Fetching the paper…
Reading the bibliography…
We present a formula for an infinite number of universal quantum logic gates, which are $4$ by $4$ unitary solutions to the Yang-Baxter (Y-B) equation.
V. F. R Jones, A polynomial invariant for knots via Von Neumann algebras, Bulletin (New Series) of the American Mathematical Society, Volume 12, Number 1, January 1985, 103-111
1985
Earlier work this paper cites.
Louis H. Kauffman, State models and the Jones polynomial. Topology 26 (1987), no. 3, 395–407
1987
Earlier work this paper cites.
V. G. Turaev, The Yang-Baxter equation and invariants of links, Inventiones mathematicae October 1988, Volume 92, Issue 3, pp 527-553
1988
Earlier work this paper cites.
Geometric Phases in Physics
1989
Earlier work this paper cites.
Ekert, A.: Quantum cryptography based on Bell?s theorem. Phys. Rev. Lett. 67
1991
Earlier work this paper cites.
Y.Cheng, M L Ge, and K Xue, Yang-Baxterization of Braid Group Representations, Commun. Math. Phys. 136, 195-208 (1991)
1991
Earlier work this paper cites.
Jarmo Hietarinta, All solutions to the constant quantum Yang-Baxter equation in two dimensions, Physics Letters A, Vol. 165, p. 245-251 North Holland, 1992
1992
Earlier work this paper cites.
Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A.,Wootters,W.K.: Teleporting an unknown quantum state via dual classical and Einstein?Podolsky?Rosen channels. Phys. Rev. Lett. 70
1993
Earlier work this paper cites.
Bennett, C.H., Wiesner, S.J.: Communication via one- and two-particle operators on Einstein?Podolsky?Rosen states. Phys. Rev. Lett. 69
1993
Earlier work this paper cites.
S. Majid, Foundations of quantum group theory
1995
Earlier work this paper cites.
Ch. Kassel, Quantum groups
1995
Earlier work this paper cites.
A. Barenco, A Universal Two-Bit Gate for Quantum Computation, Proceedings: Mathematical and Physical Sciences 449
1995
Cited alongside, same era.
Ekert, A., Jozsa, R.: Quantum computation and Shor?s factoring algorithm. Rev. Mod. Phys. 68
1996
Cited alongside, same era.
Williams, C.P., Clearwater, S.H.: Explorations in Quantum Computing. Springer, New York (1997)
1997
Cited alongside, same era.
Lo, H.-K., Popescu, S., Spiller, T.: Introduction to Quantum Computation and Information. World Scientific, River-Edge (1998)
1998
Cited alongside, same era.
Williams, C.P.: Quantum Computing and Quantum Communications. Springer, Berlin (1998)
1998
Cited alongside, same era.
Berman, G.P., Doolen, G.D., Mainieri, R., Tsifrinovich, V.I.: Introduction to Quantum Computers. World Scientific, Singapore (1998)
Louis H. Kauffman, Samuel J. Lomonaco, Jr., Entanglement criteria- quantum and topological, Quantum Information and Computation, 51 2003
2003
Later among the works it cites.
H. A. Dye, Unitary Solutions to the YangBaxter Equation in Dimension Four, Quantum Information Processing, April 2003, Volume 2, Issue 1, pp 117-152
2003
Later among the works it cites.
Louis H. Kauffman, Samuel J. Lomonaco, Jr., Braiding operators are universal quantum gates, New Journal of Physics 6 (2004) 134
2004
Later among the works it cites.
YangBaxterizations, Universal Quantum Gates and Hamiltonians, Quantum Information Processing August 2005, Volume 4, Issue 3, pp 159-197
2005
Later among the works it cites.
Yong Zhang, Louis H. Kauffman , Mo-Lin Ge, Universal Quantum Gates, YangBaxterizations and Hamiltonians, Journal of Quantum Information, Vol. 3, No. 4 (2005) 669678
2005
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
1998
Cited alongside, same era.
Nielsen, M. A., Chuang, I. L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
2000
Cited alongside, same era.
Galindo, A., Martín-Delgado, M.A.: Information and computation: classical and quantum aspects. Rev. Mod. Phys. 74
2002
Cited alongside, same era.
Louis H. Kauffman, Samuel J. Lomonaco, Jr. Quantum entanglement and topological entanglement, New Journal of Physics 4 (2002) 73.173.18
2002
Cited alongside, same era.
JL Brylinski, R Brylinski, Universal quantum gates, Mathematics of Quantum Computation, 2002
2002
Cited alongside, same era.
Cited in the paper.
Later among the works it cites.
Jing-Ling Chen, Kang Xue, and Mo-Lin Ge, Braiding transformation, entanglement swapping, and Berry phase in entanglement space, Phys. Rev. A 76, 042324 2007
2007
Later among the works it cites.
Micheal P. Knapp, Sines and Cosines of Angles in Arithmetic Progression, Mathematics Magazine, VOL. 82, NO. 5, 2009
2009
Later among the works it cites.
C.-L. Ho, A. I. Solomon, and C.-H. Oh, Quantum entanglement, unitary braid representation and Temperley-Lieb algebra, EPL (Europhysics Letters), Volume 92, 2010
2010
Later among the works it cites.
Eric Pinto, Marco A. S. Trindade, J. D. M. vianna, Quasitriangular Hopf algeras, braid groups and quantum entanglement, International Journal of Quantum Information Vol. 11, No. 7 (2013) 1350065
2013
Later among the works it cites.
A. Pal, E. I. Rashba, and B. I. Halperin, Exact CNOT gates with a single nonlocal rotation for quantum-dot qubits, Phys. Rev. B 92
2015
Closest in time.