Gleason's theorem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Gleason's theorem" in English language version.

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Gleason, Andrew M. (1957). "Measures on the closed subspaces of a Hilbert space". Indiana University Mathematics Journal. 6 (4): 885–893. doi:10.1512/iumj.1957.6.56050. MR 0096113.
Hamhalter, Jan (2003-10-31). Quantum Measure Theory. Springer Science & Business Media. ISBN 9781402017148. MR 2015280. OCLC 928681664. Zbl 1038.81003.

ams.org

Chernoff, Paul R. "Andy Gleason and Quantum Mechanics" (PDF). Notices of the AMS. 56 (10): 1253–1259.

archive.org

van Fraassen, Bas (1991). Quantum Mechanics: An Empiricist View. Clarendon Press. ISBN 9780198239802. OCLC 1005285550.

arxiv.org

Barnum, H.; Caves, C. M.; Finkelstein, J.; Fuchs, C. A.; Schack, R. (2000-05-08). "Quantum probability from decision theory?". Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. 456 (1997): 1175–1182. arXiv:quant-ph/9907024. Bibcode:2000RSPSA.456.1175B. CiteSeerX 10.1.1.769.8732. doi:10.1098/rspa.2000.0557. ISSN 1364-5021. S2CID 11563591.
Pitowsky, Itamar (2003). "Betting on the outcomes of measurements: a Bayesian theory of quantum probability". Studies in History and Philosophy of Modern Physics. 34 (3): 395–414. arXiv:quant-ph/0208121. Bibcode:2003SHPMP..34..395P. doi:10.1016/S1355-2198(03)00035-2.
Pitowsky, Itamar (2006). "Quantum mechanics as a theory of probability". In Demopoulos, William; Pitowsky, Itamar (eds.). Physical Theory and its Interpretation: Essays in Honor of Jeffrey Bub. Springer. p. 213. arXiv:quant-ph/0510095. Bibcode:2005quant.ph.10095P. ISBN 9781402048760. OCLC 917845122.
Kunjwal, Ravi; Spekkens, Rob W. (2015-09-09). "From the Kochen–Specker theorem to noncontextuality inequalities without assuming determinism". Physical Review Letters. 115 (11): 110403. arXiv:1506.04150. Bibcode:2015PhRvL.115k0403K. doi:10.1103/PhysRevLett.115.110403. PMID 26406812. S2CID 10308680.
Moretti, Valter; Oppio, Marco (2018-10-16). "The Correct Formulation of Gleason's Theorem in Quaternionic Hilbert Spaces". Annales Henri Poincaré. 19 (11): 3321–3355. arXiv:1803.06882. Bibcode:2018AnHP...19.3321M. doi:10.1007/s00023-018-0729-8. S2CID 53630146.
Bub, Jeffrey (2010). "Von Neumann's 'No Hidden Variables' Proof: A Re-Appraisal". Foundations of Physics. 40 (9–10): 1333–1340. arXiv:1006.0499. Bibcode:2010FoPh...40.1333B. doi:10.1007/s10701-010-9480-9. S2CID 118595119.
Mermin, N. David; Schack, Rüdiger (2018). "Homer nodded: von Neumann's surprising oversight". Foundations of Physics. 48 (9): 1007–1020. arXiv:1805.10311. Bibcode:2018FoPh...48.1007M. doi:10.1007/s10701-018-0197-5. S2CID 118951033.
Hrushovski, Ehud; Pitowsky, Itamar (2004-06-01). "Generalizations of Kochen and Specker's theorem and the effectiveness of Gleason's theorem". Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics. 35 (2): 177–194. arXiv:quant-ph/0307139. Bibcode:2004SHPMP..35..177H. doi:10.1016/j.shpsb.2003.10.002. S2CID 15265001.
Stairs, Allen (2015). "Quantum Logic and Quantum Reconstruction". Foundations of Physics. 45 (10): 1351–1361. arXiv:1501.05492. Bibcode:2015FoPh...45.1351S. doi:10.1007/s10701-015-9879-4. S2CID 126435.
Mermin, N. David (1993-07-01). "Hidden variables and the two theorems of John Bell". Reviews of Modern Physics. 65 (3): 803–815. arXiv:1802.10119. Bibcode:1993RvMP...65..803M. doi:10.1103/RevModPhys.65.803. S2CID 119546199.
Harrigan, Nicholas; Spekkens, Robert W. (2010). "Einstein, incompleteness, and the epistemic view of quantum states". Foundations of Physics. 40 (2): 125–157. arXiv:0706.2661. Bibcode:2010FoPh...40..125H. doi:10.1007/s10701-009-9347-0. S2CID 32755624.
Moretti, Valter; Oppio, Marco (2019-06-01). "Quantum theory in quaternionic Hilbert space: How Poincaré symmetry reduces the theory to the standard complex one". Reviews in Mathematical Physics. 31 (4): 1950013–502. arXiv:1709.09246. Bibcode:2019RvMaP..3150013M. doi:10.1142/S0129055X19500132. S2CID 119733863.
Busch, Paul (2003). "Quantum States and Generalized Observables: A Simple Proof of Gleason's Theorem". Physical Review Letters. 91 (12): 120403. arXiv:quant-ph/9909073. Bibcode:2003PhRvL..91l0403B. doi:10.1103/PhysRevLett.91.120403. PMID 14525351. S2CID 2168715.
Caves, Carlton M.; Fuchs, Christopher A.; Manne, Kiran K.; Renes, Joseph M. (2004). "Gleason-Type Derivations of the Quantum Probability Rule for Generalized Measurements". Foundations of Physics. 34 (2): 193–209. arXiv:quant-ph/0306179. Bibcode:2004FoPh...34..193C. doi:10.1023/B:FOOP.0000019581.00318.a5. S2CID 18132256.
Spekkens, Robert W. (2014). "The Status of Determinism in Proofs of the Impossibility of a Noncontextual Model of Quantum Theory". Foundations of Physics. 44 (11): 1125–1155. arXiv:1312.3667. Bibcode:2014FoPh...44.1125S. doi:10.1007/s10701-014-9833-x. S2CID 118469528.
Wright, Victoria J.; Weigert, Stephan (2019). "A Gleason-type theorem for qubits based on mixtures of projective measurements". Journal of Physics A. 52 (5): 055301. arXiv:1808.08091. Bibcode:2019JPhA...52e5301W. doi:10.1088/1751-8121/aaf93d. S2CID 119309162.
Grudka, Andrzej; Kurzyński, Paweł (2008). "Is There Contextuality for a Single Qubit?". Physical Review Letters. 100 (16): 160401. arXiv:0705.0181. Bibcode:2008PhRvL.100p0401G. doi:10.1103/PhysRevLett.100.160401. PMID 18518167. S2CID 13251108.

books.google.com

Hamhalter, Jan (2003-10-31). Quantum Measure Theory. Springer Science & Business Media. ISBN 9781402017148. MR 2015280. OCLC 928681664. Zbl 1038.81003.

doi.org

Gleason, Andrew M. (1957). "Measures on the closed subspaces of a Hilbert space". Indiana University Mathematics Journal. 6 (4): 885–893. doi:10.1512/iumj.1957.6.56050. MR 0096113.
Drieschner, M.; Görnitz, Th.; von Weizsäcker, C. F. (1988-03-01). "Reconstruction of abstract quantum theory". International Journal of Theoretical Physics. 27 (3): 289–306. Bibcode:1988IJTP...27..289D. doi:10.1007/bf00668895. ISSN 0020-7748. S2CID 122866239.
Barnum, H.; Caves, C. M.; Finkelstein, J.; Fuchs, C. A.; Schack, R. (2000-05-08). "Quantum probability from decision theory?". Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. 456 (1997): 1175–1182. arXiv:quant-ph/9907024. Bibcode:2000RSPSA.456.1175B. CiteSeerX 10.1.1.769.8732. doi:10.1098/rspa.2000.0557. ISSN 1364-5021. S2CID 11563591.
Pitowsky, Itamar (2003). "Betting on the outcomes of measurements: a Bayesian theory of quantum probability". Studies in History and Philosophy of Modern Physics. 34 (3): 395–414. arXiv:quant-ph/0208121. Bibcode:2003SHPMP..34..395P. doi:10.1016/S1355-2198(03)00035-2.
Kunjwal, Ravi; Spekkens, Rob W. (2015-09-09). "From the Kochen–Specker theorem to noncontextuality inequalities without assuming determinism". Physical Review Letters. 115 (11): 110403. arXiv:1506.04150. Bibcode:2015PhRvL.115k0403K. doi:10.1103/PhysRevLett.115.110403. PMID 26406812. S2CID 10308680.
Piron, C. (1972-10-01). "Survey of general quantum physics". Foundations of Physics. 2 (4): 287–314. Bibcode:1972FoPh....2..287P. doi:10.1007/bf00708413. ISSN 0015-9018. S2CID 123364715.
Drisch, Thomas (1979-04-01). "Generalization of Gleason's theorem". International Journal of Theoretical Physics. 18 (4): 239–243. Bibcode:1979IJTP...18..239D. doi:10.1007/bf00671760. ISSN 0020-7748. S2CID 121825926.
Horwitz, L. P.; Biedenharn, L. C. (1984). "Quaternion quantum mechanics: Second quantization and gauge fields". Annals of Physics. 157 (2): 432–488. Bibcode:1984AnPhy.157..432H. doi:10.1016/0003-4916(84)90068-x.
Razon, Aharon; Horwitz, L. P. (1991-08-01). "Projection operators and states in the tensor product of quaternion Hilbert modules". Acta Applicandae Mathematicae. 24 (2): 179–194. doi:10.1007/bf00046891. ISSN 0167-8019. S2CID 119666741.
Cassinelli, G.; Lahti, P. (2017-11-13). "Quantum mechanics: why complex Hilbert space?". Philosophical Transactions of the Royal Society A. 375 (2106): 20160393. Bibcode:2017RSPTA.37560393C. doi:10.1098/rsta.2016.0393. ISSN 1364-503X. PMID 28971945.
Moretti, Valter; Oppio, Marco (2018-10-16). "The Correct Formulation of Gleason's Theorem in Quaternionic Hilbert Spaces". Annales Henri Poincaré. 19 (11): 3321–3355. arXiv:1803.06882. Bibcode:2018AnHP...19.3321M. doi:10.1007/s00023-018-0729-8. S2CID 53630146.
Bell, John (1966). "On the Problem of Hidden Variables in Quantum Mechanics". Reviews of Modern Physics. 38 (3): 447. Bibcode:1966RvMP...38..447B. doi:10.1103/RevModPhys.38.447. OSTI 1444158.
Bub, Jeffrey (2010). "Von Neumann's 'No Hidden Variables' Proof: A Re-Appraisal". Foundations of Physics. 40 (9–10): 1333–1340. arXiv:1006.0499. Bibcode:2010FoPh...40.1333B. doi:10.1007/s10701-010-9480-9. S2CID 118595119.
Mermin, N. David; Schack, Rüdiger (2018). "Homer nodded: von Neumann's surprising oversight". Foundations of Physics. 48 (9): 1007–1020. arXiv:1805.10311. Bibcode:2018FoPh...48.1007M. doi:10.1007/s10701-018-0197-5. S2CID 118951033.
Peres, Asher (1992). "An experimental test for Gleason's theorem". Physics Letters A. 163 (4): 243–245. Bibcode:1992PhLA..163..243P. doi:10.1016/0375-9601(92)91005-C.
Mackey, George W. (1957). "Quantum Mechanics and Hilbert Space". The American Mathematical Monthly. 64 (8P2): 45–57. doi:10.1080/00029890.1957.11989120. JSTOR 2308516.
Hrushovski, Ehud; Pitowsky, Itamar (2004-06-01). "Generalizations of Kochen and Specker's theorem and the effectiveness of Gleason's theorem". Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics. 35 (2): 177–194. arXiv:quant-ph/0307139. Bibcode:2004SHPMP..35..177H. doi:10.1016/j.shpsb.2003.10.002. S2CID 15265001.
Cooke, Roger; Keane, Michael; Moran, William (1985). "An elementary proof of Gleason's theorem". Mathematical Proceedings of the Cambridge Philosophical Society. 98 (1): 117–128. Bibcode:1985MPCPS..98..117C. doi:10.1017/S0305004100063313. S2CID 124627182.
Pitowsky, Itamar (1998). "Infinite and finite Gleason's theorems and the logic of indeterminacy". Journal of Mathematical Physics. 39 (1): 218–228. Bibcode:1998JMP....39..218P. doi:10.1063/1.532334.
Hudson, Robin Lyth (1986). "Geometry of quantum theory". The Mathematical Gazette. 70 (454): 332–333. doi:10.2307/3616230. JSTOR 3616230.
Stairs, Allen (2015). "Quantum Logic and Quantum Reconstruction". Foundations of Physics. 45 (10): 1351–1361. arXiv:1501.05492. Bibcode:2015FoPh...45.1351S. doi:10.1007/s10701-015-9879-4. S2CID 126435.
Mermin, N. David (1993-07-01). "Hidden variables and the two theorems of John Bell". Reviews of Modern Physics. 65 (3): 803–815. arXiv:1802.10119. Bibcode:1993RvMP...65..803M. doi:10.1103/RevModPhys.65.803. S2CID 119546199.
Shimony, Abner (1984). "Contextual Hidden Variable Theories and Bell's Inequalities". British Journal for the Philosophy of Science. 35 (1): 25–45. doi:10.1093/bjps/35.1.25.
Harrigan, Nicholas; Spekkens, Robert W. (2010). "Einstein, incompleteness, and the epistemic view of quantum states". Foundations of Physics. 40 (2): 125–157. arXiv:0706.2661. Bibcode:2010FoPh...40..125H. doi:10.1007/s10701-009-9347-0. S2CID 32755624.
Peres, Asher (1991). "Two simple proofs of the Kochen-Specker theorem". Journal of Physics A: Mathematical and General. 24 (4): L175–L178. Bibcode:1991JPhA...24L.175P. doi:10.1088/0305-4470/24/4/003. ISSN 0305-4470.
Stairs, Allen (1983). "Quantum Logic, Realism, and Value Definiteness". Philosophy of Science. 50 (4): 578–602. doi:10.1086/289140. S2CID 122885859.
Heywood, Peter; Redhead, Michael L. G. (1983). "Nonlocality and the Kochen–Specker paradox". Foundations of Physics. 13 (5): 481–499. Bibcode:1983FoPh...13..481H. doi:10.1007/BF00729511. S2CID 120340929.
Edwards, David (1979). "The Mathematical Foundations of Quantum Mechanics". Synthese. 42: 1–70. doi:10.1007/BF00413704. S2CID 46969028.
Moretti, Valter; Oppio, Marco (2019-06-01). "Quantum theory in quaternionic Hilbert space: How Poincaré symmetry reduces the theory to the standard complex one". Reviews in Mathematical Physics. 31 (4): 1950013–502. arXiv:1709.09246. Bibcode:2019RvMaP..3150013M. doi:10.1142/S0129055X19500132. S2CID 119733863.
Busch, Paul (2003). "Quantum States and Generalized Observables: A Simple Proof of Gleason's Theorem". Physical Review Letters. 91 (12): 120403. arXiv:quant-ph/9909073. Bibcode:2003PhRvL..91l0403B. doi:10.1103/PhysRevLett.91.120403. PMID 14525351. S2CID 2168715.
Caves, Carlton M.; Fuchs, Christopher A.; Manne, Kiran K.; Renes, Joseph M. (2004). "Gleason-Type Derivations of the Quantum Probability Rule for Generalized Measurements". Foundations of Physics. 34 (2): 193–209. arXiv:quant-ph/0306179. Bibcode:2004FoPh...34..193C. doi:10.1023/B:FOOP.0000019581.00318.a5. S2CID 18132256.
Spekkens, Robert W. (2014). "The Status of Determinism in Proofs of the Impossibility of a Noncontextual Model of Quantum Theory". Foundations of Physics. 44 (11): 1125–1155. arXiv:1312.3667. Bibcode:2014FoPh...44.1125S. doi:10.1007/s10701-014-9833-x. S2CID 118469528.
Wright, Victoria J.; Weigert, Stephan (2019). "A Gleason-type theorem for qubits based on mixtures of projective measurements". Journal of Physics A. 52 (5): 055301. arXiv:1808.08091. Bibcode:2019JPhA...52e5301W. doi:10.1088/1751-8121/aaf93d. S2CID 119309162.
Grudka, Andrzej; Kurzyński, Paweł (2008). "Is There Contextuality for a Single Qubit?". Physical Review Letters. 100 (16): 160401. arXiv:0705.0181. Bibcode:2008PhRvL.100p0401G. doi:10.1103/PhysRevLett.100.160401. PMID 18518167. S2CID 13251108.
Richman, Fred; Bridges, Douglas (1999-03-10). "A Constructive Proof of Gleason's Theorem". Journal of Functional Analysis. 162 (2): 287–312. doi:10.1006/jfan.1998.3372. hdl:2292/3547.

handle.net

hdl.handle.net

Richman, Fred; Bridges, Douglas (1999-03-10). "A Constructive Proof of Gleason's Theorem". Journal of Functional Analysis. 162 (2): 287–312. doi:10.1006/jfan.1998.3372. hdl:2292/3547.

harvard.edu

ui.adsabs.harvard.edu

Drieschner, M.; Görnitz, Th.; von Weizsäcker, C. F. (1988-03-01). "Reconstruction of abstract quantum theory". International Journal of Theoretical Physics. 27 (3): 289–306. Bibcode:1988IJTP...27..289D. doi:10.1007/bf00668895. ISSN 0020-7748. S2CID 122866239.
Barnum, H.; Caves, C. M.; Finkelstein, J.; Fuchs, C. A.; Schack, R. (2000-05-08). "Quantum probability from decision theory?". Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. 456 (1997): 1175–1182. arXiv:quant-ph/9907024. Bibcode:2000RSPSA.456.1175B. CiteSeerX 10.1.1.769.8732. doi:10.1098/rspa.2000.0557. ISSN 1364-5021. S2CID 11563591.
Pitowsky, Itamar (2003). "Betting on the outcomes of measurements: a Bayesian theory of quantum probability". Studies in History and Philosophy of Modern Physics. 34 (3): 395–414. arXiv:quant-ph/0208121. Bibcode:2003SHPMP..34..395P. doi:10.1016/S1355-2198(03)00035-2.
Pitowsky, Itamar (2006). "Quantum mechanics as a theory of probability". In Demopoulos, William; Pitowsky, Itamar (eds.). Physical Theory and its Interpretation: Essays in Honor of Jeffrey Bub. Springer. p. 213. arXiv:quant-ph/0510095. Bibcode:2005quant.ph.10095P. ISBN 9781402048760. OCLC 917845122.
Kunjwal, Ravi; Spekkens, Rob W. (2015-09-09). "From the Kochen–Specker theorem to noncontextuality inequalities without assuming determinism". Physical Review Letters. 115 (11): 110403. arXiv:1506.04150. Bibcode:2015PhRvL.115k0403K. doi:10.1103/PhysRevLett.115.110403. PMID 26406812. S2CID 10308680.
Piron, C. (1972-10-01). "Survey of general quantum physics". Foundations of Physics. 2 (4): 287–314. Bibcode:1972FoPh....2..287P. doi:10.1007/bf00708413. ISSN 0015-9018. S2CID 123364715.
Drisch, Thomas (1979-04-01). "Generalization of Gleason's theorem". International Journal of Theoretical Physics. 18 (4): 239–243. Bibcode:1979IJTP...18..239D. doi:10.1007/bf00671760. ISSN 0020-7748. S2CID 121825926.
Horwitz, L. P.; Biedenharn, L. C. (1984). "Quaternion quantum mechanics: Second quantization and gauge fields". Annals of Physics. 157 (2): 432–488. Bibcode:1984AnPhy.157..432H. doi:10.1016/0003-4916(84)90068-x.
Cassinelli, G.; Lahti, P. (2017-11-13). "Quantum mechanics: why complex Hilbert space?". Philosophical Transactions of the Royal Society A. 375 (2106): 20160393. Bibcode:2017RSPTA.37560393C. doi:10.1098/rsta.2016.0393. ISSN 1364-503X. PMID 28971945.
Moretti, Valter; Oppio, Marco (2018-10-16). "The Correct Formulation of Gleason's Theorem in Quaternionic Hilbert Spaces". Annales Henri Poincaré. 19 (11): 3321–3355. arXiv:1803.06882. Bibcode:2018AnHP...19.3321M. doi:10.1007/s00023-018-0729-8. S2CID 53630146.
Bell, John (1966). "On the Problem of Hidden Variables in Quantum Mechanics". Reviews of Modern Physics. 38 (3): 447. Bibcode:1966RvMP...38..447B. doi:10.1103/RevModPhys.38.447. OSTI 1444158.
Bub, Jeffrey (2010). "Von Neumann's 'No Hidden Variables' Proof: A Re-Appraisal". Foundations of Physics. 40 (9–10): 1333–1340. arXiv:1006.0499. Bibcode:2010FoPh...40.1333B. doi:10.1007/s10701-010-9480-9. S2CID 118595119.
Mermin, N. David; Schack, Rüdiger (2018). "Homer nodded: von Neumann's surprising oversight". Foundations of Physics. 48 (9): 1007–1020. arXiv:1805.10311. Bibcode:2018FoPh...48.1007M. doi:10.1007/s10701-018-0197-5. S2CID 118951033.
Peres, Asher (1992). "An experimental test for Gleason's theorem". Physics Letters A. 163 (4): 243–245. Bibcode:1992PhLA..163..243P. doi:10.1016/0375-9601(92)91005-C.
Hrushovski, Ehud; Pitowsky, Itamar (2004-06-01). "Generalizations of Kochen and Specker's theorem and the effectiveness of Gleason's theorem". Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics. 35 (2): 177–194. arXiv:quant-ph/0307139. Bibcode:2004SHPMP..35..177H. doi:10.1016/j.shpsb.2003.10.002. S2CID 15265001.
Cooke, Roger; Keane, Michael; Moran, William (1985). "An elementary proof of Gleason's theorem". Mathematical Proceedings of the Cambridge Philosophical Society. 98 (1): 117–128. Bibcode:1985MPCPS..98..117C. doi:10.1017/S0305004100063313. S2CID 124627182.
Pitowsky, Itamar (1998). "Infinite and finite Gleason's theorems and the logic of indeterminacy". Journal of Mathematical Physics. 39 (1): 218–228. Bibcode:1998JMP....39..218P. doi:10.1063/1.532334.
Stairs, Allen (2015). "Quantum Logic and Quantum Reconstruction". Foundations of Physics. 45 (10): 1351–1361. arXiv:1501.05492. Bibcode:2015FoPh...45.1351S. doi:10.1007/s10701-015-9879-4. S2CID 126435.
Mermin, N. David (1993-07-01). "Hidden variables and the two theorems of John Bell". Reviews of Modern Physics. 65 (3): 803–815. arXiv:1802.10119. Bibcode:1993RvMP...65..803M. doi:10.1103/RevModPhys.65.803. S2CID 119546199.
Harrigan, Nicholas; Spekkens, Robert W. (2010). "Einstein, incompleteness, and the epistemic view of quantum states". Foundations of Physics. 40 (2): 125–157. arXiv:0706.2661. Bibcode:2010FoPh...40..125H. doi:10.1007/s10701-009-9347-0. S2CID 32755624.
Peres, Asher (1991). "Two simple proofs of the Kochen-Specker theorem". Journal of Physics A: Mathematical and General. 24 (4): L175–L178. Bibcode:1991JPhA...24L.175P. doi:10.1088/0305-4470/24/4/003. ISSN 0305-4470.
Heywood, Peter; Redhead, Michael L. G. (1983). "Nonlocality and the Kochen–Specker paradox". Foundations of Physics. 13 (5): 481–499. Bibcode:1983FoPh...13..481H. doi:10.1007/BF00729511. S2CID 120340929.
Moretti, Valter; Oppio, Marco (2019-06-01). "Quantum theory in quaternionic Hilbert space: How Poincaré symmetry reduces the theory to the standard complex one". Reviews in Mathematical Physics. 31 (4): 1950013–502. arXiv:1709.09246. Bibcode:2019RvMaP..3150013M. doi:10.1142/S0129055X19500132. S2CID 119733863.
Busch, Paul (2003). "Quantum States and Generalized Observables: A Simple Proof of Gleason's Theorem". Physical Review Letters. 91 (12): 120403. arXiv:quant-ph/9909073. Bibcode:2003PhRvL..91l0403B. doi:10.1103/PhysRevLett.91.120403. PMID 14525351. S2CID 2168715.
Caves, Carlton M.; Fuchs, Christopher A.; Manne, Kiran K.; Renes, Joseph M. (2004). "Gleason-Type Derivations of the Quantum Probability Rule for Generalized Measurements". Foundations of Physics. 34 (2): 193–209. arXiv:quant-ph/0306179. Bibcode:2004FoPh...34..193C. doi:10.1023/B:FOOP.0000019581.00318.a5. S2CID 18132256.
Spekkens, Robert W. (2014). "The Status of Determinism in Proofs of the Impossibility of a Noncontextual Model of Quantum Theory". Foundations of Physics. 44 (11): 1125–1155. arXiv:1312.3667. Bibcode:2014FoPh...44.1125S. doi:10.1007/s10701-014-9833-x. S2CID 118469528.
Wright, Victoria J.; Weigert, Stephan (2019). "A Gleason-type theorem for qubits based on mixtures of projective measurements". Journal of Physics A. 52 (5): 055301. arXiv:1808.08091. Bibcode:2019JPhA...52e5301W. doi:10.1088/1751-8121/aaf93d. S2CID 119309162.
Grudka, Andrzej; Kurzyński, Paweł (2008). "Is There Contextuality for a Single Qubit?". Physical Review Letters. 100 (16): 160401. arXiv:0705.0181. Bibcode:2008PhRvL.100p0401G. doi:10.1103/PhysRevLett.100.160401. PMID 18518167. S2CID 13251108.

indiana.edu

iumj.indiana.edu

Gleason, Andrew M. (1957). "Measures on the closed subspaces of a Hilbert space". Indiana University Mathematics Journal. 6 (4): 885–893. doi:10.1512/iumj.1957.6.56050. MR 0096113.

iop.org

stacks.iop.org

Peres, Asher (1991). "Two simple proofs of the Kochen-Specker theorem". Journal of Physics A: Mathematical and General. 24 (4): L175–L178. Bibcode:1991JPhA...24L.175P. doi:10.1088/0305-4470/24/4/003. ISSN 0305-4470.

jstor.org

Mackey, George W. (1957). "Quantum Mechanics and Hilbert Space". The American Mathematical Monthly. 64 (8P2): 45–57. doi:10.1080/00029890.1957.11989120. JSTOR 2308516.
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Drieschner, M.; Görnitz, Th.; von Weizsäcker, C. F. (1988-03-01). "Reconstruction of abstract quantum theory". International Journal of Theoretical Physics. 27 (3): 289–306. Bibcode:1988IJTP...27..289D. doi:10.1007/bf00668895. ISSN 0020-7748. S2CID 122866239.
Barnum, H.; Caves, C. M.; Finkelstein, J.; Fuchs, C. A.; Schack, R. (2000-05-08). "Quantum probability from decision theory?". Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. 456 (1997): 1175–1182. arXiv:quant-ph/9907024. Bibcode:2000RSPSA.456.1175B. CiteSeerX 10.1.1.769.8732. doi:10.1098/rspa.2000.0557. ISSN 1364-5021. S2CID 11563591.
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Piron, C. (1972-10-01). "Survey of general quantum physics". Foundations of Physics. 2 (4): 287–314. Bibcode:1972FoPh....2..287P. doi:10.1007/bf00708413. ISSN 0015-9018. S2CID 123364715.
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zbmath.org

Hamhalter, Jan (2003-10-31). Quantum Measure Theory. Springer Science & Business Media. ISBN 9781402017148. MR 2015280. OCLC 928681664. Zbl 1038.81003.