Resource convertibility and ordered commutative monoids
暂无分享,去创建一个
[1] P. Kleingeld,et al. The Stanford Encyclopedia of Philosophy , 2013 .
[2] J. Renes,et al. Beyond heat baths: Generalized resource theories for small-scale thermodynamics. , 2014, Physical review. E.
[3] Chiara Marletto,et al. Constructor theory of life , 2014, Journal of The Royal Society Interface.
[4] Ion Nechita,et al. Catalytic Majorization and $$\ell_p$$ Norms , 2008 .
[5] F. Brandão,et al. Reversible Framework for Quantum Resource Theories. , 2015, Physical review letters.
[6] E. Lieb,et al. A Guide to Entropy and the Second Law of Thermodynamics , 1998, math-ph/9805005.
[7] M. Horodecki,et al. QUANTUMNESS IN THE CONTEXT OF) RESOURCE THEORIES , 2012, 1209.2162.
[8] André Thess. The Entropy Principle: Thermodynamics for the Unsatisfied , 2011 .
[9] Mikael Rørdam,et al. Extending states on preordered semigroups and the existence of quasitraces on C∗-algebras , 1992 .
[10] David M. Kreps. Notes On The Theory Of Choice , 1988 .
[11] Jirí Adámek,et al. Abstract and Concrete Categories - The Joy of Cats , 1990 .
[12] Stefan Baumgärtner,et al. An axiomatic approach to decision under Knightian uncertainty , 2013 .
[13] E. Scheinerman,et al. Fractional Graph Theory: A Rational Approach to the Theory of Graphs , 1997 .
[14] László Lovász,et al. On the Shannon capacity of a graph , 1979, IEEE Trans. Inf. Theory.
[15] David E. Roberson,et al. Quantum homomorphisms , 2016, J. Comb. Theory, Ser. B.
[16] Mark Tomforde,et al. Vector Spaces with an Order Unit , 2007, 0712.2613.
[17] Masaru Shirahata,et al. A sequent calculus for compact closed categories , 2000 .
[18] A. M. Murray. The strong perfect graph theorem , 2019, 100 Years of Math Milestones.
[19] J. Neumann,et al. Theory of games and economic behavior , 1945, 100 Years of Math Milestones.
[20] Nicole Yunger Halpern,et al. The resource theory of informational nonequilibrium in thermodynamics , 2013, 1309.6586.
[21] David E. Roberson,et al. Variations on a Theme: Graph Homomorphisms , 2013 .
[22] V. Kandarpa. On Commutative Δ-Semigroups , 2016 .
[23] R. Spekkens,et al. The theory of manipulations of pure state asymmetry: I. Basic tools, equivalence classes and single copy transformations , 2011, 1104.0018.
[24] Everett W. Howe. A New Proof of Erdos's Theorem on Monotone Multiplicative Functions , 1986 .
[25] K. Goodearl. Partially ordered abelian groups with interpolation , 1986 .
[26] F. William Lawvere,et al. Metric spaces, generalized logic, and closed categories , 1973 .
[27] O. Nakada,et al. PARTIALLY ORDERED ABELIAN SEMIGROUPS I. ON THE EXTENSION OF THE STRONG PARTIAL ORDER DEFINED ON ABELIAN SEMIGROUPS , 1951 .
[28] Tim Netzer,et al. Closures of quadratic modules , 2009, 0904.1468.
[29] G. Vidal. On the characterization of entanglement , 1998 .
[30] S. Semmes. Topological Vector Spaces , 2003 .
[31] Syed M. Fakhruddin. Absolute flatness and amalgams in pomonoids , 1986 .
[32] Martin Feinberg,et al. Thermodynamics based on the Hahn-Banach Theorem: The Clausius inequality , 1983 .
[33] N. Datta,et al. The apex of the family tree of protocols: optimal rates and resource inequalities , 2011, 1103.1135.
[34] Elliott H. Lieb,et al. The Mathematical Structure of the Second Law of Thermodynamics , 2001 .
[35] A. Pultr,et al. Combinatorial, algebraic, and topological representations of groups, semigroups, and categories , 1980 .
[36] B. Blackadar,et al. K-Theory for Operator Algebras , 1986 .
[37] Adam Paszkiewicz,et al. On quantum information , 2012, ArXiv.
[38] C. E. SHANNON,et al. A mathematical theory of communication , 1948, MOCO.
[39] G. Nemhauser,et al. Wiley‐Interscience Series in Discrete Mathematics and Optimization , 2014 .
[40] Andreas J. Winter,et al. A Resource Framework for Quantum Shannon Theory , 2008, IEEE Transactions on Information Theory.
[41] F. Brandão,et al. Resource theory of quantum states out of thermal equilibrium. , 2011, Physical review letters.
[42] C. Berge. Fractional Graph Theory , 1978 .
[43] David E. Roberson,et al. Bounds on Entanglement Assisted Source-channel Coding Via the Lovász Theta Number and Its Variants , 2014, TQC.
[44] George A. Elliott,et al. K-theory , 1999 .
[45] Everett W. Howe. A new proof of Erdo¨s's theorem on monotone , 1986 .
[46] A. Winter,et al. The mother of all protocols: restructuring quantum information’s family tree , 2006, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[47] A. Harrow. Entanglement spread and clean resource inequalities , 2009, 0909.1557.
[48] M. Klimesh. Inequalities that Collectively Completely Characterize the Catalytic Majorization Relation , 2007, 0709.3680.
[49] David N. Yetter,et al. FROBENIUS ALGEBRAS AND 2D TOPOLOGICAL QUANTUM FIELD THEORIES (London Mathematical Society Student Texts 59) , 2004 .
[50] Sang Joon Kim,et al. A Mathematical Theory of Communication , 2006 .
[51] E. Lieb,et al. Entropy meters and the entropy of non-extensive systems , 2014, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[52] Claude E. Shannon,et al. The mathematical theory of communication , 1950 .
[53] Debbie W. Leung,et al. Zero-Error Channel Capacity and Simulation Assisted by Non-Local Correlations , 2010, IEEE Transactions on Information Theory.
[54] Dominic R. Verity,et al. Traced monoidal categories , 1996, Mathematical Proceedings of the Cambridge Philosophical Society.
[55] David E. Roberson,et al. Sabidussi versus Hedetniemi for three variations of the chromatic number , 2013, Comb..
[56] M. Darnel. Theory of Lattice-Ordered Groups , 1994 .
[57] J. Golan. Semirings and their applications , 1999 .
[58] Mark M. Wilde,et al. Entanglement-Assisted Communication of Classical and Quantum Information , 2008, IEEE Transactions on Information Theory.
[59] R. Spekkens,et al. Modes of asymmetry: The application of harmonic analysis to symmetric quantum dynamics and quantum reference frames , 2013, 1312.0680.
[60] C. Nadel. Abstract And Concrete Categories The Joy Of Cats , 2016 .
[61] Michal Horodecki,et al. The second laws of quantum thermodynamics , 2013, Proceedings of the National Academy of Sciences.
[62] K. I. Rosenthal. Quantales and their applications , 1990 .
[63] Céline Moreira Dos Santos,et al. Decomposition of strongly separative monoids , 2002 .
[64] D. H. Hyers. Linear topological spaces , 1945 .
[65] Elliott H. Lieb,et al. A Fresh Look at Entropy and the Second Law of Thermodynamics , 2000 .
[66] David E. Roberson,et al. Graph Homomorphisms for Quantum Players , 2014, TQC.
[67] Donald E. Knuth. The Sandwich Theorem , 1994, Electron. J. Comb..
[68] F. Wehrung. Injective positively ordered monoids II , 2005 .
[69] Friedrich Wehrung,et al. Injective positively ordered monoids I , 1992 .
[70] A. J. Jong,et al. Current Developments in Mathematics, 2001 , 2002 .
[71] Robert W. Spekkens,et al. A mathematical theory of resources , 2014, Inf. Comput..
[72] I. Olkin,et al. Inequalities: Theory of Majorization and Its Applications , 1980 .
[73] M. Lewenstein,et al. Quantum Entanglement , 2020, Quantum Mechanics.
[74] Bas Luttik. A Unique Decomposition Theorem for Ordered Monoids with Applications in Process Theory , 2003, MFCS.
[75] D. Janzing,et al. Thermodynamic Cost of Reliability and Low Temperatures: Tightening Landauer's Principle and the Second Law , 2000, quant-ph/0002048.
[76] R. Spekkens,et al. The resource theory of quantum reference frames: manipulations and monotones , 2007, 0711.0043.
[77] James G. Raftery,et al. Corrigendum: Residuation in Commutative Ordered Monoids with Minimal Zero , 2000, Reports Math. Log..
[78] M. Nielsen. Conditions for a Class of Entanglement Transformations , 1998, quant-ph/9811053.
[79] Han Zhang,et al. Order Algebras as Models of Linear Logic , 2004, Stud Logica.
[80] A. M. W. Glass,et al. Partially Ordered Groups , 1999 .
[81] W. Imrich,et al. Product Graphs: Structure and Recognition , 2000 .
[82] Guifre Vidal. Entanglement monotones , 1998, quant-ph/9807077.
[83] André Thess. The Entropy Principle , 2011 .
[84] David Deutsch,et al. Constructor theory of information , 2014, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[85] Roberto Grossi,et al. Mathematical Foundations Of Computer Science 2003 , 2003 .
[86] G. M. Kelly,et al. BASIC CONCEPTS OF ENRICHED CATEGORY THEORY , 2022, Elements of ∞-Category Theory.
[87] Claude E. Shannon,et al. The zero error capacity of a noisy channel , 1956, IRE Trans. Inf. Theory.
[88] Charles H. Bennett,et al. Purification of noisy entanglement and faithful teleportation via noisy channels. , 1995, Physical review letters.
[89] Stephen M. Barnett,et al. Quantum information , 2005, Acta Physica Polonica A.
[90] R. Tourky,et al. Cones and duality , 2007 .
[91] Axel Poigné,et al. Basic category theory , 1993, LICS 1993.
[92] Mark M. Wilde,et al. Trading classical communication, quantum communication, and entanglement in quantum Shannon theory , 2009, IEEE Transactions on Information Theory.
[93] Niovi Kehayopulu,et al. On Separative Ordered Semigroups , 1998 .
[94] David Deutsch. Constructor theory , 2013, Synthese.
[95] Yuan Feng,et al. Multiple-copy entanglement transformation and entanglement catalysis , 2004, quant-ph/0404148.
[96] E. Lieb,et al. The physics and mathematics of the second law of thermodynamics (Physics Reports 310 (1999) 1–96)☆ , 1997, cond-mat/9708200.
[97] Joachim Kock,et al. Frobenius Algebras and 2-D Topological Quantum Field Theories , 2004 .
[98] Patrick Lincoln,et al. Linear logic , 1992, SIGA.
[99] M. Horodecki,et al. Reversible transformations from pure to mixed states and the unique measure of information , 2002, quant-ph/0212019.
[100] David E. Roberson,et al. Bounds on Entanglement-Assisted Source-Channel Coding via the Lovász \(\vartheta \) Number and Its Variants , 2013, IEEE Transactions on Information Theory.
[101] Charles H. Bennett,et al. Concentrating partial entanglement by local operations. , 1995, Physical review. A, Atomic, molecular, and optical physics.
[102] Andreas J. Winter,et al. The Quantum Reverse Shannon Theorem and Resource Tradeoffs for Simulating Quantum Channels , 2009, IEEE Transactions on Information Theory.
[103] R. Archbold. AN INTRODUCTION TO K-THEORY FOR C*-ALGEBRAS (London Mathematical Society Student Texts 49) By M. RØRDAM, F. LARSEN and N. LAUSTSEN: 242 pp., £16.95 (LMS members' price £12.71), ISBN 0-521-78944-3 (Cambridge University Press, 2000). , 2002 .
[104] Ion Nechita,et al. Catalytic majorization and ` p norms , 2017 .