Please wait a minute...
Chinese Physics, 2003, Vol. 12(7): 700-707    DOI: 10.1088/1009-1963/12/7/302
GENERAL Prev   Next  

NMR analogue of the generalized Grover's algorithm of multiple marked states and its application

Zhang Jing-Fu (张竞夫)a, Lu Zhi-Heng (卢志恒)a, Deng Zhi-Wei (邓志威)b, Shan Lu (单璐)b
a Department of Physics, Beijing Normal University, Beijing 100875, China; b Testing and Analytical Center, Beijing Normal University, Beijing 100875, China
Abstract  The generalized Grover's algorithm for the case in which there are multiple marked states is demonstrated on a nuclear magnetic resonance (NMR) quantum computer. The Walsh-Hadamard transform and the phase inversion are all replaced. NMR analogues of Einstein-Podolsky-Rosen states (pseudo-EPR states) are synthesized using the above algorithm.
Keywords:  generalized Grover's algorithm      nuclear magnetic resonance      Einstein-Podolsky-Rosen states  
Received:  13 December 2002      Revised:  17 February 2003      Accepted manuscript online: 
PACS:  33.25.+k (Nuclear resonance and relaxation)  
  03.65.Ud (Entanglement and quantum nonlocality)  
  42.50.Dv (Quantum state engineering and measurements)  
  03.67.Lx (Quantum computation architectures and implementations)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 69976005).

Cite this article: 

Zhang Jing-Fu (张竞夫), Lu Zhi-Heng (卢志恒), Deng Zhi-Wei (邓志威), Shan Lu (单璐) NMR analogue of the generalized Grover's algorithm of multiple marked states and its application 2003 Chinese Physics 12 700

[1] Tri-hexagonal charge order in kagome metal CsV3Sb5 revealed by 121Sb nuclear quadrupole resonance
Chao Mu(牟超), Qiangwei Yin(殷蔷薇), Zhijun Tu(涂志俊), Chunsheng Gong(龚春生), Ping Zheng(郑萍), Hechang Lei(雷和畅), Zheng Li(李政), and Jianlin Luo(雒建林). Chin. Phys. B, 2022, 31(1): 017105.
[2] Quantum simulations with nuclear magnetic resonance system
Chudan Qiu(邱楚丹), Xinfang Nie(聂新芳), and Dawei Lu(鲁大为). Chin. Phys. B, 2021, 30(4): 048201.
[3] Nodal superconducting gap in LiFeP revealed by NMR: Contrast with LiFeAs
A F Fang(房爱芳), R Zhou(周睿), H Tukada, J Yang(杨杰), Z Deng(邓正), X C Wang(望贤成) , C Q Jin(靳常青), and Guo-Qing Zheng(郑国庆). Chin. Phys. B, 2021, 30(4): 047403.
[4] Spin correlations in the S=1 armchair chain Ni2NbBO6 as seen from NMR
Kai-Yue Zeng(曾凯悦), Long Ma(马龙), Long-Meng Xu(徐龙猛), Zhao-Ming Tian(田召明), Lang-Sheng Ling(凌浪生), and Li Pi(皮雳). Chin. Phys. B, 2021, 30(4): 047503.
[5] NMR and NQR studies on transition-metal arsenide superconductors LaRu2As2, KCa2Fe4As4F2, and A2Cr3As3
Jun Luo(罗军), Chunguang Wang(王春光) Zhicheng Wang(王志成), Qi Guo(郭琦), Jie Yang(杨杰), Rui Zhou(周睿), K Matano, T Oguchi, Zhian Ren(任治安), Guanghan Cao(曹光旱), Guo-Qing Zheng(郑国庆). Chin. Phys. B, 2020, 29(6): 067402.
[6] High-magnetic-field induced charge order in high-Tc cuprate superconductors
L X Zheng(郑立玄), J Li(李建), T Wu(吴涛). Chin. Phys. B, 2019, 28(11): 117402.
[7] Progress of novel diluted ferromagnetic semiconductors with decoupled spin and charge doping: Counterparts of Fe-based superconductors
Shengli Guo(郭胜利), Fanlong Ning(宁凡龙). Chin. Phys. B, 2018, 27(9): 097502.
[8] Nuclear magnetic resonance measurement station in SECUF using hybrid superconducting magnets
Zheng Li(李政), Guo-qing Zheng(郑国庆). Chin. Phys. B, 2018, 27(7): 077404.
[9] Structural phase transition, precursory electronic anomaly, and strong-coupling superconductivity in quasi-skutterudite (Sr1-xCax)3Ir4Sn13 and Ca3Rh4Sn13
Jun Luo(罗军), Jie Yang(杨杰), S Maeda, Zheng Li(李政), Guo-Qing Zheng(郑国庆). Chin. Phys. B, 2018, 27(7): 077401.
[10] NMR evidence of charge fluctuations in multiferroic CuBr2
Rui-Qi Wang(王瑞琦), Jia-Cheng Zheng(郑家成), Tao Chen(陈涛), Peng-Shuai Wang(王朋帅), Jin-Shan Zhang(张金珊), Yi Cui(崔祎), Chong Wang(王冲), Yuan Li(李源), Sheng Xu(徐胜), Feng Yuan(袁峰), Wei-Qiang Yu(于伟强). Chin. Phys. B, 2018, 27(3): 037502.
[11] Nuclear magnetic resonance for quantum computing: Techniques and recent achievements
Tao Xin(辛涛), Bi-Xue Wang(王碧雪), Ke-Ren Li(李可仁), Xiang-Yu Kong(孔祥宇), Shi-Jie Wei(魏世杰), Tao Wang(王涛), Dong Ruan(阮东), Gui-Lu Long(龙桂鲁). Chin. Phys. B, 2018, 27(2): 020308.
[12] Optical pumping nuclear magnetic resonance system rotating in a plane parallel to the quantization axis
Zhi-Chao Ding(丁志超), Jie Yuan(袁杰), Hui Luo(罗晖), Xing-Wu Long(龙兴武). Chin. Phys. B, 2017, 26(9): 093301.
[13] Parameter analysis for a nuclear magnetic resonance gyroscope based on bf133Cs-129Xe/131Xe
Da-Wei Zhang(张大伟), Zheng-Yi Xu(徐正一), Min Zhou(周敏), Xin-Ye Xu(徐信业). Chin. Phys. B, 2017, 26(2): 023201.
[14] Interfacial transport in lithium-ion conductors
Shaofei Wang(王少飞) and Liquan Chen(陈立泉). Chin. Phys. B, 2016, 25(1): 018202.
[15] Fast high-resolution nuclear magnetic resonance spectroscopy through indirect zero-quantum coherence detection in inhomogeneous fields
Ke Han-Ping (柯汉平), Chen Hao (陈浩), Lin Yan-Qin (林雁勤), Wei Zhi-Liang (韦芝良), Cai Shu-Hui (蔡淑惠), Zhang Zhi-Yong (张志勇), Chen Zhong (陈忠). Chin. Phys. B, 2014, 23(6): 063201.
No Suggested Reading articles found!