126
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Quantum computational geodesics

Pages 2112-2117 | Received 12 Mar 2009, Accepted 11 Jul 2009, Published online: 20 Aug 2009

References

  • Nielsen , MA . 2006 . Quantum Informat. Comput. , 6 : 213 – 262 .
  • Nielsen , MA , Dowling , MR , Gu , M and Doherty , AC . 2006 . Phys. Rev. A , 73 : 062323 (1–7)
  • Nielsen , MA , Dowling , MR , Gu , M and Doherty , AC . 2006 . Science , 311 : 1133 – 1135 .
  • Dowling , MR and Nielsen , MA . 2008 . Quantum Informat. Comput. , 8 : 0861 – 0899 .
  • Brandt , HE . Riemannian Geometry of Quantum Computation. . Nonlinear Anal. , [Online early access]. DOI: 10.1016/j.na.2008.11.013. Published Online: Nov 11, 2008
  • Brandt , HE . 2008 . J. Mod. Opt. , 55 : 3403 – 3412 .
  • Brandt , HE . Riemannian Curvature in the Differential Geometry of Quantum Computation. . Physica E , [Online early access]. DOI: 10.1016/j.physe.2009.06.016. Published Online: Jun 24, 2009
  • Hou , BY and Hou , BY . 1997 . Differential Geometry for Physicists , Singapore : World Scientific .
  • Sagle , AA and Walde , RE . 1973 . Introduction to Lie Groups and Lie Algebras , New York : Academic Press .
  • Conlon , L . 2001 . Differentiable Manifolds, , 2nd , Berlin : Birkhäuser .
  • Lee , JM . 1997 . Riemannian Manifolds: An Introduction to Curvature , New York : Springer .
  • Berger , M . 2003 . A Panoramic View of Riemannian Geometry , Berlin : Springer-Verlag .
  • Hall , BC . 2000 . Lie Groups, Lie Algebras, and Representations , New York : Springer .
  • Postnikov , MM . 2001 . Geometry VI: Riemannian Geometry, Encyclopedia of Mathematical Sciences , Vol. 91 , Berlin : Springer-Verlag .
  • Petersen , P . 2006 . Riemannian Geometry, , 2nd , New York : Springer .
  • Naimark , MA and Stern , AI . 1982 . Theory of Group Representations , New York : Springer-Verlag .
  • Sepanski , MR . 2007 . Compact Lie Groups , Berlin : Springer .
  • Pfeifer , W . 2003 . The Lie Algebras su(N) , Basel : Birkhäuser .
  • Cornwell , JF . 1997 . Group Theory in Physics: An Introduction , San Diego, CA : Academic Press .
  • Cornwell , JF . 1984 . Group Theory in Physics , Vol. I and II , London : Academic Press .
  • Nielsen , MA and Chuang , IL . 2000 . Quantum Information and Computation , Cambridge, , UK : Cambridge University Press .
  • Steeb , W and Hardy , Y . 2006 . Problems and Solutions in Quantum Computing and Quantum Information, , 2nd , New Jersey : World Scientific .
  • Lax , PD . 1968 . Commun. Pure Appl. Math. , 21 : 467 – 490 .
  • Kaushal , RS and Parashar , D . 2000 . Advanced Methods of Mathematical Physics , Boca Raton, FL : CRC Press .
  • Miwa , T , Jimbo , M , Date , E and Reid , M . 2000 . Solitons , Cambridge, , UK : Cambridge University Press .
  • Debnath , L . 1997 . Nonlinear Partial Differential Equations , Boston, MA : Birkhäuser .
  • Zeidler , E . 1997 . Nonlinear Functional Analysis and its Applications IV: Applications to Mathematical Physics , New York : Springer-Verlag .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.