Acta Photonica Sinica, Volume. 51, Issue 11, 1127001(2022)

Inverse Engineering of High-fidelity Quantum Operations Based on the Time Evolution Operator

Tianfeng CHEN1,2,3, Jiamin QIU1,2,3, Hong PENG1,2,3, Xi CHEN1,2、*, and Ying YAN1,2,3、**
Author Affiliations
  • 1School of Optoelectronic Science and Engineering,Collaborative Innovation Center of Suzhou Nano Science and Technology,Soochow University,Suzhou,Jiangsu 215006,China
  • 2Key Lab of Advanced Optical Manufacturing Technologies of Jiangsu Province,Key Lab of Modern Optical Technologies of Education Ministry of China,Soochow University,Suzhou,Jiangsu 215006,China
  • 3Engineering Research Center of Digital Imaging and Display,Ministry of Education,Soochow University,Suzhou,Jiangsu 215006,China
  • show less
    References(33)

    [1] CHILDS A M, PRESKILL J, RENES J. Quantum information and precision measurement[J]. Journal of Modern Optics, 47, 155-176(2000).

    [2] STEANE A. Quantum computing[J]. Reports on Progress in Physics, 61, 117-173(1998).

    [3] PAVIČIĆ M[M]. Quantum computation and quantum communication: theory and experiments, 24-28(2005).

    [4] GROVER L K. Quantum computers can search arbitrarily large databases by a single query[J]. Physical Review Letters, 79, 4709-4712(1997).

    [5] MAKHLIN Y, SCHÖN G, SHNIRMAN A. Quantum-state engineering with Josephson-junction devices[J]. Reviews of Modern Physics, 73, 357-400(2001).

    [6] LAINE T A, STENHOLM S. Adiabatic processes in three-level systems[J]. Physical Review A, 53, 2501-2512(1996).

    [7] DAEMS D, RUSCHHAUPT A, SUGNY D et al. Robust quantum control by a single-shot shaped pulse[J]. Physical Review Letters, 111, 050404(2013).

    [8] CHEN Xi, MUGA J G. Engineering of fast population transfer in three-level systems[J]. Physical Review A, 86, 033405(2012).

    [9] RUSCHHAUPT A, CHEN Xi, ALONSO D et al. Optimally robust shortcuts to population inversion in two-level quantum system[J]. New Journal of Physics, 14, 093040(2012).

    [10] TORRONTEGUI E, IBÁÑEZ S, MARTÍNEZ-GARAOT S et al. Shortcut to adiabaticity[J]. Advances in Atomic, Molecular, and Optical Physics, 62, 117-169(2013).

    [11] KIELY A, RUSCHHAUPT A. Inhibiting unwanted transitions in population transfer in two- and three-level quantum systems[J]. Journal of Physics B: Atomic, Molecular and Optical Physics, 47, 115501(2014).

    [12] LU Mei, XIA Yan, SHEN Lituo et al. An effective shortcut to adiabatic passage for fast quantum state transfer in a cavity quantum electronic dynamics system[J]. Laser Physics, 24, 105201(2014).

    [13] YAN Ying, LI Yichao, KINOS A et al. Inverse engineering of shortcut pulses for high fidelity initialization on qubits closely spaced in frequency[J]. Optics Express, 27, 8267-8282(2019).

    [14] CHEN Tianfeng, WAN Lin, QIU Jiamin et al. Engineering of the qubit initialization in an imperfect physical system[J]. Journal of Physics B: Atomic, Molecular and Optical Physics, 54, 135503(2021).

    [15] BERRY M V. Transitionless quantum driving[J]. Journal of Physics A: Mathematical and Theoretical, 42, 365303(2009).

    [16] CHEN Xi, TORRONTEGUI E, MUGA J G. Lewis-Riesenfeld invariants and transitionless quantum driving[J]. Physical Review A, 83, 062116(2011).

    [17] CHEN Xi, LIZUAIN I, RUSCHHAUPT A et al. Shortcut to adiabatic passage in two- and three-level atoms[J]. Physical Review Letters, 105, 123003(2010).

    [18] CHEN Zhen, CHEN Yehong, XIA Yan et al. Fast generation of three-atom singlet state by transitionless quantum driving[J]. Scientific Reports, 6, 22202(2016).

    [19] CHEN Yehong, XIA Yan, SONG Jie et al. Shortcut to adiabatic passage for fast generation of Greenberger-Horne-Zeilinger states by transitionless quantum driving[J]. Scientific Reports, 5, 15616(2015).

    [20] LI Yichao, CHEN Xi. Shortcut to adiabatic population transfer in quantum three-level systems: effective two-level problems and feasible counterdiabatic driving[J]. Physical Review A, 94, 063411(2016).

    [21] AN Shuoming, LV Dingshun, DELCAMPO A et al. Shortcuts to adiabaticity by counterdiabatic driving for trapped-ion displacement in phase space[J]. Nature Communications, 7, 12999(2016).

    [22] NÖBAUER T, ANGERER A, BARTELS B et al. Smooth optimal quantum control for robust solid-state spin magnetometry[J]. Physical Review Letters, 115, 190801(2015).

    [23] ZHONG Manjin, HEDGES M P, AHLEFELDT R L et al. Optically addressable nuclear spins in a solid with a six-hour coherence time[J]. Nature, 517, 177-180(2015).

    [24] RIPPE L, JULSGAARD B, WALTHER A et al. Experimental quantum-state tomography of a solid-state qubit[J]. Physical Review A, 77, 022307(2008).

    [25] YAN Ying. Towards single Ce ion detection in a bulk crystal for the development of a single-ion qubit readout scheme[D], 58-60(2013).

    [26] OHLSSON N, MOHAN R K, KRÖLL S. Quantum computer hardware based on rare-earth-ion-doped inorganic crystals[J]. Optics Communications, 201, 71-77(2002).

    [27] EQUALL R W, CONE R L, MACFARLANE R M. Homogeneous broadening and hyperfine structure of optical transitions in Pr3+: Y2SiO5[J]. Physical Review B, 52, 3963-3969(1995).

    [28] LI Sai, CHEN Tao, XUE Zhengyuan. Fast holonomic quantum computation on superconducting circuits with optimal control[J]. Advanced Quantum Technologies, 3, 2000001(2020).

    [29] XU Jing, LI Sai, CHEN Tao et al. Nonadiabatic geometric quantum computation with optimal control on superconducting circuits[J]. Frontiers of Physics, 15, 41503(2020).

    [30] YAN Ying, SHI Chunyan, KINOS A et al. Experimental implementation of precisely tailored light-matter interaction via inverse engineering[J]. npj Quantum Information, 7, 138(2021).

    [31] OPATRNÝ T, MØLMER K. Partial suppression of nonadiabatic transitions[J]. New Journal of Physics, 16, 015025(2014).

    [32] KANG Yihao, CHEN Yehong, WU Qicheng et al. Reverse engineering of a Hamiltonian by designing the evolution operators[J]. Scientific Reports, 6, 30151(2016).

    [33] YAN Ying, LU Jie, WAN Lin et al. Robust pulses for high fidelity non-adiabatic geometric gate operations in an off-resonant three-level system[J]. Physics Letters A, 383, 600-606(2019).

    Tools

    Get Citation

    Copy Citation Text

    Tianfeng CHEN, Jiamin QIU, Hong PENG, Xi CHEN, Ying YAN. Inverse Engineering of High-fidelity Quantum Operations Based on the Time Evolution Operator[J]. Acta Photonica Sinica, 2022, 51(11): 1127001

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Category:

    Received: Feb. 28, 2022

    Accepted: Apr. 12, 2022

    Published Online: Dec. 13, 2022

    The Author Email: Xi CHEN (chansion@suda.edu.cn), Ying YAN (yingyan@suda.edu.cn)

    DOI:10.3788/gzxb20225111.1127001

    Topics