Access the full text.
Sign up today, get DeepDyve free for 14 days.
(2008)
J. Math. Phys
Shuang-wei Hu, Ming-Guang Hu, K. Xue, M. Ge (2007)
Optical simulation of the Yang-Baxter equationPhysical Review A, 78
Charles Bennett, S. Wiesner (1992)
Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states.Physical review letters, 69 20
(2007)
Inf. Proc
Charles Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, W. Wootters (1993)
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels.Physical review letters, 70 13
L. Kauffman, S. Lomonaco (2004)
Braiding operators are universal quantum gatesNew Journal of Physics, 6
(1968)
Kauffman , and MoLin Ge , Quantum Information Processing , Vol . 4 , No . 3 , August 2005 [ 8 ] C . N . Yang
(2004)
Quantum State Engineering with qutrits
(2008)
Rev. Mod. Phys
(2006)
Phys. Lett. A
Jing-Ling Chen, K. Xue, M. Ge (2008)
Berry phase and quantum criticality in Yang-Baxter systemsAnnals of Physics, 323
Yong Zhang, L. Kauffman, M. Ge (2004)
Universal Quantum Gate, Yang-Baxterization and HamiltonianInternational Journal of Quantum Information, 3
(1989)
Phys. Rep
Ute Hoffmann (2021)
Quantum Information ProcessingGraduate Texts in Physics
(2002)
Comparing Quantum Entanglement and Topological Entanglement
(2002)
Phys. Rev. Lett
Jing-Ling Chen, K. Xue, M. Ge (2008)
All Pure Two-Qudit Entangled States Can be Generated via a Universal Yang--Baxter Matrix Assisted by Local Unitary Transformations
(2002)
Kauffman , and MoLin Ge , Quantum Information Processing , Vol . 4 , No . 3 , August 2005 8
Yong-Cheng Ou, H. Fan, S. Fei (2007)
Proper monogamy inequality for arbitrary pure quantum statesPhysical Review A, 78
(2002)
Machiavello.: Optimal Eavesdropping in Cryptography with ThreeDimensional
D. Hugh, J. Twamley (2005)
Trapped-ion qutrit spin molecule quantum computerNew Journal of Physics, 7
V.G. Drinfeld (1985)
Hopf algebras and the quantum Yang–Baxter equationSoviet Math. Dokl, 32
(1991)
Explicit Trigonometric YangCBaxterization
L. Kauffman, S. Lomonaco (2002)
Quantum entanglement and topological entanglementNew Journal of Physics, 4
P. Cochat, L. Vaucoret, J. Sarles (2008)
Et alEvidence Based Mental Health, 11
(2009)
J. Phys. A: Math. Theor
(2006)
Eryigit.:Analytical Study of Thermal Entanglment in a Two-dimensional J1 − J2 model
Ming-Guang Hu, K. Xue, M. Ge (2008)
Exact solution of a Yang-Baxter spin-1/2 chain model and quantum entanglementPhysical Review A, 78
Yong Zhang, E. Rowell, Yong-Shi Wu, Zhenghan Wang (2007)
From Extraspecial Two-Groups To GHZ States
Yong Zhang (2006)
Teleportation, braid group and Temperley-Lieb algebraJournal of Physics A, 39
M. Ge, Yong-Shi Wu, K. Xue (1991)
EXPLICIT TRIGONOMETRIC YANG-BAXTERIZATIONInternational Journal of Modern Physics A, 06
M. Murao, D. Jonathan, M. Plenio, V. Vedral (1998)
Quantum telecloning and multiparticle entanglementPhysical Review A, 59
(1999)
Phys. Rev. A
(2005)
New J. Phys
(1971)
Proc
(1999)
Vedral.:Quantum telecloning and multiparticle entanglement
D. Kaszlikowski, D. Oi, M. Christandl, Kelken Chang, A. Ekert, L. Kwek, C. Oh (2003)
Quantum cryptography based on qutrit Bell inequalitiesPhysical Review A, 67
Jing-Ling Chen, K. Xue, M. Ge (2007)
Braiding transformation, entanglement swapping, and Berry phase in entanglement spacePhysical Review A, 76
R. Brylinski, Goong Chen (2002)
Mathematics of Quantum Computation
(1985)
Soviet Math
R. Baxter (1982)
Exactly solved models in statistical mechanics
(2002)
Knots and Physics, World Scientific Publishers(2002)
Recep Eryigit, Y. Gündüç, R. Eryigit (2006)
Analytical study of thermal entanglement in a two-dimensional J1–J2 modelPhysics Letters A, 358
D. McHugh, J. Maynooth, Ireland, M. University, Sydney, Australia. (2005)
Trapped-ion qutrit spin molecule quantum computerarXiv: Quantum Physics
K. Życzkowski, P. Horodecki, A. Sanpera, M. Lewenstein (1998)
Volume of the set of separable statesPhysical Review A, 58
C. Yang (1968)
S MATRIX FOR THE ONE-DIMENSIONAL N-BODY PROBLEM WITH REPULSIVE OR ATTRACTIVE delta-FUNCTION INTERACTION.Physical Review, 168
(1989)
Exactly solvable models and knot theory, Phys
(2008)
Ann. Phys
L. Kauffman (1991)
Knots And Physics
(1994)
Optics Communications
D. Bruß, C. Macchiavello (2001)
Optimal eavesdropping in cryptography with three-dimensional quantum states.Physical review letters, 88 12
Y. Bogdanov, M. Chekhova, S. Kulik, G. Maslennikov, A. Zhukov, C. Oh, M. Tey (2004)
Qutrit state engineering with biphotons.Physical review letters, 93 23
(2007)
ICANNGA 2007, Part I, LNCS 4431
H. Bechmann-Pasquinucci, A. Peres (2000)
Quantum cryptography with 3-state systems.Physical review letters, 85 15
Charles Bennett, D. DiVincenzo (2000)
Quantum information and computationNature, 404
Yong Zhang, L. Kauffman, M. Ge (2005)
Yang–Baxterizations, Universal Quantum Gates and HamiltoniansQuantum Information Processing, 4
Juan Ospina made a Mathematica implementation of our method
P. Kulish, N. Manojlovic, Zoltán Nagy (2007)
Quantum symmetry algebras of spin systems related to Temperley-Lieb R-matricesJournal of Mathematical Physics, 49
X. Ma (2008)
Thermal entanglement of a two-qutrit XX spin chain with Dzialoshinski–Moriya interactionOptics Communications, 281
(2005)
Int. J. Quant. Inf
Gangcheng Wang, K. Xue, Chunfeng Wu, He Liang, C. Oh (2009)
Entanglement and the Berry phase in a new Yang–Baxter systemJournal of Physics A: Mathematical and Theoretical, 42
Yong Zhang, M. Ge (2007)
GHZ States, Almost-Complex Structure and Yang–Baxter EquationQuantum Information Processing, 6
(2007)
Quant
Xiaoguang Wang, S. Gu (2007)
Negativity, entanglement witness and quantum phase transition in spin-1 Heisenberg chainsJournal of Physics A: Mathematical and Theoretical, 40
Juan Ospina made a Mathematica implementation of our method, and the results in this paper were re-obtained
(2007)
and M
(1920)
Phys. Rev. Lett. Phys. Rev
Alexei Arkhipov (2008)
UNIVERSAL QUANTUM GATES
(1991)
Simon , Ady Stern , Michael Freedman , Sankar Das Sarma
(2004)
Phys. Rev. L
(2007)
Negativity, entanglement witnesses and quantum phase transition in spin-1
V. Drinfeld (1985)
Hopf algebras and the quantum Yang-Baxter equationProceedings of the USSR Academy of Sciences, 32
(2003)
Quantum cryptography based on qutrit
(1996)
Physical Review A
T. Durt, N. Cerf, N. Gisin, M. Żukowski (2002)
Security of Quantum Key Distribution with entangled Qutrits.Physical Review A, 67
(1985)
Dokl
C. Nayak, S. Simon, A. Stern, M. Freedman, S. Sarma (2007)
Non-Abelian Anyons and Topological Quantum ComputationReviews of Modern Physics, 80
(1993)
Phys
R. Baxter (1972)
Partition function of the eight vertex lattice modelAnnals of Physics, 281
R. Eryigit, Y. Guc, R. Eryigit (2006)
Analytical study of thermal entanglment in a two-dimensional J 1−J 2 modelPhys. Lett. A, 358
H. Temperley, E. Lieb (1971)
Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problemProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 322
(1985)
Drinfeld.: Hopf algebras and the quantum Yang-Baxter equation
Entanglement and Berry Phase in a (3 × 3)-dimensional Yang-Baxter System
(2006)
J. Phys. A: Math. Gen
V. Drinfeld (1985)
Hopf algebra and Yang-Baxter equation, 32
Jing-Ling Chen, Xue Kang, Mo-Lin Ge (2009)
All Pure Two-Qudit Entangled States Generated via a Universal Yang--Baxter Matrix Assisted by Local Unitary TransformationsChinese Physics Letters, 26
(1971)
Proc. Roy. Soc
C. Yang (1967)
Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function InteractionPhysical Review Letters, 19
L. Kauffman (2001)
Knots and Physics: Third Edition
M. Wadati, T. Deguchi, Y. Akutsu (1989)
Exactly solvable models and knot theoryPhysics Reports, 180
A method of constructing n 2 × n 2 matrix realization of Temperley–Lieb algebras is presented. The single loop of these realizations are $${d=\sqrt{n}}$$ . In particular, a 9 × 9-matrix realization with single loop $${d=\sqrt{3}}$$ is discussed. A unitary Yang–Baxter $${\breve{R}\theta,q_{1},q_{2})}$$ matrix is obtained via the Yang-Baxterization process. The entanglement properties and geometric properties (i.e., Berry Phase) of this Yang–Baxter system are explored.
Quantum Information Processing – Springer Journals
Published: Dec 18, 2009
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.