Categorical quantum mechanics (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Categorical quantum mechanics" in English language version.

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22arxiv.org

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10semanticscholar.org

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6harvard.edu

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4psu.edu

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3books.google.com

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arxiv.org

Abramsky, Samson; Coecke, Bob (2004). "A categorical semantics of quantum protocols". Proceedings of the 19th IEEE conference on Logic in Computer Science (LiCS'04). IEEE. arXiv:quant-ph/0402130.
Coecke, B.; Pavlovic, D. (2007). "16. Quantum measurements without sums §16.2 Categorial Semantics". Mathematics of Quantum Computing and Technology. Taylor and Francis. pp. 567–604. arXiv:quant-ph/0608035. ISBN 9781584889007.
Coecke, B.; Perdrix, S. (2012). "Environment and classical channels in categorical quantum mechanics". Proceedings of the 19th EACSL Annual Conference on Computer Science Logic (CSL). Lecture Notes in Computer Science. Vol. 6247. Springer. arXiv:1004.1598. doi:10.2168/LMCS-8(4:14)2012. S2CID 16833406.
Coecke, B.; Duncan, R. (2011). "Interacting quantum observables". Proceedings of the 35th International Colloquium on Automata, Languages and Programming (ICALP). Lecture Notes in Computer Science. Vol. 5126. pp. 298–310. arXiv:0906.4725. doi:10.1088/1367-2630/13/4/043016. S2CID 14259278.
Coecke, B. (2010). "Quantum picturalism". Contemporary Physics. 51 (1): 59–83. arXiv:0908.1787. Bibcode:2010ConPh..51...59C. doi:10.1080/00107510903257624. S2CID 752173.
Backens, Miriam (2014). "The ZX-calculus is complete for stabilizer quantum mechanics". New Journal of Physics. 16 (9): 093021. arXiv:1307.7025. Bibcode:2014NJPh...16i3021B. doi:10.1088/1367-2630/16/9/093021. ISSN 1367-2630. S2CID 27558474.
Jeandel, Emmanuel; Perdrix, Simon; Vilmart, Renaud (2017-05-31). "A Complete Axiomatisation of the ZX-Calculus for Clifford+T Quantum Mechanics". arXiv:1705.11151 [quant-ph].
Baez, J.C. (2004). "Quantum quandaries: a category-theoretic perspective". In Rickles, D.; French, S. (eds.). The Structural Foundations of Quantum Gravity. Oxford University Press. pp. 240–266. arXiv:quant-ph/0404040. ISBN 978-0-19-926969-3.
Coecke, B.; Pavlovic, D.; Vicary, J. (2013). "A new description of orthogonal bases". Mathematical Structures in Computer Science. 23 (3): 555–567. arXiv:0810.0812. CiteSeerX 10.1.1.244.6490. doi:10.1017/S0960129512000047. S2CID 12608889.
Abramsky, S.; Heunen, C. (2010). "H*-algebras and nonunital Frobenius algebras: first steps in infinite-dimensional categorical quantum mechanics". Clifford Lectures, AMS Proceedings of Symposia in Applied Mathematics. arXiv:1011.6123. to appear (2010).
Vicary, J. (2011). "Completeness of dagger-categories and the complex numbers". Journal of Mathematical Physics. 52 (8): 082104. arXiv:0807.2927. Bibcode:2011JMP....52h2104V. doi:10.1063/1.3549117. S2CID 115154127.
Heunen, C. (2008). "An embedding theorem for Hilbert categories". Theory and Applications of Categories. 22: 321–344. arXiv:0811.1448.
Heunen, C.; Kornell, A. (2022). "Axioms for the category of Hilbert spaces". Proceedings of the National Academy of Sciences. 119 (9): e2117024119. arXiv:2109.07418. Bibcode:2022PNAS..11917024H. doi:10.1073/pnas.2117024119. PMC 8892366. PMID 35217613.
Pavlovic, D. (2009). "Quantum and classical structures in nondeterminstic computation". Quantum Interaction. QI 2009. Lecture Notes in Computer Science. Vol. 5494. Springer. pp. 143–157. arXiv:0812.2266. doi:10.1007/978-3-642-00834-4_13. ISBN 978-3-642-00834-4. S2CID 11615031.(2009).
Evans, J.; Duncan, R.; Lang, A.; Panangaden, P. (2009). "Classifying all mutually unbiased bases in Rel". arXiv:0909.4453 [quant-ph].
Coecke, B.; Kissinger, A. (2010). "The compositional structure of multipartite quantum entanglement". Proceedings of the 37th International Colloquium on Automata, Languages and Programming (ICALP). Lecture Notes in Computer Science. Vol. 6199. Springer. pp. 297–308. arXiv:1002.2540.
Heunen, C.; Jacobs, B. (2009). "Quantum logic in dagger kernel categories". Order. 27 (2): 177–212. arXiv:0902.2355. doi:10.1007/s11083-010-9145-5. S2CID 2760251.
Coecke, B.; Edwards, B.; Spekkens, R.W. (2011). "Phase groups and the origin of non-locality for qubits". Electronic Notes in Theoretical Computer Science. 270 (2): 15–36. arXiv:1003.5005. doi:10.1016/j.entcs.2011.01.021. S2CID 27998267., to appear (2010).
Coecke, Bob; Sadrzadeh, Mehrnoosh; Clark, Stephen (2010-03-23). "Mathematical Foundations for a Compositional Distributional Model of Meaning". arXiv:1003.4394 [cs.CL].
Sadrzadeh, Mehrnoosh; Clark, Stephen; Coecke, Bob (2013-12-01). "The Frobenius anatomy of word meanings I: subject and object relative pronouns". Journal of Logic and Computation. 23 (6): 1293–1317. arXiv:1404.5278. doi:10.1093/logcom/ext044. ISSN 0955-792X.
Sadrzadeh, Mehrnoosh; Clark, Stephen; Coecke, Bob (2016). "The Frobenius anatomy of word meanings II: possessive relative pronouns". Journal of Logic and Computation. 26 (2): 785–815. arXiv:1406.4690. doi:10.1093/logcom/exu027.
Coecke, Bob; de Felice, Giovanni; Meichanetzidis, Konstantinos; Toumi, Alexis (2020-12-07). "Foundations for Near-Term Quantum Natural Language Processing". arXiv:2012.03755 [quant-ph].

books.google.com

Coecke, B.; Pavlovic, D. (2007). "16. Quantum measurements without sums §16.2 Categorial Semantics". Mathematics of Quantum Computing and Technology. Taylor and Francis. pp. 567–604. arXiv:quant-ph/0608035. ISBN 9781584889007.
Coecke, B.; Kissinger, A. (2017). Picturing Quantum Processes. Cambridge University Press. Bibcode:2017pqp..book.....C. ISBN 978-1-107-10422-8.
Baez, J.C. (2004). "Quantum quandaries: a category-theoretic perspective". In Rickles, D.; French, S. (eds.). The Structural Foundations of Quantum Gravity. Oxford University Press. pp. 240–266. arXiv:quant-ph/0404040. ISBN 978-0-19-926969-3.

dal.ca

mscs.dal.ca

Selinger, P. (2005). "Dagger compact closed categories and completely positive maps". Proceedings of the 3rd International Workshop on Quantum Programming Languages, Chicago, June 30–July 1.
Selinger, P. (2011). "Finite dimensional Hilbert spaces are complete for dagger compact closed categories". Electronic Notes in Theoretical Computer Science. 270 (1): 113–9. CiteSeerX 10.1.1.749.4436. doi:10.1016/j.entcs.2011.01.010.

doi.org

Coecke, B.; Perdrix, S. (2012). "Environment and classical channels in categorical quantum mechanics". Proceedings of the 19th EACSL Annual Conference on Computer Science Logic (CSL). Lecture Notes in Computer Science. Vol. 6247. Springer. arXiv:1004.1598. doi:10.2168/LMCS-8(4:14)2012. S2CID 16833406.
Coecke, B.; Duncan, R. (2011). "Interacting quantum observables". Proceedings of the 35th International Colloquium on Automata, Languages and Programming (ICALP). Lecture Notes in Computer Science. Vol. 5126. pp. 298–310. arXiv:0906.4725. doi:10.1088/1367-2630/13/4/043016. S2CID 14259278.
Kelly, G.M.; Laplaza, M.L. (1980). "Coherence for compact closed categories". Journal of Pure and Applied Algebra. 19: 193–213. doi:10.1016/0022-4049(80)90101-2.
Joyal, A.; Street, R. (1991). "The Geometry of tensor calculus I". Advances in Mathematics. 88 (1): 55–112. doi:10.1016/0001-8708(91)90003-P.
Carboni, A.; Walters, R.F.C. (1987). "Cartesian bicategories I". Journal of Pure and Applied Algebra. 49 (1–2): 11–32. doi:10.1016/0022-4049(87)90121-6.
Coecke, B. (2010). "Quantum picturalism". Contemporary Physics. 51 (1): 59–83. arXiv:0908.1787. Bibcode:2010ConPh..51...59C. doi:10.1080/00107510903257624. S2CID 752173.
Backens, Miriam (2014). "The ZX-calculus is complete for stabilizer quantum mechanics". New Journal of Physics. 16 (9): 093021. arXiv:1307.7025. Bibcode:2014NJPh...16i3021B. doi:10.1088/1367-2630/16/9/093021. ISSN 1367-2630. S2CID 27558474.
Selinger, P. (2011). "Finite dimensional Hilbert spaces are complete for dagger compact closed categories". Electronic Notes in Theoretical Computer Science. 270 (1): 113–9. CiteSeerX 10.1.1.749.4436. doi:10.1016/j.entcs.2011.01.010.
Coecke, B.; Pavlovic, D.; Vicary, J. (2013). "A new description of orthogonal bases". Mathematical Structures in Computer Science. 23 (3): 555–567. arXiv:0810.0812. CiteSeerX 10.1.1.244.6490. doi:10.1017/S0960129512000047. S2CID 12608889.
Vicary, J. (2011). "Completeness of dagger-categories and the complex numbers". Journal of Mathematical Physics. 52 (8): 082104. arXiv:0807.2927. Bibcode:2011JMP....52h2104V. doi:10.1063/1.3549117. S2CID 115154127.
Heunen, C.; Kornell, A. (2022). "Axioms for the category of Hilbert spaces". Proceedings of the National Academy of Sciences. 119 (9): e2117024119. arXiv:2109.07418. Bibcode:2022PNAS..11917024H. doi:10.1073/pnas.2117024119. PMC 8892366. PMID 35217613.
Pavlovic, D. (2009). "Quantum and classical structures in nondeterminstic computation". Quantum Interaction. QI 2009. Lecture Notes in Computer Science. Vol. 5494. Springer. pp. 143–157. arXiv:0812.2266. doi:10.1007/978-3-642-00834-4_13. ISBN 978-3-642-00834-4. S2CID 11615031.(2009).
Heunen, C.; Jacobs, B. (2009). "Quantum logic in dagger kernel categories". Order. 27 (2): 177–212. arXiv:0902.2355. doi:10.1007/s11083-010-9145-5. S2CID 2760251.
Harding, J. (2009). "A Link between quantum logic and categorical quantum mechanics". International Journal of Theoretical Physics. 48 (3): 769–802. Bibcode:2009IJTP...48..769H. CiteSeerX 10.1.1.605.9683. doi:10.1007/s10773-008-9853-4. S2CID 13394885.
Coecke, B.; Edwards, B.; Spekkens, R.W. (2011). "Phase groups and the origin of non-locality for qubits". Electronic Notes in Theoretical Computer Science. 270 (2): 15–36. arXiv:1003.5005. doi:10.1016/j.entcs.2011.01.021. S2CID 27998267., to appear (2010).
Sadrzadeh, Mehrnoosh; Clark, Stephen; Coecke, Bob (2013-12-01). "The Frobenius anatomy of word meanings I: subject and object relative pronouns". Journal of Logic and Computation. 23 (6): 1293–1317. arXiv:1404.5278. doi:10.1093/logcom/ext044. ISSN 0955-792X.
Sadrzadeh, Mehrnoosh; Clark, Stephen; Coecke, Bob (2016). "The Frobenius anatomy of word meanings II: possessive relative pronouns". Journal of Logic and Computation. 26 (2): 785–815. arXiv:1406.4690. doi:10.1093/logcom/exu027.

harvard.edu

ui.adsabs.harvard.edu

Coecke, B.; Kissinger, A. (2017). Picturing Quantum Processes. Cambridge University Press. Bibcode:2017pqp..book.....C. ISBN 978-1-107-10422-8.
Coecke, B. (2010). "Quantum picturalism". Contemporary Physics. 51 (1): 59–83. arXiv:0908.1787. Bibcode:2010ConPh..51...59C. doi:10.1080/00107510903257624. S2CID 752173.
Backens, Miriam (2014). "The ZX-calculus is complete for stabilizer quantum mechanics". New Journal of Physics. 16 (9): 093021. arXiv:1307.7025. Bibcode:2014NJPh...16i3021B. doi:10.1088/1367-2630/16/9/093021. ISSN 1367-2630. S2CID 27558474.
Vicary, J. (2011). "Completeness of dagger-categories and the complex numbers". Journal of Mathematical Physics. 52 (8): 082104. arXiv:0807.2927. Bibcode:2011JMP....52h2104V. doi:10.1063/1.3549117. S2CID 115154127.
Heunen, C.; Kornell, A. (2022). "Axioms for the category of Hilbert spaces". Proceedings of the National Academy of Sciences. 119 (9): e2117024119. arXiv:2109.07418. Bibcode:2022PNAS..11917024H. doi:10.1073/pnas.2117024119. PMC 8892366. PMID 35217613.
Harding, J. (2009). "A Link between quantum logic and categorical quantum mechanics". International Journal of Theoretical Physics. 48 (3): 769–802. Bibcode:2009IJTP...48..769H. CiteSeerX 10.1.1.605.9683. doi:10.1007/s10773-008-9853-4. S2CID 13394885.

iop.org

stacks.iop.org

Backens, Miriam (2014). "The ZX-calculus is complete for stabilizer quantum mechanics". New Journal of Physics. 16 (9): 093021. arXiv:1307.7025. Bibcode:2014NJPh...16i3021B. doi:10.1088/1367-2630/16/9/093021. ISSN 1367-2630. S2CID 27558474.

nih.gov

ncbi.nlm.nih.gov

Heunen, C.; Kornell, A. (2022). "Axioms for the category of Hilbert spaces". Proceedings of the National Academy of Sciences. 119 (9): e2117024119. arXiv:2109.07418. Bibcode:2022PNAS..11917024H. doi:10.1073/pnas.2117024119. PMC 8892366. PMID 35217613.

pubmed.ncbi.nlm.nih.gov

Heunen, C.; Kornell, A. (2022). "Axioms for the category of Hilbert spaces". Proceedings of the National Academy of Sciences. 119 (9): e2117024119. arXiv:2109.07418. Bibcode:2022PNAS..11917024H. doi:10.1073/pnas.2117024119. PMC 8892366. PMID 35217613.

oup.com

global.oup.com

Heunen, C.; Vicary, J. (2019). Categories for Quantum Theory. Oxford University Press. ISBN 978-0-19-873961-6.

ox.ac.uk

cs.ox.ac.uk

Duncan, R. (2006). Types for Quantum Computing (PDF) (PhD). University of Oxford. CiteSeerX 10.1.1.122.134. uk.bl.ethos.483690.

psu.edu

citeseerx.ist.psu.edu

Selinger, P. (2011). "Finite dimensional Hilbert spaces are complete for dagger compact closed categories". Electronic Notes in Theoretical Computer Science. 270 (1): 113–9. CiteSeerX 10.1.1.749.4436. doi:10.1016/j.entcs.2011.01.010.
Coecke, B.; Pavlovic, D.; Vicary, J. (2013). "A new description of orthogonal bases". Mathematical Structures in Computer Science. 23 (3): 555–567. arXiv:0810.0812. CiteSeerX 10.1.1.244.6490. doi:10.1017/S0960129512000047. S2CID 12608889.
Duncan, R. (2006). Types for Quantum Computing (PDF) (PhD). University of Oxford. CiteSeerX 10.1.1.122.134. uk.bl.ethos.483690.
Harding, J. (2009). "A Link between quantum logic and categorical quantum mechanics". International Journal of Theoretical Physics. 48 (3): 769–802. Bibcode:2009IJTP...48..769H. CiteSeerX 10.1.1.605.9683. doi:10.1007/s10773-008-9853-4. S2CID 13394885.

semanticscholar.org

api.semanticscholar.org

Coecke, B.; Perdrix, S. (2012). "Environment and classical channels in categorical quantum mechanics". Proceedings of the 19th EACSL Annual Conference on Computer Science Logic (CSL). Lecture Notes in Computer Science. Vol. 6247. Springer. arXiv:1004.1598. doi:10.2168/LMCS-8(4:14)2012. S2CID 16833406.
Coecke, B.; Duncan, R. (2011). "Interacting quantum observables". Proceedings of the 35th International Colloquium on Automata, Languages and Programming (ICALP). Lecture Notes in Computer Science. Vol. 5126. pp. 298–310. arXiv:0906.4725. doi:10.1088/1367-2630/13/4/043016. S2CID 14259278.
Coecke, B. (2010). "Quantum picturalism". Contemporary Physics. 51 (1): 59–83. arXiv:0908.1787. Bibcode:2010ConPh..51...59C. doi:10.1080/00107510903257624. S2CID 752173.
Backens, Miriam (2014). "The ZX-calculus is complete for stabilizer quantum mechanics". New Journal of Physics. 16 (9): 093021. arXiv:1307.7025. Bibcode:2014NJPh...16i3021B. doi:10.1088/1367-2630/16/9/093021. ISSN 1367-2630. S2CID 27558474.
Coecke, B.; Pavlovic, D.; Vicary, J. (2013). "A new description of orthogonal bases". Mathematical Structures in Computer Science. 23 (3): 555–567. arXiv:0810.0812. CiteSeerX 10.1.1.244.6490. doi:10.1017/S0960129512000047. S2CID 12608889.
Vicary, J. (2011). "Completeness of dagger-categories and the complex numbers". Journal of Mathematical Physics. 52 (8): 082104. arXiv:0807.2927. Bibcode:2011JMP....52h2104V. doi:10.1063/1.3549117. S2CID 115154127.
Pavlovic, D. (2009). "Quantum and classical structures in nondeterminstic computation". Quantum Interaction. QI 2009. Lecture Notes in Computer Science. Vol. 5494. Springer. pp. 143–157. arXiv:0812.2266. doi:10.1007/978-3-642-00834-4_13. ISBN 978-3-642-00834-4. S2CID 11615031.(2009).
Heunen, C.; Jacobs, B. (2009). "Quantum logic in dagger kernel categories". Order. 27 (2): 177–212. arXiv:0902.2355. doi:10.1007/s11083-010-9145-5. S2CID 2760251.
Harding, J. (2009). "A Link between quantum logic and categorical quantum mechanics". International Journal of Theoretical Physics. 48 (3): 769–802. Bibcode:2009IJTP...48..769H. CiteSeerX 10.1.1.605.9683. doi:10.1007/s10773-008-9853-4. S2CID 13394885.
Coecke, B.; Edwards, B.; Spekkens, R.W. (2011). "Phase groups and the origin of non-locality for qubits". Electronic Notes in Theoretical Computer Science. 270 (2): 15–36. arXiv:1003.5005. doi:10.1016/j.entcs.2011.01.021. S2CID 27998267., to appear (2010).

worldcat.org

search.worldcat.org

Penrose, R. (1971). "Applications of negative dimensional tensors". In Welsh, D. (ed.). Combinatorial Mathematics and its Applications. Proceedings of a Conference Held at the Mathematical Institute, Oxford, from 7-10 July, 1969. Academic Press. pp. 221–244. OCLC 257806578.
Backens, Miriam (2014). "The ZX-calculus is complete for stabilizer quantum mechanics". New Journal of Physics. 16 (9): 093021. arXiv:1307.7025. Bibcode:2014NJPh...16i3021B. doi:10.1088/1367-2630/16/9/093021. ISSN 1367-2630. S2CID 27558474.
Sadrzadeh, Mehrnoosh; Clark, Stephen; Coecke, Bob (2013-12-01). "The Frobenius anatomy of word meanings I: subject and object relative pronouns". Journal of Logic and Computation. 23 (6): 1293–1317. arXiv:1404.5278. doi:10.1093/logcom/ext044. ISSN 0955-792X.