A Geometric Characterization of Quantum Gates

被引:0
|
作者
Yi-Bin He
Li Wang
机构
[1] Taiyuan University of Technology,College of Software
[2] Taiyuan University of Technology,College of Mathematics
关键词
D O I
暂无
中图分类号
学科分类号
摘要
Quantum gates are unitary operators and pure states are denoted by unit vectors in state spaces. A quantum gate (i.e., unitary operator) maps convex combinations of vectors in the closed unit ball of the state space to themselves. On the contrary, whether or not some kinds of convex combinations preserving maps on the closed unit ball of the state space are unitary. In the paper, we devote to giving an answer to the inverse problem.
引用
收藏
页码:2218 / 2227
页数:9
相关论文
共 50 条
  • [31] Quantum phase gates with geometric phases of spin-orbit modes
    Cruz, G. T. C.
    Carvalho, S. A.
    de Souza, C. E. R.
    Huguenin, J. A. O.
    QUANTUM INFORMATION PROCESSING, 2024, 23 (05)
  • [32] Nonadiabatic geometric quantum gates by composite pulses based on superconducting qubits
    Fang, Zi-Yu
    Xu, Hai
    Chen, Tao
    Wei, Kejin
    Zhang, Chengxian
    PHYSICAL REVIEW A, 2024, 109 (04)
  • [33] Geometric Quantum Gates, Composite Pulses, and Trotter-Suzuki Formulas
    Kondo, Yasushi
    Bando, Masamitsu
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2011, 80 (05)
  • [34] Nonadiabatic geometric quantum gates that are insensitive to qubit-frequency drifts
    Zhou, Jian
    Li, Sai
    Pan, Guo-Zhu
    Zhang, Gang
    Chen, Tao
    Xue, Zheng-Yuan
    PHYSICAL REVIEW A, 2021, 103 (03)
  • [35] Digital Quantum Simulation of Nonadiabatic Geometric Gates via Shortcuts to Adiabaticity
    Wang, Yapeng
    Ding, Yongcheng
    Wang, Jianan
    Chen, Xi
    ENTROPY, 2020, 22 (10) : 1 - 11
  • [36] Robust and fast geometric quantum computation with multiqubit gates in cavity QED
    Lin, Gong-Wei
    Zou, Xu-Bo
    Lin, Xiu-Min
    Guo, Guang-Can
    PHYSICAL REVIEW A, 2009, 79 (06):
  • [37] Experimental Implementation of Universal Nonadiabatic Geometric Quantum Gates in a Superconducting Circuit
    Xu, Y.
    Hua, Z.
    Chen, Tao
    Pan, X.
    Li, X.
    Han, J.
    Cai, W.
    Ma, Y.
    Wang, H.
    Song, Y. P.
    Xue, Zheng-Yuan
    Sun, L.
    PHYSICAL REVIEW LETTERS, 2020, 124 (23)
  • [38] Geometric single-qubit gates for an electron spin in a quantum dot
    Malinovsky, Vladimir S.
    Rudin, Sergey
    INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2012, 112 (24) : 3744 - 3749
  • [39] Geometric characterization of true quantum decoherence
    Kayser, Julius
    Luoma, Kimmo
    Strunz, Walter T.
    PHYSICAL REVIEW A, 2015, 92 (05):
  • [40] Optical holonomic single quantum gates with a geometric spin under a zero field
    Sekiguchi Y.
    Niikura N.
    Kuroiwa R.
    Kano H.
    Kosaka H.
    Nature Photonics, 2017, 11 (5) : 209 - 214