Invariant polynomial functions on k qudits

Mathematics of Quantum Computation

Volumn , Issue , 2002, Pages 277-286

  Brylinski, Jean Luc ^a   Brylinski, Ranee ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS;

ASYMPTOTIC BEHAVIORS; IN-DEGREE; INVARIANT POLYNOMIALS; NATURAL GENERALIZATION; POLYNOMIAL FUNCTIONS; SYMMETRIC GROUPS;

POLYNOMIALS;

EID: 27844435176     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (9)

1. J-L. Brylinski, Algebraic measures of entanglement, In Chapter 1 of this book.
2. V. Coffman, J. Kundu and W. K. Wootters, Distributed entanglement, preprint quant-ph/9907047.
3. I.M. Gelfand, M. Kapranov and A. Zelevinsky, Discriminants, Resultants and Multidimensional Determinants, Birkhäuser, Boston (1991).
4. M.Grassl, M.Rötteler and T. Beth, Computing local invariants of quantum-bit systems, Phys. Rev. A, 58 no. 3 (1998), 1833–1839; also on the Arxiv as quant-ph/9712040.
5. M. Grassl, M. Rötteler and T. Beth, Description of multiparticle entanglement through polynomial invariants, Talk of M. Grassl at the Isaac Newton Institute for Mathematical Sciences in July 1999, available on the web as http://iaks-www.ira.uka.de/home/grassl/publications.html
6. N. Linden and S. Popescu, On multi-particle entanglement, Forts. der Physik, 46 (1998), no. 4–5, 567–578, also on the Arxiv as quant-ph/9711016.
7. D. Meyer and N. Wallach, Global entanglement in multiparticle systems, preprint quant-ph/0108104.
8. D. Meyer and N. Wallach, Invariants for multiple qudits: the case of 3 qudits. In Chapter 3 of this book.
9. E. Rains, Polynomial invariants of quantum codes, IEEE Trans. on Information Th., 46 no. 1 (2000), 54–59.