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Volumn 813, Issue , 2011, Pages 95-172

Physics, topology, logic and computation: A Rosetta Stone

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EID: 79251503599     PISSN: 00758450     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-12821-9_2     Document Type: Article
Times cited : (193)

References (111)
  • 2
    • 26944485450 scopus 로고    scopus 로고
    • Abstract scalars, loops, and free traced and strongly compact closed categories
    • Lecture Notes in Computer Science 3629, Springer, Berlin, 2005. Also available at 130, 132
    • Abramsky, S.: Abstract scalars, loops, and free traced and strongly compact closed categories. In: Proceedings of CALCO 2005, Lecture Notes in Computer Science 3629, Springer, Berlin, 2005, 1-31. Also available at http://web.comlab.ox.ac.uk/ oucl/work/samson.abramsky/calco05.pdf 130, 132
    • (2005) Proceedings of CALCO , pp. 1-31
    • Abramsky, S.1
  • 5
    • 18944405125 scopus 로고    scopus 로고
    • Geometry of interaction and linear combinatory algebras
    • Also available at
    • Abramsky, S., Haghverdi, E., Scott, P.: Geometry of interaction and linear combinatory algebras, Math. Struct. Comput. Sci. 12, 625-665 (2002). Also available at http://citeseer.ist.psu.edu/491623.html
    • (2002) Math. Struct. Comput. Sci. , vol.12 , pp. 625-665
    • Abramsky, S.1    Haghverdi, E.2    Scott, P.3
  • 8
    • 51649148614 scopus 로고
    • Topological quantum field theories
    • 105
    • Atiyah, M.F.: Topological quantum field theories. Publ. Math. IHES Paris 68, 175-186 (1989). 105
    • (1989) Publ. Math. IHES Paris , vol.68 , pp. 175-186
    • Atiyah, M.F.1
  • 10
    • 0001903332 scopus 로고    scopus 로고
    • An introduction to spin foam models of quantum gravity and BF theory
    • Gausterer, H., Grosse, H. (eds.) Springer, Berlin. Also available at arXiv:gr-qc/9905087 99
    • Baez, J.: An introduction to spin foam models of quantum gravity and BF theory. In: Gausterer, H., Grosse, H. (eds.) Geometry and Quantum Physics, pp. 25-93. Springer, Berlin (2000). Also available at arXiv:gr-qc/9905087 99
    • (2000) Geometry and Quantum Physics , pp. 25-93
    • Baez, J.1
  • 11
    • 17044391847 scopus 로고    scopus 로고
    • Higher-dimensional algebra and Planck-scale physics
    • Callender, C., Huggett, N. (eds.). Cambridge University Press, Cambridge . Also available as arXiv:gr-qc/9902017 99
    • Baez, J.: Higher-dimensional algebra and Planck-scale physics. In: Callender, C., Huggett, N. (eds.) Physics Meets Philosophy at the Planck Length, pp. 177-195. Cambridge University Press, Cambridge (2001). Also available as arXiv:gr-qc/9902017 99
    • (2001) Physics Meets Philosophy at the Planck Length , pp. 177-195
    • Baez, J.1
  • 12
    • 40849149542 scopus 로고    scopus 로고
    • Quantum quandaries: A category-theoretic perspective
    • French, S., Rickles, D., Saatsi, J. (eds.). Oxford University Press, Oxford. Also available as arXiv:quant-ph/040404 099, 102, 132
    • Baez, J.: Quantum quandaries: A category-theoretic perspective. In: French, S., Rickles, D., Saatsi, J. (eds.) Structural Foundations of Quantum Gravity, pp. 240-265. Oxford University Press, Oxford (2006). Also available as arXiv:quant-ph/0404040 99, 102, 132
    • (2006) Structural Foundations of Quantum Gravity , pp. 240-265
    • Baez, J.1
  • 13
    • 79251488885 scopus 로고    scopus 로고
    • U. C. Riverside seminar notes by D. Wise. Available at http://math.ucr.edu/home/baez/ qg-winter2007 167
    • Baez, J.: Classical versus quantum computation, U. C. Riverside seminar notes by D. Wise. Available at http://math.ucr.edu/home/baez/qg-fall2006/ and http://math.ucr.edu/home/baez/ qg-winter2007 167
    • Classical Versus Quantum Computation
    • Baez, J.1
  • 14
    • 36449001406 scopus 로고
    • Higher-dimensional algebra and topological quantum field theory
    • Also available as arXiv:q-alg/9503002 99, 104, 119, 120, 132
    • Baez, J., Dolan, J.: Higher-dimensional algebra and topological quantum field theory. J. Math. Phys. 36, 6073-6105 (1995). Also available as arXiv:q-alg/9503002 99, 104, 119, 120, 132
    • (1995) J. Math. Phys. , vol.36 , pp. 6073-6105
    • Baez, J.1    Dolan, J.2
  • 15
    • 0348163837 scopus 로고    scopus 로고
    • Higher-dimensional algebra IV: 2-tangles
    • Also available as arXiv:q-alg/9703033 120, 132
    • Baez, J., Langford, L.: Higher-dimensional algebra IV: 2-tangles. Adv. Math. 180, 705-764 (2003). Also available as arXiv:q-alg/9703033 120, 132
    • (2003) Adv. Math. , vol.180 , pp. 705-764
    • Baez, J.1    Langford, L.2
  • 17
    • 0004059103 scopus 로고    scopus 로고
    • American Mathematical Society, Providence, Rhode Island,. Preliminary version available at 130
    • Bakalov, B., Kirillov, A., Jr.: Lectures on Tensor Categories and Modular Functors, American Mathematical Society, Providence, Rhode Island, 2001. Preliminary version available at http://www.math.sunysb.edu/-kirillov/tensor/ tensor.html 130, 166
    • (2001) Lectures on Tensor Categories and Modular Functors , pp. 166
    • Bakalov, B.1    Kirillov Jr., A.2
  • 19
    • 0004086833 scopus 로고
    • Springer, Berlin Revised and corrected version available at
    • Barr, M., Wells, C.: Toposes, Triples and Theories. Springer, Berlin (1983). Revised and corrected version available at http://www.cwru.edu/artsci/ math/wells/pub/ttt.html
    • (1983) Toposes, Triples and Theories
    • Barr, M.1    Wells, C.2
  • 20
    • 0000486090 scopus 로고
    • On the einstein-podolsky-rosen paradox
    • 115
    • Bell, J.S.: On the Einstein-Podolsky-Rosen paradox, Physics1, 195-200 (1964) 115
    • (1964) Physics , vol.1 , pp. 195-200
    • Bell, J.S.1
  • 22
    • 84955572477 scopus 로고
    • Linear lambda-calculus and categorical models revisited
    • Selected Papers, Lecture Notes in Computer Science 702 Springer, Berlin . Also available at 155
    • Benton, N., Bierman, G.M., de Paiva, V., Hyland, J.M.E.: Linear lambda-calculus and categorical models revisited, in Computer Science Logic (CSL'92), Selected Papers, Lecture Notes in Computer Science 702, pp. 61-84. Springer, Berlin (1992). Also available at http://citeseer.ist.psu.edu/ benton92linear.html 155
    • (1992) Computer Science Logic (CSL'92) , pp. 61-84
    • Benton, N.1    Bierman, G.M.2    De Paiva, V.3    Hyland, J.M.E.4
  • 24
    • 0004260277 scopus 로고    scopus 로고
    • PhD Thesis Cambridge University. Available at 145
    • Bierman, G.: On Intuitionistic Linear Logic, PhD Thesis, Cambridge University. Available at http://research.microsoft.com/-gmb/Papers/thesis.pdf 145
    • On Intuitionistic Linear Logic
    • Bierman, G.1
  • 25
    • 33845891800 scopus 로고    scopus 로고
    • Category theory for linear logicians
    • Ehrhard, T., Girard, J.-Y., Ruet, P., Scott, P. (eds.). Cambridge University Press, Cambridge. Also available at 145
    • Blute, R., Scott, P.: Category theory for linear logicians. In: Ehrhard, T., Girard, J.-Y., Ruet, P., Scott, P. (eds.) Linear Logic in Computer Science, pp. 3-64. Cambridge University Press, Cambridge (2004). Also available at http://www.site.uottawa.ca/-phil/ papers/catsurv. web.pdf 145
    • (2004) Linear Logic in Computer Science , pp. 3-64
    • Blute, R.1    Scott, P.2
  • 30
    • 0000954072 scopus 로고
    • An unsolvable problem of elementary number theory
    • 149
    • Church, A.: An unsolvable problem of elementary number theory. Am. J. Math. 58, 345-363 (1936) 149
    • (1936) Am. J. Math. , vol.58 , pp. 345-363
    • Church, A.1
  • 31
    • 33847297487 scopus 로고    scopus 로고
    • De-linearizing linearity: Projective quantum axiomatics from strong compact closure
    • Elsevier. Also available as arXiv:quantph/0506134 130
    • Coecke, B.: De-linearizing linearity: projective quantum axiomatics from strong compact closure. In: Proceedings of the 3rd International Workshop on Quantum Programming Languages (QPL 2005), pp. 49-72. Elsevier (2007). Also available as arXiv:quantph/0506134 130
    • (2007) Proceedings of the 3rd International Workshop on Quantum Programming Languages (QPL 2005 , pp. 49-72
    • Coecke, B.1
  • 32
    • 33845650137 scopus 로고    scopus 로고
    • Kindergarten quantum mechanics
    • Also available as arXiv:quant-ph/0510032 130
    • Coecke, B.: Kindergarten quantum mechanics. To appear in Proceedings of QTRF-III. Also available as arXiv:quant-ph/0510032 130
    • Proceedings of QTRF-III
    • Coecke, B.1
  • 34
    • 46449102111 scopus 로고    scopus 로고
    • Quantum measurements without sums
    • Chen, G., Kauffman, L., Lomonaco, S. (eds.) Taylor and Francis. Also available as arXiv:quant-ph/0608035 130
    • Coecke, B., Pavlovic, D.: Quantum measurements without sums. In: Chen, G., Kauffman, L., Lomonaco, S. (eds.) To appear in theMathematics of Quantum Computation and Technology. Taylor and Francis. Also available as arXiv:quant-ph/0608035 130
    • Mathematics of Quantum Computation and Technology
    • Coecke, B.1    Pavlovic, D.2
  • 35
    • 0004020078 scopus 로고
    • Cambridge University Press Cambridge 100, 145, 154
    • Crole, R.L.: Categories for Types. Cambridge University Press, Cambridge (1993) 100, 145, 154
    • (1993) Categories for Types
    • Crole, R.L.1
  • 36
    • 79251476636 scopus 로고
    • North-Holland, Amsterdam 97, 122, 159
    • Curry, H.B., Feys, R.: Combinatory Logic, vol. I. North-Holland, Amsterdam (1958) 97, 122, 159
    • (1958) Combinatory Logic , vol.1
    • Curry, H.B.1    Feys, R.2
  • 38
    • 0004002306 scopus 로고    scopus 로고
    • Princeton University Press Princeton Available at 130
    • Cvitanovic, P.: Group Theory. Princeton University Press, Princeton (2003). Available at http://www.nbi.dk/GroupTheory/ 130
    • (2003) Group Theory
    • Cvitanovic, P.1
  • 42
    • 84968491262 scopus 로고
    • General theory of natural equivalences
    • Eilenberg, S., Mac Lane, S.: General theory of natural equivalences. Trans. Am. Math. Soc. 58, 231-294 (1945)
    • (1945) Trans. Am. Math. Soc. , vol.58 , pp. 231-294
    • Eilenberg, S.1    Mac Lane, S.2
  • 44
    • 0035998071 scopus 로고    scopus 로고
    • Simulation of topological field theories by quantum computers
    • Also available as arXiv:quantph/0001071 167
    • Freedman, M., Kitaev, A., Wang, Z.: Simulation of topological field theories by quantum computers. Commun. Math. Phys. 227, 587-603 (2002). Also available as arXiv:quantph/0001071 167
    • (2002) Commun. Math. Phys. , vol.227 , pp. 587-603
    • Freedman, M.1    Kitaev, A.2    Wang, Z.3
  • 45
    • 0035998074 scopus 로고    scopus 로고
    • A modular functor which is universal for quantum computation
    • Also available as arXiv:quantph/0001108 167
    • Freedman, M., Kitaev, A., Wang, Z.: A modular functor which is universal for quantum computation. Commun. Math. Phys. 227, 605-622 (2002). Also available as arXiv:quantph/0001108 167
    • (2002) Commun. Math. Phys. , vol.227 , pp. 605-622
    • Freedman, M.1    Kitaev, A.2    Wang, Z.3
  • 46
    • 0001317803 scopus 로고
    • Braided compact monoidal categories with applications to low dimensional topology
    • 103, 125
    • Freyd, P., Yetter, D.: Braided compact monoidal categories with applications to low dimensional topology. Adv. Math. 77, 156-182 (1989) 103, 125
    • (1989) Adv. Math. , vol.77 , pp. 156-182
    • Freyd, P.1    Yetter, D.2
  • 47
    • 0023171371 scopus 로고
    • Linear logic
    • Also available at 97, 136, 137, 140, 145
    • Girard, J.-Y.: Linear logic. Theor. Comp. Sci. 50, 1-102 (1987). Also available at http://iml.univ-mrs.fr/ girard/linear.pdf 97, 136, 137, 140, 145
    • (1987) Theor. Comp. Sci. , vol.50 , pp. 1-102
    • Girard, J.-Y.1
  • 48
    • 0003432047 scopus 로고
    • Cambridge University Press, Cambridge Also available at 135
    • Girard, J.-Y., Lafont, Y., Taylor, P.: Proofs and Types. Cambridge University Press, Cambridge (1990). Also available at http://www.monad.me.uk/ stable/Proofs%2BTypes.html 135
    • (1990) Proofs and Types
    • Girard, J.-Y.1    Lafont, Y.2    Taylor, P.3
  • 49
    • 0001794165 scopus 로고
    • Zur intuitionistischen arithmetik und zahlentheorie
    • 133
    • Gödel, K.: Zur intuitionistischen Arithmetik und Zahlentheorie. Ergebnisse eines mathematischen Kolloquiums4, 34-38 (1933) 133
    • (1933) Ergebnisse eines mathematischen Kolloquiums , vol.4 , pp. 34-38
    • Gödel, K.1
  • 50
    • 0004093978 scopus 로고
    • North-Holland, New York Also available at 100
    • Goldblatt, R.: Topoi: The Categorial Analysis of Logic. North-Holland, New York (1984). Also available at http://cdl.library.cornell.edu/cgi-bin/cul. math/docviewer?did=Gold010 100
    • (1984) Topoi: The Categorial Analysis of Logic
    • Goldblatt, R.1
  • 51
    • 0033604507 scopus 로고    scopus 로고
    • Quantum teleportation is a universal computational primitive
    • Also available as arXiv:quant-ph/9908010 120, 128
    • Gottesman, D., Chuang, I.L.: Quantum teleportation is a universal computational primitive. Nature 402, 390-393 (1999). Also available as arXiv:quant-ph/9908010 120, 128
    • (1999) Nature , vol.402 , pp. 390-393
    • Gottesman, D.1    Chuang, I.L.2
  • 52
    • 22644451001 scopus 로고    scopus 로고
    • Logical predicates for intuitionistic linear type theories
    • Girard, J.-Y. (ed.) Lecture Notes in Computer Science 1581 Springer, Berlin. Also available at 137, 145
    • Hasegawa, M.: Logical predicates for intuitionistic linear type theories. In: Girard, J.-Y. (ed.) Typed Lambda Calculi and Applications: 4th International Conference, TLCA '99. Lecture Notes in Computer Science 1581. Springer, Berlin (1999). Also available at http://citeseer.ist.psu.edu/187161. html 137, 145
    • (1999) Typed Lambda Calculi and Applications: 4th International Conference, TLCA '99
    • Hasegawa, M.1
  • 54
    • 0030378822 scopus 로고    scopus 로고
    • Towards a proof theory of rewriting: The simply-typed 2*-calculus
    • 154
    • Hilken, B.: Towards a proof theory of rewriting: The simply-typed 2*-calculus. Theor. Comput. Sci. 170, 407-444 (1996) 154
    • (1996) Theor. Comput. Sci. , vol.170 , pp. 407-444
    • Hilken, B.1
  • 56
    • 0002386430 scopus 로고
    • Seldin, J.P., Hindley, J.R. (eds.) To Curry, H.B.: Essays on Combinatory Logic, Lambda Calculus and Formalism Academic Press, New York 97
    • Howard, W.A.: The formulae-as-types notion of constructions. In: Seldin, J.P., Hindley, J.R. (eds.) To Curry, H.B.: Essays on Combinatory Logic, Lambda Calculus and Formalism, pp. 479-490. Academic Press, New York (1980) 97
    • (1980) The Formulae-As-Types Notion of Constructions , pp. 479-490
    • Howard, W.A.1
  • 57
    • 38249024023 scopus 로고
    • Languages for monoidal categories
    • 166
    • Jay, C.B.: Languages for monoidal categories. J. Pure Appl. Alg. 59, 61-85 (1989) 166
    • (1989) J. Pure Appl. Alg. , vol.59 , pp. 61-85
    • Jay, C.B.1
  • 58
    • 38249016378 scopus 로고
    • The structure of free closed categories
    • 145
    • Jay, C.B.: The structure of free closed categories. J. Pure Appl. Alg. 66, 271-285 (1990) 145
    • (1990) J. Pure Appl. Alg. , vol.66 , pp. 271-285
    • Jay, C.B.1
  • 59
    • 44949283969 scopus 로고
    • The geometry of tensor calculus I
    • 110
    • Joyal, A., Street, R.: The geometry of tensor calculus I. Adv. Math. 88, 55-113 (1991) 110
    • (1991) Adv. Math. , vol.88 , pp. 55-113
    • Joyal, A.1    Street, R.2
  • 61
    • 0004159932 scopus 로고
    • Braided monoidal categories
    • Available at 118
    • Joyal, A., Street, R.: Braided monoidal categories, Macquarie Math Reports 860081 (1986). Available at http://rutherglen.ics.mq.edu.au/-street/ JS86.pdf 118
    • (1986) Macquarie Math Reports 860081
    • Joyal, A.1    Street, R.2
  • 62
    • 43949173985 scopus 로고
    • Braided tensor categories
    • 118
    • Joyal, A., Street, R.: Braided tensor categories. Adv. Math.102, 20-78 (1993) 118
    • (1993) Adv. Math. , vol.102 , pp. 20-78
    • Joyal, A.1    Street, R.2
  • 64
    • 0003704279 scopus 로고
    • Springer Berlin 103, 130
    • Kassel, C.: Quantum Groups. Springer, Berlin (1995) 103, 130
    • (1995) Quantum Groups
    • Kassel, C.1
  • 65
  • 67
    • 0001989622 scopus 로고
    • Coherence in closed categories
    • 219, 145
    • Kelly, G.M., Mac Lane, S.: Coherence in closed categories. J. Pure Appl. Alg. 1, 97-140, 219 (1971) 145
    • (1971) J. Pure Appl. Alg. , vol.1 , pp. 97-140
    • Kelly, G.M.1    Mac Lane, S.2
  • 68
    • 0000389615 scopus 로고
    • Coherence for compact closed categories
    • 145
    • Kelly, G.M., Laplaza, M.L.: Coherence for compact closed categories. J. Pure Appl. Alg.19, 193-213 (1980) 145
    • (1980) J. Pure Appl. Alg. , vol.19 , pp. 193-213
    • Kelly, G.M.1    Laplaza, M.L.2
  • 69
    • 0011261326 scopus 로고
    • *-definability and recursiveness
    • 149
    • Kleene, S.: *-definability and recursiveness. Duke Math. J. 2, 340-353 (1936) 149
    • (1936) Duke Math. J. , vol.2 , pp. 340-353
    • Kleene, S.1
  • 72
    • 0011438505 scopus 로고
    • Seldin, J.P., Hindley, J.R. (eds.) To Curry, H.B.: Essays on Combinatory Logic, Lambda Calculus and Formalism Academic Press, New York 154
    • Lambek, J.: From *-calculus to cartesian closed categories. In: Seldin, J.P., Hindley, J.R. (eds.) To Curry, H.B.: Essays on Combinatory Logic, Lambda Calculus and Formalism, pp. 375-402. Academic Press, New York (1980) 154
    • (1980) From *-Calculus to Cartesian Closed Categories , pp. 375-402
    • Lambek, J.1
  • 74
    • 84943347337 scopus 로고
    • A correspondence between ALGOL 60 and Church's lambda-notation
    • 158-165, 152
    • Landin, P.: A correspondence between ALGOL 60 and Church's lambda-notation. Commun. ACM 8, 89-101, 158-165 (1965) 152
    • (1965) Commun ACM , vol.8 , pp. 89-101
    • Landin, P.1
  • 75
    • 0004165167 scopus 로고
    • Ph.D Dissertation, Columbia University Also available at 105, 145
    • Lawvere, F.W.: Functorial Semantics of Algebraic Theories, Ph.D. Dissertation, Columbia University (1963). Also available at http://www.tac.mta. ca/tac/reprints/articles/5/tr5abs.html 105, 145
    • (1963) Functorial Semantics of Algebraic Theories
    • Lawvere, F.W.1
  • 76
    • 0242474745 scopus 로고    scopus 로고
    • A survey of definitions of n-category
    • Also available as arXiv:math/0107188
    • Leinster, T.: A survey of definitions of n-category. Theor. Appl. Cat. 10, 1-70 (2002). Also available as arXiv:math/0107188
    • (2002) Theor. Appl. Cat. , vol.10 , pp. 1-70
    • Leinster, T.1
  • 77
    • 0003146836 scopus 로고
    • Natural associativity and commutativity
    • 106, 109, 119, 147
    • Mac Lane, S.: Natural associativity and commutativity. Rice Univ. Stud. 49 28-46 (1963) 106, 109, 119, 147
    • (1963) Rice Univ. Stud. , vol.49 , pp. 28-46
    • Mac Lane, S.1
  • 79
    • 37149039226 scopus 로고    scopus 로고
    • Axiomatic rewriting theory I: A diagrammatic standardisation theorem
    • Springer, New York. Also available at 154
    • Melliès, P.: Axiomatic rewriting theory I: A diagrammatic standardisation theorem. In: Processes, Terms and Cycles: Steps on the Road to Infinity, Lecture Notes in Computer Science 3838, pp. 554-638. Springer, New York (2005). Also available at http://www.pps.jussieu.fr/ mellies/papers/ jwkfestschrift.pdf 154
    • (2005) Processes, Terms and Cycles: Steps on the Road to Infinity, Lecture Notes in Computer Science 3838 , pp. 554-638
    • Melliès, P.1
  • 80
    • 84936896337 scopus 로고
    • Recursive functions of symbolic expressions and their computation by machine Part I
    • Also available at 152
    • McCarthy, J.: Recursive functions of symbolic expressions and their computation by machine, Part I. Comm. ACM 4, 184-195 (1960). Also available at http://wwwformal.stanford.edu/jmc/recursive.html 152
    • (1960) Comm ACM , vol.4 , pp. 184-195
    • McCarthy, J.1
  • 82
    • 1842460762 scopus 로고
    • Nonabelions in the fractional quantum Hall effect
    • 167
    • Moore, G., Read, N.: Nonabelions in the fractional quantum Hall effect. Nucl. Phys. B 360, 362-396 (1991) 167
    • (1991) Nucl. Phys. B , vol.360 , pp. 362-396
    • Moore, G.1    Read, N.2
  • 84
    • 0002099583 scopus 로고
    • Applications of negative dimensional tensors
    • Welsh, D. (ed.) Academic Press, New York 96
    • Penrose, R.: Applications of negative dimensional tensors. In:Welsh, D. (ed.) Combinatorial Mathematics and Its Applications, pp. 221-244. Academic Press, New York (1971) 96
    • (1971) Combinatorial Mathematics and Its Applications , pp. 221-244
    • Penrose, R.1
  • 85
    • 0002414354 scopus 로고
    • Angular momentum: An approach to combinatorial space-time
    • Bastin, T. (ed.). Cambridge University Press, Cambridge 96
    • Penrose, R.: Angular momentum: An approach to combinatorial space-time. In: Bastin, T. (ed.) Quantum Theory and Beyond, pp. 151-180. Cambridge University Press, Cambridge (1971) 96
    • (1971) Quantum Theory and Beyond , pp. 151-180
    • Penrose, R.1
  • 86
    • 0040566138 scopus 로고
    • On the nature of quantum geometry
    • Klauder J. (ed.) Freeman, San Francisco 96
    • Penrose, R.: On the nature of quantum geometry. In: Klauder J. (ed.) Magic Without Magic, pp. 333-354. Freeman, San Francisco (1972) 96
    • (1972) Magic Without Magic , pp. 333-354
    • Penrose, R.1
  • 87
    • 0039035918 scopus 로고
    • Combinatorial quantum theory and quantized directions
    • Hughston, L., Ward, R. (eds.) 96
    • Penrose, R.: Combinatorial quantum theory and quantized directions. In: Hughston, L., Ward, R. (eds.) Advances in Twistor Theory, Pitman Advanced Publishing Program, pp. 301-317 (1979) 96
    • (1979) Advances in Twistor Theory, Pitman Advanced Publishing Program , pp. 301-317
    • Penrose, R.1
  • 89
    • 69049108576 scopus 로고    scopus 로고
    • Some aspects of categories in computer science
    • Hazewinkel,M. (ed.) Elsevier, Amsterdam. Also available at 154
    • Scott, P.: Some aspects of categories in computer science. In: Hazewinkel,M. (ed.) Handbook of Algebra, vol. 2, Elsevier, Amsterdam (2000). Also available at http://www.site.uottawa.ca/ phil/papers/handbook.ps 154
    • (2000) Handbook of Algebra , vol.2
    • Scott, P.1
  • 90
    • 0030489696 scopus 로고    scopus 로고
    • Links quantum groups and TQFTs
    • Also available as arXiv:q-alg/9506002 102, 103
    • Sawin, S.: Links, quantum groups and TQFTs. Bull. Am. Math. Soc.33, 413-445 (1996). Also available as arXiv:q-alg/9506002 102, 103
    • (1996) Bull. Am. Math. Soc. , vol.33 , pp. 413-445
    • Sawin, S.1
  • 92
    • 0001007710 scopus 로고
    • Über die Bausteine der mathematischen Logik
    • Also available as On the building blocks of mathematical logic. Trans. Bauer-Mengelberg S.: In: van Heijenoort, J. (ed.) A Source Book in Mathematical Logic 1879-1931 355-366. Harvard University Press, Cambridge, Massachusetts 1967 159
    • Schönfinkel, M.: Über die Bausteine der mathematischen Logik. Math. Ann. 92, 305-316 (1924). Also available as On the building blocks of mathematical logic. Trans. Bauer-Mengelberg, S.: In: van Heijenoort, J. (ed.) A Source Book in Mathematical Logic, 1879-1931, pp. 355-366. Harvard University Press, Cambridge, Massachusetts (1967) 159
    • (1924) Math. Ann. , vol.92 , pp. 305-316
    • Schönfinkel, M.1
  • 93
    • 78650267956 scopus 로고    scopus 로고
    • Weak adjointness in proof theory
    • Springer, Berlin. Also available at 143, 154
    • Seely, R.A.G.: Weak adjointness in proof theory, Applications of Sheaves, Lecture Notes in Mathematics 753, pp. 697-701. Springer, Berlin. Also available at http://www.math.mcgill. ca/rags/WkAdj/adj.pdf 143, 154
    • Applications of Sheaves, Lecture Notes in Mathematics 753 , pp. 697-701
    • Seely, R.A.G.1
  • 94
    • 0023170493 scopus 로고
    • Modeling computations: A 2-categorical framework
    • Computer Society of the IEEE. Also available at 143, 154
    • Seely, R.A.G.: Modeling computations: A 2-categorical framework. In: Proceedings of the Symposium Logic Computer Science 1987, Computer Society of the IEEE, pp. 65-71. Also available at http://www.math.mcgill.ca/rags/WkAdj/ LICS.pdf 143, 154
    • (1987) Proceedings of the Symposium Logic Computer Science , pp. 65-71
    • Seely, R.A.G.1
  • 97
    • 33847321487 scopus 로고    scopus 로고
    • Dagger compact closed categories and completely positive maps
    • Elsevier, Amsterdam. Also available at 132
    • Selinger, P.: Dagger compact closed categories and completely positive maps. In: Proceedings of the 3rd International Workshop on Quantum Programming Languages (QPL 2005), pp. 139-163. Elsevier, Amsterdam (2007). Also available at http://www.mscs.dal.ca/-selinger/papers/#dagger 132
    • (2007) Proceedings of the 3rd International Workshop on Quantum Programming Languages (QPL 2005 , pp. 139-163
    • Selinger, P.1
  • 98
    • 33750713661 scopus 로고    scopus 로고
    • A lambda calculus for quantum computation with classical control
    • Also available at 155
    • Selinger, P., Valiron, B.: A lambda calculus for quantum computation with classical control. Math. Struct. Comp. Sci. 13, 527-552 (2006). Also available at http://www.mathstat.dal.ca/-selinger/papers/#qlambda 155
    • (2006) Math. Struct. Comp. Sci. , vol.13 , pp. 527-552
    • Selinger, P.1    Valiron, B.2
  • 99
    • 38149146658 scopus 로고
    • Tortile tensor categories
    • 103, 104
    • Shum, M.-C.: Tortile tensor categories. J. Pure Appl. Alg. 93, 57-110 (1994) 103, 104
    • (1994) J. Pure Appl. Alg. , vol.93 , pp. 57-110
    • Shum, M.-C.1
  • 101
    • 79251489872 scopus 로고    scopus 로고
    • The future of spin networks
    • Hugget, S., Tod, P., Mason, L.J. (eds.) Oxford University Press, Oxford. Also available as arXiv:gr-qc/9702030 130
    • Smolin, L.: The future of spin networks. In: Hugget, S., Tod, P., Mason, L.J. (eds.) The Geometric Universe: Science, Geometry, and the Work of Roger Penrose. Oxford University Press, Oxford (1998). Also available as arXiv:gr-qc/9702030 130
    • (1998) The Geometric Universe: Science, Geometry, and the Work of Roger Penrose
    • Smolin, L.1
  • 102
    • 37349048977 scopus 로고    scopus 로고
    • Anyons and the quantum hall effect -A pedagogical review
    • Available as arXiv:0711.4697 166
    • Stern, A.: Anyons and the quantum Hall effect -A pedagogical review. Ann. Phys. 323, 204-249 (2008). Available as arXiv:0711.4697 166
    • (2008) Ann. Phys. , vol.323 , pp. 204-249
    • Stern, A.1
  • 103
    • 0003699348 scopus 로고
    • World Scientific, Singapore 166
    • Stone, M. (ed.): Quantum Hall Effect. World Scientific, Singapore (1992) 166
    • (1992) Quantum Hall Effect
    • Stone, M.1
  • 108
    • 8344245281 scopus 로고    scopus 로고
    • A lambda calculus for quantum computation
    • Also available as arXiv:quant-ph/0307150 155
    • van Tonder, A.: A lambda calculus for quantum computation. SIAM J. Comput. 33, 1109-1135 (2004). Also available as arXiv:quant-ph/0307150 155
    • (2004) SIAM J. Comput. , vol.33 , pp. 1109-1135
    • Van Tonder, A.1
  • 109
    • 14644388676 scopus 로고
    • Quantum field theory and the Jones polynomial
    • 166
    • Witten, E.: Quantum field theory and the Jones polynomial. Commun. Math. Phys. 121, 351-399 (1989) 166
    • (1989) Commun. Math. Phys. , vol.121 , pp. 351-399
    • Witten, E.1
  • 110
    • 33746708860 scopus 로고
    • A single quantum cannot be cloned
    • 115, 155
    • Wootters, W.K., Zurek, W.H.: A single quantum cannot be cloned. Nature 299, 802-803 (1982) 115, 155
    • (1982) Nature , vol.299 , pp. 802-803
    • Wootters, W.K.1    Zurek, W.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.