Please wait a minute...
Chin. Phys. B, 2009, Vol. 18(7): 2642-2648    DOI: 10.1088/1674-1056/18/7/004
GENERAL Prev   Next  

Application of quantum algorithms to direct measurement of concurrence of a two-qubit pure state

Wang Hong-Fu(王洪福)a) and Zhang Shou(张寿)a)b)†
a Center for the Condensed-Matter Science and Technology, Harbin Institute of Technology, Harbin 150001, China; Department of Physics, College of Science, Yanbian University, Yanji 133002, China
Abstract  This paper proposes a method to measure directly the concurrence of an arbitrary two-qubit pure state based on a generalized Grover quantum iteration algorithm and a phase estimation algorithm. The concurrence can be calculated by applying quantum algorithms to two available copies of the bipartite system, and a final measurement on the auxiliary working qubits gives a better estimation of the concurrence. This method opens new prospects of entanglement measure by the application of quantum algorithms. The implementation of the protocol would be an important step toward quantum information processing and more complex entanglement measure of the finite-dimensional quantum system with an arbitrary number of qubits.
Keywords:  concurrence      quantum algorithm      entanglement measure  
Received:  13 October 2008      Revised:  05 November 2008      Accepted manuscript online: 
PACS:  03.67.Lx (Quantum computation architectures and implementations)  
  03.65.Ta (Foundations of quantum mechanics; measurement theory)  
  03.65.Ud (Entanglement and quantum nonlocality)  
  03.67.Mn (Entanglement measures, witnesses, and other characterizations)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 60667001).

Cite this article: 

Wang Hong-Fu(王洪福) and Zhang Shou(张寿) Application of quantum algorithms to direct measurement of concurrence of a two-qubit pure state 2009 Chin. Phys. B 18 2642

[1] Variational quantum simulation of thermal statistical states on a superconducting quantum processer
Xue-Yi Guo(郭学仪), Shang-Shu Li(李尚书), Xiao Xiao(效骁), Zhong-Cheng Xiang(相忠诚), Zi-Yong Ge(葛自勇), He-Kang Li(李贺康), Peng-Tao Song(宋鹏涛), Yi Peng(彭益), Zhan Wang(王战), Kai Xu(许凯), Pan Zhang(张潘), Lei Wang(王磊), Dong-Ning Zheng(郑东宁), and Heng Fan(范桁). Chin. Phys. B, 2023, 32(1): 010307.
[2] Direct measurement of two-qubit phononic entangled states via optomechanical interactions
A-Peng Liu(刘阿鹏), Liu-Yong Cheng(程留永), Qi Guo(郭奇), Shi-Lei Su(苏石磊), Hong-Fu Wang(王洪福), and Shou Zhang(张寿). Chin. Phys. B, 2022, 31(8): 080307.
[3] Robustness of two-qubit and three-qubit states in correlated quantum channels
Zhan-Yun Wang(王展云), Feng-Lin Wu(吴风霖), Zhen-Yu Peng(彭振宇), and Si-Yuan Liu(刘思远). Chin. Phys. B, 2022, 31(7): 070302.
[4] Quantum algorithm for neighborhood preserving embedding
Shi-Jie Pan(潘世杰), Lin-Chun Wan(万林春), Hai-Ling Liu(刘海玲), Yu-Sen Wu(吴宇森), Su-Juan Qin(秦素娟), Qiao-Yan Wen(温巧燕), and Fei Gao(高飞). Chin. Phys. B, 2022, 31(6): 060304.
[5] Tetrapartite entanglement measures of generalized GHZ state in the noninertial frames
Qian Dong(董茜), R. Santana Carrillo, Guo-Hua Sun(孙国华), and Shi-Hai Dong(董世海). Chin. Phys. B, 2022, 31(3): 030303.
[6] Variational quantum eigensolvers by variance minimization
Dan-Bo Zhang(张旦波), Bin-Lin Chen(陈彬琳), Zhan-Hao Yuan(原展豪), and Tao Yin(殷涛). Chin. Phys. B, 2022, 31(12): 120301.
[7] Entanglement of two distinguishable atoms in a rectangular waveguide: Linear approximation with single excitation
Jing Li(李静), Lijuan Hu(胡丽娟), Jing Lu(卢竞), and Lan Zhou(周兰). Chin. Phys. B, 2021, 30(9): 090307.
[8] Dissipative dynamics of an entangled three-qubit system via non-Hermitian Hamiltonian: Its correspondence with Markovian and non-Markovian regimes
M Rastegarzadeh and M K Tavassoly. Chin. Phys. B, 2021, 30(3): 034205.
[9] Selected topics of quantum computing for nuclear physics
Dan-Bo Zhang(张旦波), Hongxi Xing(邢宏喜), Hui Yan(颜辉), Enke Wang(王恩科), and Shi-Liang Zhu(朱诗亮). Chin. Phys. B, 2021, 30(2): 020306.
[10] Quantifying entanglement in terms of an operational way
Deng-Hui Yu(于登辉) and Chang-Shui Yu(于长水). Chin. Phys. B, 2021, 30(2): 020302.
[11] Optimized monogamy and polygamy inequalities for multipartite qubit entanglement
Jia-Bin Zhang(张嘉斌), Zhi-Xiang Jin(靳志祥), Shao-Ming Fei(费少明), and Zhi-Xi Wang(王志玺). Chin. Phys. B, 2021, 30(10): 100310.
[12] Protecting the entanglement of two-qubit over quantum channels with memory via weak measurement and quantum measurement reversal
Mei-Jiao Wang(王美姣), Yun-Jie Xia(夏云杰), Yang Yang(杨阳), Liao-Zhen Cao(曹连振), Qin-Wei Zhang(张钦伟), Ying-De Li(李英德), and Jia-Qiang Zhao(赵加强). Chin. Phys. B, 2020, 29(11): 110307.
[13] Entanglement teleportation via a couple of quantum channels in Ising-Heisenberg spin chain model of a heterotrimetallic Fe-Mn-Cu coordination polymer
Yi-Dan Zheng(郑一丹), Zhu Mao(毛竹), Bin Zhou(周斌). Chin. Phys. B, 2019, 28(12): 120307.
[14] Experimental implementation of a continuous-time quantum random walk on a solid-state quantum information processor
Maimaitiyiming Tusun(麦麦提依明·吐孙), Yang Wu(伍旸), Wenquan Liu(刘文权), Xing Rong(荣星), Jiangfeng Du(杜江峰). Chin. Phys. B, 2019, 28(11): 110302.
[15] Direct measurement of the concurrence of hybrid entangled state based on parity check measurements
Man Zhang(张曼), Lan Zhou(周澜), Wei Zhong(钟伟), Yu-Bo Sheng(盛宇波). Chin. Phys. B, 2019, 28(1): 010301.
No Suggested Reading articles found!