Erratum: Entanglement invariants and phylogenetic branching (Journal of Mathematical Biology (2005) DOI: 10.1007/s00285-004-0309-z);Entanglement invariants and phylogenetic branching

Journal of Mathematical Biology

Volumn 51, Issue 1, 2005, Pages 18-36

  Sumner, J G ^a   Jarvis, P D ^a  

^a UNIVERSITY OF TASMANIA   (Australia)

Author keywords

Entanglement; Invariants; Markov; Phylogenetics

Indexed keywords

EID: 22244452936     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-006-0010-5     Document Type: Erratum

References (25)

1. Bashford, J.D., Jarvis, P.D., Sumner, J.G., Steel, M.A.: U(1)xU(1)xU(1) symmetry of the Kimura 3ST model and phylogenetic branching processes. Journal of Physics A: Mathematical and General 37, L1-L9 (2004)
2. Bernevig, B.A., Chen, H.D.: Geometry of the three-qubit state, entanglement and division algebras. Journal of Physics A: Mathematical and General 36 (30), 8325-8339 (2003)
3. Chang, J.T.: Full reconstruction of markov models on evolutionary trees: identifiability and consistency. Math Biosci. 137 (1), 51-73 (1996)
4. Dur, W., Vidal, G., Cirac, J.I.: Three qubits can be entangled in two inequivalent ways. Physics Review A 62 (6), 062314 (2000)
5. Eriksson, N., Ranestad, K., Sturmfels, B., Sullivant, S.: Phylogenetic Algebraic Geometry. To appear in the proceedings of the conference Projective Varieties with Unexpected Properties, Siena, Italy, 2004, eprint: math.AG/0407033, 2004
6. Felsenstein, J.: Inferring Phylogenies. Sinauer Associates, 2004, pp. 196-206, 251
7. Felsenstein, J.: Evolutionary trees from DNA sequences: a maximum likelihood approach. Journal of Molecular Evolution 17, 368-376 (1981)
8. Felsenstein, J.: Counting phylogenetic invariants in some simple cases. Journal of Theoretical Biology 152, 357-376 (1991)
9. Guhne, O., Hyllus, P.: Investigating three qubit entanglement with local measurements. International Journal of Theoretical Physics 42, 1001-1013 (2003)
10. Haggstrom, O.: Finite Markov Chains and Algorithmic Applications. Cambridge, Cambridge University Press, 2002
11. Jarvis, P.D., Bashford, J.D.: Quantum field theory and phylogenetic branching. Journal of Physics A: Mathematical and General 34, L703-L707 (2001)
12. Lake, J.A.: Phylogenetic inference: how much evolutionary history is knowable? Molecular Biology and Evolution 14 (3), 213-219 (1997)
13. Linden, N., Popescu, S.: On multi-particle entanglement. Fortschritte der Physik 46, 567-578 (1998)
14. Luque, J.-G., Thibon, J.-Y.: The polynomial invariants of four qubits. Physical Review A 67, 042303 (2003)
15. Miyake, A.: Classification of multiparticle entangled states by multidimensional determinants. Physical Review A 67, 012108 (2003)
16. Nei, M., Kumar, S.: Molecular Evolution and Phylogenetics. Oxford, Oxford University Press, 2000, pp. 33-43
17. Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge, Cambridge University Press, 2000
18. Olver, P.J.: Classical Invariant Theory. Cambridge, Cambridge University Press, 2003
19. Pearl, J., Tarsi, M.: Structuring causal trees. Journal of Complexity 2, 60-77 (1986)
20. Rindos, A., Woolet, S., Viniotis, I., Trivedi, K.: Exact methods for the transient analysis of nonhomogeneous continuous time markov chains. 2nd Internation Workshop of Markov Chains. W. J. Stewar, Kluwer Academic, 1995
21. Rodriguez, F., Oliver, J.L., Marin, A., Medina, J.R.: The general stochastic model of nucleotide substitution. Journal of Theoretical Biology 142, 485-501 (1990)
22. Steel, M., Hendy, M.D., Penny, D.: Reconstructing phylogenies from nucleotide pattern probabilities: A survey and some new results. Discrete Applied Mathematics 88, 367-396 (1998)
23. Semple, C., Steel, M.: Phylogenetics. Oxford, Oxford Press, 2003, pp. 183-215
24. Verstraete, F., Dehaene, J., Moor, B.D., Verschelde, H.: Four qubits can be entangled in nine different ways. Physical Review A 65, 052112 (2002)
25. Werner, R.F., Wolf, M.M.: Bell Inequalities and entanglement. Quantum Information and Computation 1 (3), 1-25 (2001)