Unextendible Maximally Entangled Bases and Mutually Unbiased Bases in ?sup class="a-plus-plus"> d ⊿?sup class="a-plus-plus"> d-/em>

详细信息    查看全文

• 作者：Hua Nan ; Yuan-Hong Tao ; Lin-Song Li…
• 关键词：Unextendible maximally entangled bases ; Maximally entangled states ; Mutually unbiased bases
• 刊名：International Journal of Theoretical Physics
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：54
• 期：3
• 页码：927-932
• 全文大小：156 KB
• 参考文献：1. Bennett, C.H., Divincenzo, D.P., Mor, T., Shor, P.W., Smolin, J.A., Terhal, B.M.: Phys. Rev. Lett. 82, 5385 (1999) CrossRef
  2. Bennett, C.H., DiVincenzo, D.P., Fuchs, C.A., Mor, T., Rains, E., Shor, P.W., Smolin, J.A., Wootters, W.K.: Phys. Rev. A 59, 1070-091 (1999) CrossRef
  3. DiVincenzo, D.P., Mor, T., Shor, P.W., Smolin, J.A., Terhal, B.M.: Commun. Math. Phys. 238, 379-10 (2003) CrossRef
  4. Terhal, B.M.: Linear Algebra Appl. 323, 61-3 (2001) CrossRef
  5. Bravyi, S., Smolin, J.A.: Phys. Rev. A 84, 042306 (2011) CrossRef
  6. Barreiro, J.T., Wei, T.C., Kwiat, P.G.: Nat. Phys. 4, 282 (2008) CrossRef
  7. Ishizaka, S., Hiroshima, T.: Phys. Rev. A 79, 042306 (2009) CrossRef
  8. Albeverio, S., Fei, S.M., Yang, W.L.: Phys. Rev. A 66, 012301 (2002) CrossRef
  9. Li, Z.G., Zhao, M.J., Fei, S.M., Fan, H., Liu, W.M.: Quantum Inf. Comput. 63, 12 (2012)
  10. Chen, B., Fei, S.M.: Phys. Rev. A 88, 034301 (2013) CrossRef
  11. Wootters, W.K., Fields, B.D.: Ann. Phys. 191, 363-81 (1989) CrossRef
  12. Vourdas, A.: Rep. Prog. Phys. 67 (3), 267-20 (2004) CrossRef
  13. Bjork, G., Klimov, A.B., Sanchez-Soto, L.L.: Prog. Opt. 51, 469-16 (2008) CrossRef
  14. Nikolopoulos, G.M., Alber, G.: Phys. Rev. A 72, 032320 (2005) CrossRef
  15. Mafu, M., Dudley, A., Goyal, S., Giovannini, D., McLaren, M., Padgett, M.J., Konrad, T., Petruccione, F., Lutkenhaus, N., Forbes, A.: Phys. Rev. A 88, 032305 (2013) CrossRef
  16. Paw lowski, M., Zukowski, M.: Phys. Rev. A 81, 042326 (2010) CrossRef
  17. Paz, J.P., Roncaglia, A. J., Saraceno, M.: Phys. Rev. A 72, 012309 (2005) CrossRef
  18. Revzen, M.: J. Phys. A 46, 075303 (2013) CrossRef
  19. Boykin, P.O., Sitharm, M., Tiep, P.H., Wocjan, P.: Quantum Inf. Comp. 7, 371 (2007)
  20. Lay, D.C.: Linear algebra and it’s applications. Pearson Education (2002)
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Quantum Physics
  Elementary Particles and Quantum Field Theory
  Mathematical and Computational Physics
  
• 出版者：Springer Netherlands
• ISSN：1572-9575

文摘

We systematically study the unextendible maximally entangled basis in arbitrary bipartite spaces \(\mathbb {C}^{d} \otimes \mathbb {C}^{d^{\prime }}\ (d . We give an example of UMEB in \(\mathbb {C}^{2} \otimes \mathbb {C}^{5}\) , and show that there are q d 2-member UMEBs in \(\mathbb {C}^{d} \otimes \mathbb {C}^{d^{\prime }}(d^{\prime }=qd+r, \ q,r\in \mathbb {Z}^{+}, r . Moreover, we present two complete UMEBs in \(\mathbb {C}^{3} \otimes \mathbb {C}^{4}\) which are mutually unbiased.