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Generalizations of Pauli matrices (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Generalizations of Pauli matrices" in English language version.

refsWebsite
Global rank English rank
11doi.org
2nd place
2nd place
8harvard.edu
18th place
17th place
5arxiv.org
69th place
59th place
5semanticscholar.org
11th place
8th place
3worldcat.org
5th place
5th place
1umich.edu
459th place
360th place
1scitation.org
4,352nd place
3,229th place
1aps.org
1,503rd place
1,378th place

aps.org

link.aps.org

arxiv.org

  • Brown, Adam R.; Susskind, Leonard (2018-04-25). "Second law of quantum complexity". Physical Review D. 97 (8): 086015. arXiv:1701.01107. Bibcode:2018PhRvD..97h6015B. doi:10.1103/PhysRevD.97.086015. S2CID 119199949.
  • Kimura, G. (2003). "The Bloch vector for N-level systems". Physics Letters A. 314 (5–6): 339–349. arXiv:quant-ph/0301152. Bibcode:2003PhLA..314..339K. doi:10.1016/S0375-9601(03)00941-1. S2CID 119063531.
  • Bertlmann, Reinhold A.; Philipp Krammer (2008-06-13). "Bloch vectors for qudits". Journal of Physics A: Mathematical and Theoretical. 41 (23): 235303. arXiv:0806.1174. Bibcode:2008JPhA...41w5303B. doi:10.1088/1751-8113/41/23/235303. ISSN 1751-8121. S2CID 118603188.
  • Appleby, D. M. (May 2005). "Symmetric informationally complete–positive operator valued measures and the extended Clifford group". Journal of Mathematical Physics. 46 (5): 052107. arXiv:quant-ph/0412001. Bibcode:2005JMP....46e2107A. doi:10.1063/1.1896384. ISSN 0022-2488.
  • Howard, Mark; Vala, Jiri (2012-08-15). "Qudit versions of the qubit π / 8 gate". Physical Review A. 86 (2): 022316. arXiv:1206.1598. Bibcode:2012PhRvA..86b2316H. doi:10.1103/PhysRevA.86.022316. ISSN 1050-2947. S2CID 56324846.

doi.org

  • Brown, Adam R.; Susskind, Leonard (2018-04-25). "Second law of quantum complexity". Physical Review D. 97 (8): 086015. arXiv:1701.01107. Bibcode:2018PhRvD..97h6015B. doi:10.1103/PhysRevD.97.086015. S2CID 119199949.
  • Kimura, G. (2003). "The Bloch vector for N-level systems". Physics Letters A. 314 (5–6): 339–349. arXiv:quant-ph/0301152. Bibcode:2003PhLA..314..339K. doi:10.1016/S0375-9601(03)00941-1. S2CID 119063531.
  • Bertlmann, Reinhold A.; Philipp Krammer (2008-06-13). "Bloch vectors for qudits". Journal of Physics A: Mathematical and Theoretical. 41 (23): 235303. arXiv:0806.1174. Bibcode:2008JPhA...41w5303B. doi:10.1088/1751-8113/41/23/235303. ISSN 1751-8121. S2CID 118603188.
  • Appleby, D. M. (May 2005). "Symmetric informationally complete–positive operator valued measures and the extended Clifford group". Journal of Mathematical Physics. 46 (5): 052107. arXiv:quant-ph/0412001. Bibcode:2005JMP....46e2107A. doi:10.1063/1.1896384. ISSN 0022-2488.
  • Howard, Mark; Vala, Jiri (2012-08-15). "Qudit versions of the qubit π / 8 gate". Physical Review A. 86 (2): 022316. arXiv:1206.1598. Bibcode:2012PhRvA..86b2316H. doi:10.1103/PhysRevA.86.022316. ISSN 1050-2947. S2CID 56324846.
  • Weyl, H., "Quantenmechanik und Gruppentheorie", Zeitschrift für Physik, 46 (1927) pp. 1–46, doi:10.1007/BF02055756.
  • Santhanam, T. S.; Tekumalla, A. R. (1976). "Quantum mechanics in finite dimensions". Foundations of Physics. 6 (5): 583. Bibcode:1976FoPh....6..583S. doi:10.1007/BF00715110. S2CID 119936801.
  • For a serviceable review, see Vourdas A. (2004), "Quantum systems with finite Hilbert space", Rep. Prog. Phys. 67 267. doi:10.1088/0034-4885/67/3/R03.
  • Sylvester, J.J. (1867). "Thoughts on inverse orthogonal matrices, simultaneous sign-successions, and tessellated pavements in two or more colours, with applications to Newton's rule, ornamental tile-work, and the theory of numbers". The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science. 34 (232): 461–475. doi:10.1080/14786446708639914.
  • Patera, J.; Zassenhaus, H. (1988). "The Pauli matrices in n dimensions and finest gradings of simple Lie algebras of type An−1". Journal of Mathematical Physics. 29 (3): 665. Bibcode:1988JMP....29..665P. doi:10.1063/1.528006.
  • Fairlie, D. B.; Fletcher, P.; Zachos, C. K. (1990). "Infinite-dimensional algebras and a trigonometric basis for the classical Lie algebras". Journal of Mathematical Physics. 31 (5): 1088. Bibcode:1990JMP....31.1088F. doi:10.1063/1.528788.

harvard.edu

ui.adsabs.harvard.edu

  • Brown, Adam R.; Susskind, Leonard (2018-04-25). "Second law of quantum complexity". Physical Review D. 97 (8): 086015. arXiv:1701.01107. Bibcode:2018PhRvD..97h6015B. doi:10.1103/PhysRevD.97.086015. S2CID 119199949.
  • Kimura, G. (2003). "The Bloch vector for N-level systems". Physics Letters A. 314 (5–6): 339–349. arXiv:quant-ph/0301152. Bibcode:2003PhLA..314..339K. doi:10.1016/S0375-9601(03)00941-1. S2CID 119063531.
  • Bertlmann, Reinhold A.; Philipp Krammer (2008-06-13). "Bloch vectors for qudits". Journal of Physics A: Mathematical and Theoretical. 41 (23): 235303. arXiv:0806.1174. Bibcode:2008JPhA...41w5303B. doi:10.1088/1751-8113/41/23/235303. ISSN 1751-8121. S2CID 118603188.
  • Appleby, D. M. (May 2005). "Symmetric informationally complete–positive operator valued measures and the extended Clifford group". Journal of Mathematical Physics. 46 (5): 052107. arXiv:quant-ph/0412001. Bibcode:2005JMP....46e2107A. doi:10.1063/1.1896384. ISSN 0022-2488.
  • Howard, Mark; Vala, Jiri (2012-08-15). "Qudit versions of the qubit π / 8 gate". Physical Review A. 86 (2): 022316. arXiv:1206.1598. Bibcode:2012PhRvA..86b2316H. doi:10.1103/PhysRevA.86.022316. ISSN 1050-2947. S2CID 56324846.
  • Santhanam, T. S.; Tekumalla, A. R. (1976). "Quantum mechanics in finite dimensions". Foundations of Physics. 6 (5): 583. Bibcode:1976FoPh....6..583S. doi:10.1007/BF00715110. S2CID 119936801.
  • Patera, J.; Zassenhaus, H. (1988). "The Pauli matrices in n dimensions and finest gradings of simple Lie algebras of type An−1". Journal of Mathematical Physics. 29 (3): 665. Bibcode:1988JMP....29..665P. doi:10.1063/1.528006.
  • Fairlie, D. B.; Fletcher, P.; Zachos, C. K. (1990). "Infinite-dimensional algebras and a trigonometric basis for the classical Lie algebras". Journal of Mathematical Physics. 31 (5): 1088. Bibcode:1990JMP....31.1088F. doi:10.1063/1.528788.

scitation.org

aip.scitation.org

semanticscholar.org

api.semanticscholar.org

  • Brown, Adam R.; Susskind, Leonard (2018-04-25). "Second law of quantum complexity". Physical Review D. 97 (8): 086015. arXiv:1701.01107. Bibcode:2018PhRvD..97h6015B. doi:10.1103/PhysRevD.97.086015. S2CID 119199949.
  • Kimura, G. (2003). "The Bloch vector for N-level systems". Physics Letters A. 314 (5–6): 339–349. arXiv:quant-ph/0301152. Bibcode:2003PhLA..314..339K. doi:10.1016/S0375-9601(03)00941-1. S2CID 119063531.
  • Bertlmann, Reinhold A.; Philipp Krammer (2008-06-13). "Bloch vectors for qudits". Journal of Physics A: Mathematical and Theoretical. 41 (23): 235303. arXiv:0806.1174. Bibcode:2008JPhA...41w5303B. doi:10.1088/1751-8113/41/23/235303. ISSN 1751-8121. S2CID 118603188.
  • Howard, Mark; Vala, Jiri (2012-08-15). "Qudit versions of the qubit π / 8 gate". Physical Review A. 86 (2): 022316. arXiv:1206.1598. Bibcode:2012PhRvA..86b2316H. doi:10.1103/PhysRevA.86.022316. ISSN 1050-2947. S2CID 56324846.
  • Santhanam, T. S.; Tekumalla, A. R. (1976). "Quantum mechanics in finite dimensions". Foundations of Physics. 6 (5): 583. Bibcode:1976FoPh....6..583S. doi:10.1007/BF00715110. S2CID 119936801.

umich.edu

quod.lib.umich.edu

  • Sylvester, J. J., (1882), Johns Hopkins University Circulars I: 241-242; ibid II (1883) 46; ibid III (1884) 7–9. Summarized in The Collected Mathematics Papers of James Joseph Sylvester (Cambridge University Press, 1909) v III . online and further.

worldcat.org

search.worldcat.org