Tensor-product versus geometric-product coding

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 1, 2008, Pages

  Aerts, Diederik ^a   Czachor, Marek ^b,c  

^a VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

^b UNIVERSITY OF GDA SK   (Poland)

^c UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

ENCODING (SYMBOLS); QUANTUM COMPUTERS;

GEOMETRIC OBJECTS; HADAMARD STATES; POLYLINES;

TENSORS;

EID: 38349161392     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.012316     Document Type: Article

References (24)

1. D. Aerts and M. Czachor, J. Phys. A JPHAC5 0305-4470 10.1088/1751-8113/ 40/13/F01 40, F259 (2007)
2. D. Aerts and M. Czachor, e-print arXiv:quant-ph/0610187.
3. D. Deutsch and R. Jozsa, Proc. R. Soc. London, Ser. A PRLAAZ 0950-1207 10.1098/rspa.1992.0167 439, 553 (1992).
4. D. R. Simon, SIAM J. Comput. SMJCAT 0097-5397 10.1137/S0097539796298637 26, 1474 (1997).
5. T. Magulski and Å. Orowski, e-print arXiv:0705.4289.
6. M. Czachor, J. Phys. A JPHAC5 0305-4470 10.1088/1751-8113/40/31/F01 40, F753 (2007).
7. T. F. Havel, C. Doran, and S. Furuta, Proc. R. Soc. London, Ser. A (to be published).
8. P. W. Shor, in Proceedings of the 35th Annual Symposium on the Theory of Computer Science, edited by S. Goldwasser (IEEE Computer Society Press, Los Alamitos, CA, 1994).
9. J. Christian, e-print arXiv:0707.1333.
10. J. S. Bell, Physics 1, 195 (1964). 0148-6349
11. M. Pawowski and M. Czachor, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.042111 73, 042111 (2006).
12. M. Pawowski, e-print arXiv:quant-ph/0611051.
13. V. Vedral, A. Barenco, and A. Ekert, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.147 54, 147 (1996).
14. D. Beckman, A. N. Chari, S. Devabhaktuni, and J. Preskill, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.1034 54, 1034 (1996).
15. R. Van Meter and K. M. Itoh, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.052320 71, 052320 (2005).
16. K.-W. Cheng and C.-C. Tseng, e-print arXiv:quant-ph/0206028.
17. D. Hestenes, Space-Time Algebra (Gordon and Breach, New York, 1966).
18. D. Hestenes and G. Sobczyk, Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics (Reidel, Dordrecht, 1984).
19. D. Hestenes, New Foundations for Classical Mechanics (Kluwer, Dordrecht, 1986).
20. W. E. Baylis, Electrodynamics: A Modern Geometric Approach (Birkhauser, Boston, 1996).
21. Geometric Computing with Clifford Algebras, edited by, G. Sommer, (Springer, Berlin, 2001).
22. Applications of Geometric Algebra in Computer Science and Engineering, edited by, L. Dorst, C. J. L. Doran, and, J. Lasenby, (Birkhauser, Boston, 2002).
23. M. Pavsic, The Landscape of Theoretical Physics: A Global View. From Point Particles to the Brane World and Beyond,in Search of a Unifying Principle (Kluwer, Boston, 2001).
24. C. Doran and A. Lasenby, Geometric Algebra for Physicists (Cambridge University Press, Cambridge, 2003).