Quantum Fisher Information of Several Qubitsin the Superposition of A GHZ and two W Stateswith Arbitrary Relative Phase

被引:18
作者
Ozaydin, Fatih [1 ]
Altintas, Azmi Ali [2 ]
Bugu, Sinan [3 ]
Yesilyurt, Can [4 ]
Arik, Metin [5 ,6 ]
机构
[1] Isik Univ, Fac Sci & Letters, Dept Informat Technol, Istanbul, Turkey
[2] Okan Univ, Dept Elect Engn, Fac Engn & Architecture, Istanbul, Turkey
[3] Istanbul Univ, Dept Comp Engn, Inst Sci, Istanbul, Turkey
[4] Okan Univ, Dept Comp Engn, Fac Engn & Architecture, Istanbul, Turkey
[5] Bogazici Univ, Fac Sci & Letters, Dept Phys, Istanbul, Turkey
[6] Isik Univ, Fac Sci & Letters, Dept Phys, Istanbul, Turkey
关键词
Quantum Fisher information; GHZ states; W states; Heisenberg limit;
D O I
10.1007/s10773-014-2119-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the quantum Fisher information (QFI) of a system of several particles which is in a superposition of a GHZ and two W states with arbitrary relative phase. We show that as the number of particles increases from 3 to 4, the behavior of QFI drastically changes. We also show how the dependence of QFI on the relative phase weakens as the number of particles increases. We also analyze the QFI for the state for several instances of N due to the change of the relative phases.
引用
收藏
页码:3219 / 3225
页数:7
相关论文
共 18 条
[1]   Constructing quantum logic gates using q-deformed harmonic oscillator algebras [J].
Altintas, Azmi Ali ;
Ozaydin, Fatih ;
Yesilyurt, Can ;
Bugu, Sinan ;
Arik, Metin .
QUANTUM INFORMATION PROCESSING, 2014, 13 (04) :1035-1044
[2]   Quantum Fisher information for a qubit system placed inside a dissipative cavity [J].
Berrada, K. ;
Abdel-Khalek, S. ;
Obada, A. -S. F. .
PHYSICS LETTERS A, 2012, 376 (17) :1412-1416
[3]   Enhancing the W-state quantum-network-fusion process with a single Fredkin gate [J].
Bugu, Sinan ;
Yesilyurt, Can ;
Ozaydin, Fatih .
PHYSICAL REVIEW A, 2013, 87 (03)
[4]   Local and global distinguishability in quantum interferometry [J].
Durkin, Gabriel A. ;
Dowling, Jonathan P. .
PHYSICAL REVIEW LETTERS, 2007, 99 (07)
[5]   Quantum-enhanced measurements: Beating the standard quantum limit [J].
Giovannetti, V ;
Lloyd, S ;
Maccone, L .
SCIENCE, 2004, 306 (5700) :1330-1336
[6]   Spin Squeezing and Quantum Fisher Information for Mixed Hamiltonian Model [J].
Hu, Guo-Jin ;
Hu, Xiu-Xia .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2014, 53 (02) :533-537
[7]   Not all pure entangled states are useful for sub-shot-noise interferometry [J].
Hyllus, Philipp ;
Guehne, Otfried ;
Smerzi, Augusto .
PHYSICAL REVIEW A, 2010, 82 (01)
[8]   Quantum Fisher Information in Two-Qubit Pure States [J].
Liu, Wan-Fang ;
Zhang, Li-Hua ;
Li, Chun-Jie .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2010, 49 (10) :2463-2475
[9]   Quantum Fisher Information in the Generalized One-axis Twisting Model [J].
Liu, Wan-Fang ;
Xiong, Heng-Na ;
Ma, Jian ;
Wang, Xiaoguang .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2010, 49 (05) :1073-1081
[10]   Quantum Fisher information of the Greenberg-Horne-Zeilinger state in decoherence channels [J].
Ma, Jian ;
Huang, Yi-xiao ;
Wang, Xiaoguang ;
Sun, C. P. .
PHYSICAL REVIEW A, 2011, 84 (02)