YANG–BAXTER EQUATIONS IN QUANTUM INFORMATION

Type: Article

Publication Date: 2012-09-18

Citations: 14

DOI: https://doi.org/10.1142/s0217979212430072

View

Locations

  • International Journal of Modern Physics B - View

Similar Works

Action Title Year Authors
+ Yang–Baxter matrices associated with quantum information based on the topological basis 2016 Li-Wei Yu
Kang Xue
Mo‐Lin Ge
+ PDF Chat Quantum teleportation and Birman–Murakami–Wenzl algebra 2017 Kun Zhang
Yong Zhang
+ Quantum teleportation and Birman-Murakami-Wenzl algebra 2016 Kun Zhang
Yong Zhang
+ The $\ell_{1}$-norm in quantum information via the approach of Yang-Baxter Equation 2010 Kai Niu
Kang Xue
Qing Zhao
Mo‐Lin Ge
+ PDF Chat Birman–Wenzl–Murakami algebra, topological parameter and Berry phase 2011 Chengcheng Zhou
Kang Xue
Lidan Gou
Chunfang Sun
Gangcheng Wang
Taotao Hu
+ Birman-Wenzl-Murakami Algebra, Topological parameter and Berry phase 2010 Chengcheng Zhou
Kang Xue
Lidan Gou
Chunfang Sun
Gangcheng Wang
Taotao Hu
+ The role of the ℓ<sub>1</sub>-norm in quantum information theory and two types of the Yang–Baxter equation 2011 Kai Niu
Kang Xue
Qing Zhao
Mo‐Lin Ge
+ Topological Basis Associated with BWMA, Extremes of L1-norm in Quantum Information and Applications in Physics 2012 Qing Zhao
Ruo-Yang Zhang
Kang Xue
Mo‐Lin Ge
+ Yang Baxterization 1993 You‐Quan Li
+ Extended Birman-Wenzl algebra and Yang-Baxterization 1993 Mo‐Lin Ge
Kang Xue
+ A REPRESENTATION OF SPECIALIZED BIRMAN-WENZL-MURAKAMI ALGEBRA AND BERRY PHASE IN YANG-BAXTER SYSTEM 2010 Lidan Gou
Kang Xue
Qingyong Wang
Gangcheng Wang
Chunfang Sun
+ PDF Chat Some Results on Zinbiel Algebras and Rota–Baxter Operators 2024 Jizhong Gao
Junna Ni
Jianhua Yu
+ A New Representation of Birman-Wenzl Algebra and Solution of Yang-Baxter Equation 1993 Lu-Yu Wang
Jim-Hui Dai
Jun Zhang
+ PDF Chat Optical simulation of the Yang-Baxter equation 2008 Shuang-Wei Hu
Kang Xue
Mo‐Lin Ge
+ Algebras based on Yang-Baxter operators 1993 Władysław Marcinek
+ PDF Chat ℓ1-norm and entanglement in screening out braiding from Yang–Baxter equation associated with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:math> parafermion 2017 Li-Wei Yu
Mo‐Lin Ge
+ New type of solutions of Yang-Baxter equations, quantum entanglement and related physical models 2019 Li-Wei Yu
Mo‐Lin Ge
+ A 9 × 9 Matrix Representation of Birman—Wenzl—Murakami Algebra and Berry Phase in Yang—Baxter System 2011 Lidan Gou
Kang Xue
Gangcheng Wang
+ THE REPRESENTATIONS OF TEMPERLEY-LIEB ALGEBRA AND ENTANGLEMENT IN A YANG-BAXTER SYSTEM 2009 Chunfang Sun
Gangcheng Wang
Taotao Hu
Chengcheng Zhou
Qingyong Wang
Kang Xue
+ PDF Chat Yang-Baxter $${\breve R}$$ matrix, entanglement and Yangian 2011 Gangcheng Wang
Kang Xue
Chunfang Sun
Guijiao Du

Cited by (13)

Action Title Year Authors
+ PDF Chat Topological basis associated with B–M–W algebra: Two-spin-1/2 realization 2014 Gangcheng Wang
Chunfang Sun
Bo Liu
Ying Liu
Yan Zhang
Kang Xue
+ PDF Chat Multipartite d-level GHZ bases associated with generalized braid matrices 2014 Gangcheng Wang
Chunfang Sun
Chunfeng Wu
Bo Liu
Yan Zhang
Kang Xue
+ The open XXZ spin chain model and the topological basis realization 2016 Qingyong Wang
Yangyang Du
Chunfeng Wu
Gangcheng Wang
Chunfang Sun
Kang Xue
+ New type of solutions of Yang-Baxter equations, quantum entanglement and related physical models 2019 Li-Wei Yu
Mo‐Lin Ge
+ PDF Chat Local unitary representation of braids and N-qubit entanglements 2018 Li-Wei Yu
+ Topological basis realization associated with Hermitian and non-Hermitian Heisenberg XXZ model 2018 Shiyao Gong
Gangcheng Wang
Yunfei Sang
Ruoqi Xiao
Chunfang Sun
Kang Xue
+ Topological basis realization for BMW algebra and Heisenberg XXZ spin chain model 2015 Bo Liu
Kang Xue
Gangcheng Wang
Ying Liu
Chunfang Sun
+ The q-deformed Haldane-Shastry Spin Chain Model and the Corresponding Topological Basis Realization 2021 Yizi Zhu
Yue Deng
Chunfang Sun
+ Yang–Baxter equations and quantum entanglements 2014 Mo‐Lin Ge
Kang Xue
Ruo-Yang Zhang
Qing Zhao
+ $\mathbb{Z}_3$ Parafermionic Chain Emerging From Yang-Baxter Equation 2015 Li-Wei Yu
Mo‐Lin Ge
+ PDF Chat More about the doubling degeneracy operators associated with Majorana fermions and Yang-Baxter equation 2015 Li-Wei Yu
Mo‐Lin Ge
+ PDF Chat $$\ell _1$$-norm in three-qubit quantum entanglement constrained by Yang–Baxter equation 2020 Li-Wei Yu
Mo‐Lin Ge
+ More about the doubling degeneracy operators associated with Majorana fermions and Yang-Baxter equation 2014 Li-Wei Yu
Mo‐Lin Ge

Citing (26)

Action Title Year Authors
+ The Kauffman polynomial of links and representation theory 1987 Jun Murakami
+ PDF Chat Yang-Baxterization of braid group representations 1991 Yi Cheng
M. L. Ge
Ke Xue
+ PDF Chat Braids, link polynomials and a new algebra 1989 Joan S. Birman
Hans Wenzl
+ PDF Chat QuantumR matrix for the generalized Toda system 1986 Michio Jimbo
+ PDF Chat Berry phase and quantum criticality in Yang–Baxter systems 2008 Jing‐Ling Chen
Kang Xue
Mo‐Lin Ge
+ THE QUANTUM METHOD OF THE INVERSE PROBLEM AND THE HEISENBERG XYZ MODEL 1979 L A Takhtadzhan
Lyudvig Dmitrievich Faddeev
+ EXPLICIT TRIGONOMETRIC YANG-BAXTERIZATION 1991 Mo‐Lin Ge
Yong-Shi Wu
Kang Xue
+ Quantum groups constructed from the nonstandard braid group representations in the Faddeev-Reshetikhin-Takhtajan approach. II 1992 Mo -L Ge
Alfred C. T. Wu
+ Solutions of the Yang-Baxter equation 1982 P. P. Kulish
E. K. Sklyanin
+ PDF Chat Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies? 2006 Emmanuel J. Candès
Terence Tao
+ Partition function of the Eight-Vertex lattice model 1972 R. J. Baxter
+ Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem 1971 H. N. V. Temperley
Élliott H. Lieb
+ A Modular Functor Which is Universal¶for Quantum Computation 2002 Michael Freedman
Michael Larsen
Zhenghan Wang
+ Yang-Baxter Equation in Integrable Systems 1990 Michio Jimbo
+ Braid group, knot theory and statistical mechanics 1990 Gian‐Carlo Rota
+ PDF Chat Braiding operators are universal quantum gates 2004 Louis H. Kauffman
Samuel J. Lomonaco
+ Compressed sensing 2006 David L. Donoho
+ PDF Chat Braiding transformation, entanglement swapping, and Berry phase in entanglement space 2007 Jing‐Ling Chen
Kang Xue
Mo‐Lin Ge
+ PDF Chat Exact solution of a Yang-Baxter spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>1</mml:mn><mml:mo>∕</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math>chain model and quantum entanglement 2008 Ming-Guang Hu
Kang Xue
Mo‐Lin Ge
+ PDF Chat Quantum groups and non-Abelian braiding in quantum Hall systems 2001 J. K. Slingerland
F.A. Bais
+ PDF Chat Yang–Baxterizations, Universal Quantum Gates and Hamiltonians 2005 Yong Zhang
Louis H. Kauffman
Mo‐Lin Ge
+ PDF Chat Topologically Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State 2005 S. Das Sarma
Michael Freedman
Chetan Nayak
+ PDF Chat Non-Abelian anyons and topological quantum computation 2008 Chetan Nayak
Steven H. Simon
Ady Stern
Michael Freedman
S. Das Sarma
+ PDF Chat Optical simulation of the Yang-Baxter equation 2008 Shuang-Wei Hu
Kang Xue
Mo‐Lin Ge
+ PDF Chat Topologization of electron liquids with Chern-Simons theory and quantum computation 2006 Zhenghan Wang
+ PDF Chat 2n-quasihole states realize 2n−1-dimensional spinor braiding statistics in paired quantum Hall states 1996 Chetan Nayak
Frank Wilczek