一类三量子比特 X 态的几何量子失协

Abstract

Abstract:

Based on the definition of multipartite quantum discord proposed in [Phys Rev Lett, 124, 110401(2020)], we give the analytic expression for the multipartite geometric quantum discord of one type of three-qubit X states which depend on four real parameters by measurement induction. And we present the level surfaces of the class of three-qubit X states. As an application, we investigate the dynamic behavior of multipartite geometric quantum discord for the three-qubit X states under the phase flip channel.

Key words: Geometric quantum discord, Three-qubit X states, Phase flip channel

CLC Number:

O177

Wei Jianing, Duan Zhoubo, Zhang Jun. Geometric Discord for a Class of Three-Qubit X States[J].Acta mathematica scientia,Series A, 2024, 44(5): 1144-1152.

Trendmd

Figures/Tables 2

References 18

[1]	Ollivier H, Zurek W H. Quantum discord: A measure of the quantumness of correlations. Physical Review Letters, 2001, 88(1): 017901
[2]	Henderson L, Vedral V. Classical, quantum and total correlations. Journal of Physics A: Mathematical and General, 2001, 34(35): 6899
[3]	Lanyon B P, Barbieri M, Almeida M P, et al. Experimental quantum computing without entanglement. Physical Review Letters, 2008, 101(20): 200501
[4]	Merali Z. The power of discord: Physicists have always thought quantum computing is hard because quantum states are incredibly fragile. But could noise and messiness actually help things along? Nature, 2011, 474(7349): 24-27
[5]	Li N, Luo S. Total versus quantum correlations in quantum states. Physical Review A, 2007, 76(3): 032327
[6]	Mazzola L, Piilo J, Maniscalco S. Sudden transition between classical and quantum decoherence. Physical Review Letters, 2010, 104(20): 200401
[7]	Niset J, Cerf N J. Multipartite nonlocality without entanglement in many dimensions. Physical Review A, 2006, 74(5): 052103
[8]	Werlang T, Souza S, Fanchini F F, et al. Robustness of quantum discord to sudden death. Physical Review A, 2009, 80(2): 024103
[9]	Sarandy M S. Classical correlation and quantum discord in critical systems. Physical Review A, 2009, 80(2): 022108
[10]	Dakič B, Lipp Y O, Ma X, et al. Quantum discord as resource for remote state preparation. Nature Physics, 2012, 8(9): 666-670
[11]	Dillenschneider R. Quantum discord and quantum phase transition in spin chains. Physical Review B, 2008, 78(22): 224413
[12]	Pirandola S. Quantum discord as a resource for quantum cryptography. Scientific Reports, 2014, 4(1): 06956
[13]	Rulli C C, Sarandy M S. Global quantum discord in multipartite systems. Physical Review A, 2011, 84(4): 042109
[14]	Luo S, Fu S. Geometric measure of quantum discord. Physical Review A, 2010, 82(3): 034302
[15]	Radhakrishnan C, Laurière M, Byrnes T. Multipartite generalization of quantum discord. Physical Review Letters, 2020, 124(11): 110401
[16]	Zhu C L, Hu B, Li B, et al. Geometric discord for multiqubit systems. Quantum Information Processing, 2022, 21(7): 1-15
[17]	Maziero J, Celeri L C, Serra R M, et al. Classical and quantum correlations under decoherence. Physical Review A, 2009, 80(4): 044102
[18]	Yu T, Eberly J H. Quantum open system theory: Bipartite aspects. Physical Review Letters, 2006, 97(14): 140403

Geometric Discord for a Class of Three-Qubit X States

RichHTML

PDF (PC)

Abstract

Cite this article

share this article

Figures/Tables 2

References 18

Related Articles 15

Metrics

Comments

Recommended 10

[1]	Chai Mengcen, Dai Yuxia. Freely Quasiconformal Mappings in Quasiconvex Metric Spaces [J]. Acta mathematica scientia,Series A, 2024, 44(5): 1127-1135.
[2]	Ding Xuanhao, Shao Changhui, Li Yongning. The Product of Volterra Operator and Toeplitz Operator [J]. Acta mathematica scientia,Series A, 2024, 44(4): 829-836.
[3]	Chen Xi, Wang Zhengping. Constrained Minimizers of Nonlinear S-P Equations with Dirac Potentials [J]. Acta mathematica scientia,Series A, 2024, 44(4): 907-913.
[4]	Hong Yong, Zhao Qian. Parameter Conditions for Constructing Bounded Discrete Operators with Super-Homogeneous Kernel and Estimation of the Operator Norm [J]. Acta mathematica scientia,Series A, 2024, 44(4): 837-846.
[5]	Dong Jianxiang. Hankel Operators on Vector-Valued Bergman Space with Exponential Type Weights [J]. Acta mathematica scientia,Series A, 2024, 44(3): 513-524.
[6]	Wang Panxing, Liang Yuxia, Pang Songyue. Numerical Range of the Complex Volterra Operator on Hardy Hilbert Space [J]. Acta mathematica scientia,Series A, 2024, 44(2): 276-285.
[7]	Zhou Yue, Yang Yan. Uncertainty Principles of Fractional Fourier Transform [J]. Acta mathematica scientia,Series A, 2024, 44(2): 257-264.
[8]	Zheng Lanling, Ding Huisheng. Almost Automorphy for a Class of Delay Differential Equations with Non-densely Defined Operators on Banach Spaces [J]. Acta mathematica scientia,Series A, 2024, 44(2): 361-375.
[9]	Chen Mingchao, Xue Yanfang. Multiple Solutions for a Class of Quasilinear Schrödinger Equations with a Perturbed Term [J]. Acta mathematica scientia,Series A, 2024, 44(2): 417-428.
[10]	Jian-Xiang DONG. Hankel Operators on vector-valued Bergman space with exponential type weights [J]. Acta mathematica scientia,Series A, 0, (): 0-0.
[11]	Jian Weigang, Long Wei. Tauberian Theorem for Asymptotically Periodic Functions and Its Application to Abstract Cauchy Problems [J]. Acta mathematica scientia,Series A, 2023, 43(6): 1699-1709.
[12]	Li Renhua, Wang Zhengping. Normalized Solution of Fractional Schrödinger-Poisson Equations with Coercive Potential [J]. Acta mathematica scientia,Series A, 2023, 43(6): 1723-1730.
[13]	Zhou Yinggao, Li Zhouxin. An Application of Linking Theorem to Degenerative Elliptic Equations [J]. Acta mathematica scientia,Series A, 2023, 43(6): 1759-1773.
[14]	Pan Lingrong, Wang Yuanheng. The Strong Convergence Theorem of Iterative Algorithms for the Fixed Point Problem, a System of Variational Inequalities, and a Split Equilibrium Problem in Hilbert Spaces [J]. Acta mathematica scientia,Series A, 2023, 43(6): 1880-1896.
[15]	Ding Xuanhao,Hou Lin,Li Yongning. The Reproducing Kernel of Bergman Space and the Eigenvectors of Toeplitz Operator [J]. Acta mathematica scientia,Series A, 2023, 43(5): 1333-1340.