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Shuang-wei Hu, Ming-Guang Hu, K. Xue, M. Ge (2007)
Optical simulation of the Yang-Baxter equationPhysical Review A, 78
Muhammed Yonac, Ting Yu, J. Eberly (2007)
Pairwise concurrence dynamics: a four-qubit modelJournal of Physics B: Atomic, Molecular and Optical Physics, 40
Ting Yu (2005)
Entanglement decay versus energy change: A modelPhysics Letters A, 361
L. Kauffman, S. Lomonaco (2004)
Braiding operators are universal quantum gatesNew Journal of Physics, 6
Carlos Sab'in, Guillermo Garc'ia-Alcaine (2007)
A classification of entanglement in three-qubit systemsThe European Physical Journal D, 48
A. Kitaev (1997)
Fault tolerant quantum computation by anyonsAnnals of Physics, 303
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
Z. Ficek, R. Tanas (2006)
Dark periods and revivals of entanglement in a two-qubit systemPhysical Review A, 74
O. Gühne, P. Hyllus, D. Bruß, A. Ekert, M. Lewenstein, C. Macchiavello, A. Sanpera (2002)
Experimental detection of entanglement via witness operators and local measurementsJournal of Modern Optics, 50
M.A. Nielsen, I.L. Chuang (2000)
Quantum Computation and Quantum Information
Ru-Fen Liu, Chia-Chu Chen (2006)
Role of the Bell singlet state in the suppression of disentanglementPhysical Review A, 74
B. Röthlisberger, J. Lehmann, D. Saraga, Philipp Traber, D. Loss (2007)
Highly entangled ground States in tripartite qubit systems.Physical review letters, 100 10
G. Badurek, H. Rauch, A. Zeilinger, W. Bauspiess, U. Bonse (1976)
Phase-shift and spin-rotation phenomena in neutron interferometryPhysical Review D, 14
V.G. Drinfeld (1985)
Hopf algebras and the quantum Yang-Baxter equationSoviet Math. Dokl, 32
Chuanwei Zhang, Chuan‐Feng Li, Zi-Yang Wang, G. Guo (2000)
Probabilistic quantum cloning via Greenberger-Horne-Zeilinger statesPhysical Review A, 62
A. Zeilinger (1986)
Complementarity in neutron interferometryPhysica B-condensed Matter, 137
L. Aolita, Rafael Chaves, Daniel Cavalcanti, A. Acín, L. Davidovich (2008)
Scaling laws for the decay of multiqubit entanglement.Physical review letters, 100 8
Jing-Ling Chen, K. Xue, M. Ge (2007)
Braiding transformation, entanglement swapping, and Berry phase in entanglement spacePhysical Review A, 76
S. Haroche, J.-M. Raimond (2006)
Exploring the Quantum: Atoms, Cavities, and Photons
I. Sainz, G. Bjork (2007)
Entanglement invariant for the double Jaynes-Cummings modelPhysical Review A, 76
R. Brylinski, Goong Chen (2002)
Mathematics of Quantum Computation
R. Baxter (1982)
Exactly solved models in statistical mechanics
C. López, G. Romero, F. Lastra, E. Solano, J. Retamal (2008)
Sudden birth versus sudden death of entanglement in multipartite systems.Physical review letters, 101 8
S. Stenholm, K. Suominen (2005)
Quantum Approach to Informatics
C. Yang (1968)
S MATRIX FOR THE ONE-DIMENSIONAL N-BODY PROBLEM WITH REPULSIVE OR ATTRACTIVE delta-FUNCTION INTERACTION.Physical Review, 168
I. Sainz, G. Björk (2008)
Erratum: Entanglement invariant for the double Jaynes-Cummings model [Phys. Rev. A 76, 042313 (2007)]Physical Review A, 78
J. Brylinski, R. Brylinski (2001)
Universal quantum gatesarXiv: Quantum Physics
J. Slingerland, F. Bais (2001)
Quantum groups and non-Abelian braiding in quantum Hall systemsNuclear Physics, 612
K. Roszak, P. Machnikowski (2005)
Complete disentanglement by partial pure dephasingPhysical Review A, 73
T. Hu, Chunfang Sun, K. Xue (2010)
The sudden death of entanglement in constructed Yang–Baxter systemsQuantum Information Processing, 9
Muhammed Yonac, Ting Yu, J. Eberly (2006)
Sudden death of entanglement of two Jaynes–Cummings atomsJournal of Physics B: Atomic, Molecular and Optical Physics, 39
T. Hu, Chunfeng Wu, K. Xue (2009)
Berry phase and entanglement of three qubits in a new Yang–Baxter systemJournal of Mathematical Physics, 50
A. Acín, D. Bruß, M. Lewenstein, A. Sanpera (2001)
Classification of mixed three-qubit states.Physical review letters, 87 4
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
R. Horodecki, P. Horodecki, M. Horodecki, K. Horodecki (2009)
Quantum entanglementRev. Mod. Phys, 81
Yong Zhang, M. Ge (2007)
GHZ States, Almost-Complex Structure and Yang–Baxter EquationQuantum Information Processing, 6
P. Reis, S. Sharma (2008)
Generation of field mediated three qubit entangled state shared by Alice and BobPhysical Review A, 79
W. Wootters (1997)
Entanglement of Formation of an Arbitrary State of Two QubitsPhysical Review Letters, 80
V. Drinfeld (1985)
Hopf algebras and the quantum Yang-Baxter equationProceedings of the USSR Academy of Sciences, 32
Ting Yu, J. Eberly (2004)
Finite-time disentanglement via spontaneous emission.Physical review letters, 93 14
Masahito Hayashi, D. Markham, M. Murao, M. Murao, M. Owari, S. Virmani (2005)
Bounds on multipartite entangled orthogonal state discrimination using local operations and classical communication.Physical review letters, 96 4
Nikolay Raychev, I. Chuang (2010)
Quantum Computation and Quantum Information: Bibliography
R. Baxter (1972)
Partition function of the eight vertex lattice modelAnnals of Physics, 281
M. Hillery, V. Bužek, A. Berthiaume (1998)
Quantum secret sharingPhysical Review A, 59
V. Drinfeld (1985)
Hopf algebra and Yang-Baxter equation, 32
C. Roos, M. Riebe, H. Häffner, W. Hänsel, J. Benhelm, G. Lancaster, C. Becher, F. Schmidt-Kaler, R. Blatt (2004)
Control and Measurement of Three-Qubit Entangled StatesScience, 304
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
C. Yang (1967)
Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function InteractionPhysical Review Letters, 19
S. Qin, F. Gao, Q. Wen, F. Zhu (2007)
Cryptanalysis of the Hillery-Buzek-Berthiaume quantum secret-sharing protocolPhysical Review A, 76
Jennifer Franko, E. Rowell, Zhenghan Wang (2005)
Extraspecial 2-groups and images of braid group representationsJournal of Knot Theory and Its Ramifications, 15
Ting Yu, J. Eberly (2003)
Qubit disentanglement and decoherence via dephasingPhysical Review B, 68
In this paper, we derive unitary Yang-Baxter $${\breve{R}(\theta, \varphi)}$$ matrices from the $${8\times8\,\mathbb{M}}$$ matrix and the 4 × 4 M matrix by Yang-Baxteration approach, where $${\mathbb{M}/M}$$ is the image of the braid group representation. In Yang-Baxter systems, we explore the evolution of tripartite negativity for three qubits Greenberger-Horne-Zeilinger (GHZ)-type states and W-type states and investigate the evolution of the bipartite concurrence for 2 qubits Bell-type states. We show that tripartite entanglement sudden death (ESD) and bipartite ESD all can happen in Yang-Baxter systems and find that ESD all are sensitive to the initial condition. Interestingly, we find that in the Yang-Baxter system, GHZ-type states can have bipartite entanglement and bipartite ESD, and find that in some initial conditions, W-type states have tripartite ESD while they have no bipartite Entanglement. It is worth noting that the meaningful parameter $${\varphi}$$ has great influence on bipartite ESD for two qubits Bell-type states in the Yang-Baxter system.
Quantum Information Processing – Springer Journals
Published: Jan 21, 2011
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