References
- Bose S. Quantum communication through an unmodulated spin chain. Phys Rev Lett. 2003;91: 207901.
- Coutinho G, Godsil C. Perfect state transfer in poly-time. Quantum Inf Comput. 2017;17(5):495–502.
- Christandl M, Datta N, Dorlas TC, et al. Perfect state transfer of arbitary state in quantum spin networks. Phys Rev A. 2005;73(3):309–315.
- Christandl M, Datta N, Ekert A, et al. Perfect state transfer in quantum spin networks. Phys Rev Lett. 2004;92(18):187902.
- Godsil C. State transfer on graphs. Discret Math. 2012;312(1):129–147.
- Tan T, Feng K, Cao X. Perfect state transfer on abelian Cayley graphs. Linear Algebra Appl. 2019;563:331–352.
- Godsil C. Periodic graphs. Electron J Comb. 2011;18(1):23.
- Godsil C. When can perfect state transfer occur? Electron J Linear Algebra. 2012;23:877–890.
- Bašić M. Characterization of circulant graphs having perfect state transfer. Quantum Inf Process. 2013;12:345–364.
- Cheung W, Godsil C. Perfect state transfer in cubelike graphs. Linear Algebra Appl. 2011;435(10):2468–2474.
- Coutinho G, Godsil C, Guo K, et al. Perfect state transfer on distance-regular graphs and association schemes. Linear Algebra Appl. 2015;478:108–130.
- Štefaňák M, Shoupý S. Perfect state transfer by means of discrete-time quantum walk on complete bipartite graphs. Quantum Inf Process. 2017;16(3):1–14.
- Johnston N, Kirkland S, Plosker S, et al. Perfect state transfer using Hadamard diagonalizable graphs. Linear Algebra Appl. 2017;531:373–398.
- Pal H, Bhattacharjya B. A class of gcd-graphs having prefect state transfer. Electron Notes Discret Math. 2016;53:319–329.
- Pal H, Bhattacharjya B. Perfect state transfer on gcd-graphs. Linear Multilinear Algebra. 2017;65(11):2245–2256.
- Zhan H. An infinite family of circulant graphs with perfect state transfer in discrete quantum walks. Quantum Inf Process. 2019;18(12):1–26.
- Cao X, Feng K, Tan Y. Perfect state transfer on weighted abelian Cayley graphs. Chin Ann Math Ser B. 2021;42(4):625–642.
- Cao X, Feng K. Perfect state transfer on Cayley graphs over dihedral groups. Linear Multilinear Algebra. 2021;69(2):343–360.
- Luo G, Cao X, Wang D, et al. Perfect quantum state transfer on Cayley graphs over semi-dihedral group. Linear Multilinear Algebra. 2021;1–17. doi:10.1080/03081087.2021.1954585.
- Cheng T, Feng L, Huang H. Integral graphs over dicyclic groups. Linear Algebra Appl. 2019;566:121–137.
- Huang J, Li S. Distance-integral Cayley graphs over abelian groups and dicyclic groups. J Algebr Comb. 2021;54(4):1047–1063.
- James G, Liebeck M. Representations and characters of groups. 2nd ed. Cambridge University Press: Cambridge; 2001.
- Abdollahi A, Vatandoost E. Which Cayley graphs are integral? Electron J Comb. 2009;16(1):R122.
- Godsil C, Royle G. Algebraic graph theory (GTM 207). New York: Springer-Verlag; 2001.
- Bai L. Spectra of Cayley graphs. J Comb Theory Ser B. 1979;27(2):180–189.
- Steinberg B. Representation theory of finite groups: an introductory approach. New York: Springer; 2012.
- Bridges WG, Mena RA. Rational G-matrices with rational eigenvalues. J Comb Theory Ser A. 1982;32(2):264–280.
- Ahmady A, Bell JP, Mohar B. Integral Cayley graphs and groups. SIAM J Discret Math. 2014;28(2):685–701.
- Estélyi I, Kovács I. On groups all of whose undirected Cayley graphs of bounded valency are integral. Electron J Comb. 2014;21(4):P4.45.
- Ma X, Wang K. On finite groups all of whose cubic Cayley graphs are integral. J Algebra Appl. 2016;15(06):1650105.
- Lu L, Huang Q, Huang X. Integral Cayley graphs over dihedral groups. J Algebr Comb. 2018;47(4):585–601.
- Cheng T, Feng L, Yu G, et al. Integral Cayley graphs over semi-dihedral groups. Appl Anal Discret Math. 2021;00:1–1.
- Bennett CH, Brassard G. Quantum cryptography: public key distribution and coin tossing. In: Proceedings IEEE International Conference Computers Systems and Signal Processing; 1984. p. 175–179.