-
1
-
-
0030496076
-
Two-dimensional topological quantum field theories and Frobenius algebras
-
Abrams L.: Two-dimensional topological quantum field theories and Frobenius algebras. J. Knot Theory and Ram. 5, 569-587 (1996).
-
(1996)
J. Knot Theory and Ram.
, vol.5
, pp. 569-587
-
-
Abrams, L.1
-
2
-
-
4544315795
-
A categorical semantics of quantum protocols
-
Washington, DC. IEEE Computer Science Press, 2004
-
Abramsky, S., Coecke, B.: A categorical semantics of quantum protocols. In: Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science, Washington, DC. IEEE Computer Science Press, 2004, pp. 415-425.
-
Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science
, pp. 415-425
-
-
Abramsky, S.1
Coecke, B.2
-
4
-
-
77955780622
-
Handbook of Quantum Logic and Quantum Structures
-
Maryland Heights, MO: Elsevier
-
Abramsky, S., Coecke, B.: Handbook of Quantum Logic and Quantum Structures. Volume 2, Chapter Categorical Quantum Mechanics. Maryland Heights, MO: Elsevier, 2008.
-
(2008)
Chapter Categorical Quantum Mechanics
, vol.2
-
-
Abramsky, S.1
Coecke, B.2
-
6
-
-
0031562874
-
Higher-dimensional algebra II: 2-Hilbert spaces
-
Baez J. C.: Higher-dimensional algebra II: 2-Hilbert spaces. Adv. Math. 127, 125-189 (1997).
-
(1997)
Adv. Math.
, vol.127
, pp. 125-189
-
-
Baez, J.C.1
-
8
-
-
0013406573
-
Lectures on Tensor Categories and Modular Functors
-
Bakalov B., Kirillov A.: Lectures on Tensor Categories and Modular Functors. Amer. Math. Soc., Providence, RI (2001).
-
(2001)
Amer. Math. Soc.
-
-
Bakalov, B.1
Kirillov, A.2
-
12
-
-
84867147427
-
-
Technical Report, RR-08-03, Oxford Univ. Computing Lab
-
Coecke, B., Pavlovic, D., Vicary, J.: Dagger-Frobenius algebras in FdHilb are orthogonal bases. Technical Report, RR-08-03, Oxford Univ. Computing Lab., 2008.
-
(2008)
Dagger-Frobenius algebras in FdHilb are orthogonal bases
-
-
Coecke, B.1
Pavlovic, D.2
Vicary, J.3
-
14
-
-
0000117786
-
A new duality theory for compact groups
-
Doplicher S., Roberts J. E.: A new duality theory for compact groups. Invent. Math. 98, 157-218 (1989).
-
(1989)
Invent. Math.
, vol.98
, pp. 157-218
-
-
Doplicher, S.1
Roberts, J.E.2
-
16
-
-
21344482750
-
Lattice topological field theory in two dimensions
-
Fukuma M., Hosono S., Kawai H.: Lattice topological field theory in two dimensions. Commun. Math. Phys. 161(1), 157-175 (1994).
-
(1994)
Commun. Math. Phys.
, vol.161
, Issue.1
, pp. 157-175
-
-
Fukuma, M.1
Hosono, S.2
Kawai, H.3
-
18
-
-
44949283969
-
The geometry of tensor calculus I
-
Joyal A., Street R.: The geometry of tensor calculus I. Adv. in Math. 88, 55-112 (1991).
-
(1991)
Adv. In Math.
, vol.88
, pp. 55-112
-
-
Joyal, A.1
Street, R.2
-
19
-
-
0003356644
-
Quantum Groups
-
Berlin-Heidelberg- NewYork: Springer-Verlag
-
Kassel, C.: Quantum Groups. Volume 155 of Graduate Texts in Mathematics. Berlin-Heidelberg- NewYork: Springer-Verlag, 1995.
-
(1995)
Graduate Texts in Mathematics
, vol.155
-
-
Kassel, C.1
-
21
-
-
36849091314
-
State sum construction of two-dimensional open-closed topological quantum field theories
-
Lauda A. D., Pfeiffer H.: State sum construction of two-dimensional open-closed topological quantum field theories. J. Knot Theory and Ram. 16, 1121-1163 (2007).
-
(2007)
J. Knot Theory and Ram.
, vol.16
, pp. 1121-1163
-
-
Lauda, A.D.1
Pfeiffer, H.2
-
22
-
-
39549109499
-
Open-closed strings: Two-dimensional extended TQFTs and Frobenius algebras
-
Lauda A. D., Pfeiffer H.: Open-closed strings: Two-dimensional extended TQFTs and Frobenius algebras. Topology and Appl. 155(7), 623-666 (2008).
-
(2008)
Topology and Appl.
, vol.155
, Issue.7
, pp. 623-666
-
-
Lauda, A.D.1
Pfeiffer, H.2
-
23
-
-
0001164991
-
A theory of dimension
-
Longo R., Roberts J. E.: A theory of dimension. K-Theory 11, 103-159 (1997).
-
(1997)
K-Theory
, vol.11
, pp. 103-159
-
-
Longo, R.1
Roberts, J.E.2
-
27
-
-
0037400955
-
From subfactors to categories and topology I. Frobenius algebras in and morita equivalence of tensor categories
-
Müger M.: From subfactors to categories and topology I. Frobenius algebras in and morita equivalence of tensor categories. J. Pure and Appl. Alg. 180, 81-157 (2003).
-
(2003)
J. Pure and Appl. Alg.
, vol.180
, pp. 81-157
-
-
Müger, M.1
-
29
-
-
0001218340
-
-
Quinn, F.: Geometry and Quantum Field Theory (Park City, UT, 1991), Chapter Lectures on Axiomatic Topological Quantum Field Theory, Providence, RI: Amer. Math. Soc., 1995, pp. 323-453.
-
(1995)
Geometry and Quantum Field Theory (Park City, UT, 1991), Chapter Lectures on Axiomatic Topological Quantum Field Theory, Providence, RI: Amer. Math. Soc.
, pp. 323-453
-
-
Quinn, F.1
-
31
-
-
9944254586
-
Frobenius monads and pseudomonoids
-
Street R.: Frobenius monads and pseudomonoids. J. Math. Phys. 45, 3930-3948 (2004).
-
(2004)
J. Math. Phys.
, vol.45
, pp. 3930-3948
-
-
Street, R.1
-
32
-
-
0003252570
-
Quantum Invariants of Knots and 3-Manifolds
-
Berlin: Walter de Gruyter
-
Turaev, V.: Quantum Invariants of Knots and 3-Manifolds, Volume 18 of de Gruyter Studies in Mathematics. Berlin: Walter de Gruyter, 1994.
-
(1994)
De Gruyter Studies in Mathematics
, vol.18
-
-
Turaev, V.1
-
33
-
-
79955783478
-
Completeness of dagger-categories and the complex numbers
-
To appear
-
Vicary, J.: Completeness of dagger-categories and the complex numbers. J. Math. Phys., 2010. To appear.
-
(2010)
J. Math. Phys.
-
-
Vicary, J.1
-
34
-
-
33846423843
-
2-C*-categories with non-simple units
-
Zito P.: 2-C*-categories with non-simple units. Adv. in Math. 210, 122-164 (2007).
-
(2007)
Adv. In Math.
, vol.210
, pp. 122-164
-
-
Zito, P.1
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