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

Tianfeng CHEN; Jiamin QIU; Hong PENG; Xi CHEN; Ying YAN

doi:10.3788/gzxb20225111.1127001

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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