THREE-QUBIT QUANTUM ENTANGLEMENT FOR SI (S = 3/2, I = 1/2) SPIN SYSTEM

被引:0
作者
Gun, A. [1 ]
Gencten, A. [1 ]
机构
[1] Ondokuz Mayis Univ, Fac Arts & Sci, Dept Phys, TR-55139 Samsun, Turkey
关键词
Three-qubit states; three-qubit CNOT; quantum entanglement; endohedral fullerenes; magnetic resonance selective pulses;
D O I
10.1142/S0219749911008313
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In quantum information processing, spin-3/2 electron or nuclear spin states are known as two-qubit states. For SI (S = 3/2; I = 1/2) spin system, there are eight three-qubit states. In this study, first, three-qubit CNOT logic gates are obtained. Then three-qubit entangled states are obtained by using the matrix representation of Hadamard and three-qubit CNOT logic gates. By considering single P-31@C-60 molecule as SI (S = 3/2; I = 1/2) spin system, three-qubit entangled states are also obtained using the magnetic resonance pulse sequences of Hadamard and CNOT logic gates.
引用
收藏
页码:1635 / 1642
页数:8
相关论文
共 25 条
[1]   Computational study of N@C60, P@C60, and As@C60 [J].
BelBruno, JJ .
FULLERENES NANOTUBES AND CARBON NANOSTRUCTURES, 2002, 10 (01) :23-35
[2]  
Bell J. S., 1964, Physics, V1, P195, DOI [10.1103/physicsphysiquefizika.1.195, DOI 10.1103/PHYSICSPHYSIQUEFIZIKA.1.195, 10.1103/Physics-PhysiqueFizika.1.195]
[3]   ATOMS IN CARBON CAGES - THE STRUCTURE AND PROPERTIES OF ENDOHEDRAL FULLERENES [J].
BETHUNE, DS ;
JOHNSON, RD ;
SALEM, JR ;
DEVRIES, MS ;
YANNONI, CS .
NATURE, 1993, 366 (6451) :123-128
[4]   Quantum logical operations for spin 3/2 quadrupolar nuclei monitored by quantum state tomography [J].
Bonk, FA ;
deAzevedo, ER ;
Sarthour, RS ;
Bulnes, JD ;
Freitas, JCC ;
Guimaraes, AP ;
Oliveira, IS ;
Bonagamba, TJ .
JOURNAL OF MAGNETIC RESONANCE, 2005, 175 (02) :226-234
[5]   QUANTUM COMPUTATION [J].
DIVINCENZO, DP .
SCIENCE, 1995, 270 (5234) :255-261
[6]   Selective pulse implementation of two-qubit gates for spin-3/2-based fullerene quantum-information processing [J].
Feng, M ;
Twamley, J .
PHYSICAL REVIEW A, 2004, 70 (03) :032318-1
[7]   CONSTRUCTION AND APPLICATION OF FOUR-QUBIT SWAP LOGIC GATE IN NMR QUANTUM COMPUTING [J].
Gun, A. ;
Saka, I. ;
Gencten, A. .
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2011, 9 (02) :779-790
[8]   Fullerene-based electron-spin quantum computer [J].
Harneit, W .
PHYSICAL REVIEW A, 2002, 65 (03) :6
[9]   Quantum state engineering with spins [J].
Heidebrecht, Andreas ;
Mende, Jens ;
Mehring, Michael .
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 2006, 54 (8-10) :788-803
[10]   Quantum entanglement [J].
Horodecki, Ryszard ;
Horodecki, Pawel ;
Horodecki, Michal ;
Horodecki, Karol .
REVIEWS OF MODERN PHYSICS, 2009, 81 (02) :865-942