [FA9550-19-1-0399, FA9550-21-1-0209]
- NSF [EFMA-1640959, OMA-1936118, EEC-1941583, OMA-2137642]
- NTT Research
- Packard Foundation [2020-71479]
- Startup Foundation of Institute of Semiconductors, Chinese Academy of Sciences [E0SEBB11]
- National Natural Science Foundation of China [12174379]
This research reveals the algebraic structure of path-independent quantum control and provides an exact and unified condition for combating ancilla noise.
Path-independent (PI) quantum control has recently been proposed to integrate quantum error correction and quantum control [W.-L. Ma, M. Zhang, Y. Wong, K. Noh, S. Rosenblum, P. Reinhold, R. J. Schoelkopf, and L. Jiang, Phys. Rev. Lett. 125, 110503 (2020)], achieving fault-tolerant quantum gates against ancilla errors. Here we reveal the underlying algebraic structure of PI quantum control. The PI Hamiltonians and propagators turn out to lie in an algebra isomorphic to the ordinary matrix algebra, which we call the PI matrix algebra. The PI matrix algebra, defined on the Hilbert space of a composite system (including an ancilla system and a central system), is isomorphic to the matrix algebra defined on the Hilbert space of the ancilla system. By extending the PI matrix algebra to the Hilbert-Schmidt space of the composite system, we provide an exact and unifying condition for PI quantum control against ancilla noise.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据