Publications and
Preprints
(Links are to .pdf files of
preprints. An asterisk indicates a student co-author.)
Preprints
- Symmetry, Compact Closure and Dagger
Compactness for Categories of Convex Operational Models (with Howard
Barnum and Ross Duncan), 2009. (Submitted to the Proceedings of the
workshop Quantum Logic Inspired by
Quantum Communication, Indiana University, May
2009.)
- Ensemble Steering. Weak Self-Duality
and the Structure of Probabilistic Theories (with Howard Barnum and
Philipp Gaebler*) 2009 (awaiting submission)
- Four and a Half Axioms for
Finite-Dimensional Quantum Mechanics 2009 (to appear in The Probable
and the Improbable: essays in honor of Itamar Pitowsky, M. Hemmo and Y. Ben-Menahem,
eds.)
- Ordered Linear Spaces and
Categories as Frameworks for Information-Processing Characterizations of
Quantum and Classical Theory (with H. Barnum), 2009
- Teleportation in Generalized
Probabilistic Theories (with Howard Barnum, Jon Barrett and
Matt Leifer), 2008 (To appear in the Proceedings
of the Clifford Lectures, AMS Proceedings of Symposia in Applied
Mathematics, M. Mislove, Ed.)
- Cloning and Broadcasting
in Generic Probabilistic Theories (with Howard Barnum, Jon Barrett and
Matt Leifer), 2006 (awaiting eventual revision)
- Influence-free
states on compound quantum systems (with
Howard Barnum, Chris Fuchs and Joe Renes), 2005 (awaiting eventual
revision)
Publications
- Symmetry and composition in
Generalized Probabilistic Theories, Proceedings of QLP VI, in Electronic Lecture Notes in Theoretical
Computer Science 270, Issue
2, (2011), 191-207
- Information Processing in Convex
Operational Theories (with Howard Barnum), Proceedings of /DCM III/QPL
V (2008), in Electronic Notes in
Theoretical Computer Science 270,
Issue 1 (2011), 3-15
- Entropy and Information Causality in
Generalized Probabilistic Theories (with H. Barnum, J. Barrett, L.
Clark, M. Leifer, R. Spekkens, N. Stepanik*,
and R. Wilke*), New Journal of
Physics 12 2010, 1367-2630
- Formalism and
Interpretation in Quantum Theory (invited paper for a Festschrift in
honor of Jeff Bub’s 65th birthday), Foundations of
Physics, 40 (2010) ,
434-462
- Test Spaces, 120+ pp, commissioned chapter for the Handbook
of Quantum Logic, vol. II,
D. Gabbay, K. Engesser and D. Lehman, eds., Elsevier (2008)
- Covariance in Quantum
Logic (with Q. Tran*) International
Journal of Theoretical Physics
47 (2008), 15-25
- A Generic No-Broadcasting
Theorem (with Howard Barnum, Jon Barrett and Matt Leifer), Physical Review Letters 77
(2007)
- Review
of Quantum Entanglements: selected
papers of Rob Clifton, edited by Jeremy Butterfield and Hans
Halvorson, Oxford University Press, 2004. Philosophy
of Science 73 (2006),
122-124
- Symmetry
and Topology in Quantum Logic,
International Journal of Theoretical Physics 44
(2005) 2303-2316
- Compact
Orthoalgebras, Proceedings of the American Mathematical Society 133 (2005),
2911-2920. (An older version, Topological Orthoalgebras,
contains additional material -- plus typos and other infelicities.)
- Topological
Test Spaces, International
Journal of Theoretical Physics 44 (2005), 1227-1238
- Compactness and Symmetry in Quantum Logic Proceedings of the
conference Quantum Theory: Reconsideration of Foundations 2 (International Center
for Mathematical Modeling, Växjo
University, Växjo, Sweden,
June 2003), A. Khrennikov, ed., Växjo University Press, 2004.
- Degenerate
Fibres in the Stone-Cech Compactification of the Universal Bundle of a
Finite Group (with D. V. Feldman), Transactions of the American
Mathematical Society 354 (2002), 3757-3769.
- Quantum Logic and
Quantum Probability, commissioned article for the Stanford Encyclopedia of Philosophy, Feb. 2002; revised February, 2006.
- On generalized Sasaki
Projections, International Journal of Theoretical Physics 39 (2000),
969-974
- Current Research in
Operational Quantum Logic (Ed., with B. Coecke
and D. J. Moore), Kluwer, 2000. Contributed three chapters:
- Operational quantum
logic: an overview (with B. Coecke and D. J. Moore), pp. 1-36 of [16] (A
slightly different version can be found here.)
- Test Spaces and
Orthoalgebras, pp. 81-114 of [16]. (Largely superseded by [11])
- Free Extensions of
Group Actions, Induced Representations, and the Foundations of Physics
(with D. J. Foulis), pp. 139-165 of [16]
- Superentangled
States (with R. Clifton, D. V. Feldman, H. Halvorson and M. Redhead), Physical
Review A 58 (1998), 135-145. (Here is an earlier version .)
- Abelian Extensions of
Quantum Logics (with D. V. Feldman), International Journal of
Theoretical Physics 37 (1998), 39-42
- Perspectivity and
Congruence in Partial Abelian Semigroups, Mathematica Slovaca 48
(1998), 112-135
- Symmetric Test Spaces,
in S. Hotaling and S. Pirich (Eds.), Photonic Quantum Computing, Proceedings
of the SPIEE 3067 (1997) 116-129
- Pull-backs and Product
Tests, Helvetica Physica Acta 70 (1997), 803-812
- Representations of
D-Posets (with S. Pulmannová), International
Journal of Theoretical Physics 34 (1995), 1689-1696
- Partial Abelian
Semigroups, International Journal of Theoretical Physics 34 (1995),
1807-1812
- Sigma-Additivity in
Manuals and Orthoalgebras (with D. V. Feldman), Order 10 (1993),
383-392
- Tensor Products in
Generalized Measure Theory, International Journal of Theoretical
Physics 31 (1992), 1915-1928
- The Tensor Product of
Frame Manuals, International Journal of Theoretical Physics 29 (1990)
805-814