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Interactions of quantum systems with their environment play a crucial role in resource-theoretic approaches to thermodynamics in the microscopic regime.
W. Nernst, Sitzungsbericht der Königlich Preussischen Akademie der Wissenschaften, p. 134 (1912)
1912
Earlier work this paper cites.
R. Fowler and E. A. Guggenheim, Statistical Thermodynamics , Cambridge University Press, Cambridge, 1949
1949
Earlier work this paper cites.
A. Horn, Doubly stochastic matrices and the diagonal of a rotation matrix , Amer. J. Math. 76
1954
Earlier work this paper cites.
E. M. Loebl, The Third Law of Thermodynamics, the Unattainability of Absolute Zero, and Quantum Mechanics , J. Chem. Educ. 37
1960
Earlier work this paper cites.
E. Ruch and A. Mead, The principle of increasing mixing character and some of its consequences , Theoret. Chim. Acta (Berl.) 41
1976
Earlier work this paper cites.
R. Ruch, R. Schranner, and T. H. Seligman, The mixing distance , J. Chem. Phys. 69
1978
Earlier work this paper cites.
E. Ruch, R. Schranner, and T. H. Seligman, Generalization of a Theorem by Hardy, Littlewood, and Pólya , J. Math. Anal. Appl. 76
1980
Earlier work this paper cites.
R. Webster, Convexity , Oxford University Press, Oxford, 1994
1994
Earlier work this paper cites.
R. Bhatia, Matrix Analysis , Springer Verlag, New York, 1997
1997
Earlier work this paper cites.
D. Janzing, P. Wocjan, R. Zeier, R. Geiss, and Th. Beth, Thermodynamic Cost of Reliability and Low Temperatures: Tightening Landauer’s Principle and the Second Law , Int. J. Theor. Phys. 39
2000
Earlier work this paper cites.
M. Horodecki, P. Horodecki, and J. Oppenheim, Reversible transformations from pure to mixed states and the unique measure of information , Phys. Rev. A 67
2003
Earlier work this paper cites.
K. Życzkowski and I. Bengtsson, On Duality between Quantum Maps and Quantum States , Open Syst. Inf. Dyn. 11
2004
Earlier work this paper cites.
S. Daftuar and P. Hayden, Quantum state transformations and the Schubert calculus , Ann. Phys. 315
2005
Earlier work this paper cites.
I. Bengtsson and K. Życzkowski, Geometry of Quantum States , Cambridge University Press, Cambridge, 2006
2006
Earlier work this paper cites.
R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Quantum entanglement , Rev. Mod. Phys. 81
2009
Earlier work this paper cites.
P. Shor, Structure of Unital Maps and the Asymptotic Quantum Birkhoff Conjecture , presentation, slides at http://science-visits.mccme.ru/doc/steklov-talk.pdf , 2010
2010
Earlier work this paper cites.
O. C. O. Dahlsten, R. Renner, E. Rieper, and V. Vedral, Inadequacy of von Neumann entropy for characterizing extractable work , New J. Phys. 13
2011
Earlier work this paper cites.
L. del Rio, J. Åberg, R. Renner, O. C. O. Dahlsten, and V. Vedral, The thermodynamic meaning of negative entropy , Nature 474
2011
Cited alongside, same era.
A. W. Marshall, I. Olkin, and B. C. Arnold, Inequalities: Theory of Majorization and Its Applications , Springer Verlag, New York, 2011
2011
Cited alongside, same era.
U. Haagerup and M. Musat, Factorization and dilation problems for completely positive maps on von Neumann algebras , Commun. Math. Phys. 303
2011
Cited alongside, same era.
A. E. Allahverdyan, K. V. Hovhannisyan, D. Janzing, and G. Mahler, Thermodynamic limits of dynamic cooling , Phys. Rev. E 84
2011
Cited alongside, same era.
M. Horodecki and J. Oppenheim, Fundamental limitations for quantum and nanoscale thermodynamics , Nat. Comm. 4
2013
Cited alongside, same era.
N. Yunger Halpern, A. J. P. Garner, O. C. O. Dahlsten, and V. Vedral, Introducing one-shot work into fluctuation relations , New J. Phys. 17
2015
Later among the works it cites.
D. Egloff, O. C. O. Dahlsten, R. Renner, and V. Vedral, A measure of majorization emerging from single-shot statistical mechanics , New J. Phys. 17
2015
Later among the works it cites.
M. Lostaglio, M. P. Müller, and M. Pastena, Stochastic independence as a resource in small-scale thermodynamics , Phys. Rev. Lett. 115
2015
Later among the works it cites.
J. Gemmer and J. Anders, From single-shot towards general work extraction in a quantum thermodynamic framework , New J. Phys. 17
2015
Later among the works it cites.
M. Lostaglio, D. Jennings, and T. Rudolph, Description of quantum coherence in thermodynamic processes requires constraints beyond free energy , Nat. Comm. 6
2015
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F. G. S. L. Brandão, M. Horodecki, J. Oppenheim, J. M. Renes, and R. W. Spekkens, Resource Theory of Quantum States Out of Thermal Equilibrium , Phys. Rev. Lett. 111
2013
Cited alongside, same era.
J. Åberg, Truly work-like work extraction via a single-shot analysis , Nat. Comm. 4
2013
Cited alongside, same era.
M. Musz, M. Kuś, and K. Życzkowski, Unitary quantum gates, perfect entanglers, and unistochastic maps , Phys. Rev. A 87
2013
Cited alongside, same era.
L.-A. Wu, D. Segal, and P. Brumer, No-go theorem for ground state cooling given initial system-thermal bath factorization , Sci. Rep. 3
2013
Cited alongside, same era.
P. Skrzypczyk, A. J. Short, and S. Popescu, Work extraction and thermodynamics for individual quantum systems , Nat. Comm. 5
2014
Cited alongside, same era.
J. M. Renes, Work cost of thermal operations in quantum thermodynamics , Eur. Phys. J. Plus 129
2014
Cited alongside, same era.
C. Browne, A. J. P. Garner, O. C. O. Dahlsten, and V. Vedral, Guaranteed Energy-Efficient Bit Reset in Finite Time , Phys. Rev. Lett. 113
2014
Cited alongside, same era.
Later among the works it cites.
M. Lostaglio, K. Korzekwa, D. Jennings, and T. Rudolph, Quantum Coherence, Time-Translation Symmetry, and Thermodynamics , Phys. Rev. X 5
2015
Later among the works it cites.
P. Ćwikliński, M. Studziński, M. Horodecki, and J. Oppenheim, Limitations on the Evolution of Quantum Coherences: Towards Fully Quantum Second Laws of Thermodynamics , Phys. Rev. Lett. 115
2015
Later among the works it cites.
F. G. S. L. Brandão and G. Gour, Reversible Framework for Quantum Resource Theories , Phys. Rev. Lett. 115
2015
Later among the works it cites.
G. Gour, M. P. Müller, V. Narasimhachar, R. W. Spekkens, and N. Yunger Halpern, The resource theory of informational nonequilibrium in thermodynamics , Phys. Rep. 583
2015
Later among the works it cites.
P. Faist, J. Oppenheim, and R. Renner, Gibbs-preserving maps outperform thermal operations in the quantum regime , New J. Phys. 17
2015
Later among the works it cites.
N. H. Y. Ng, M. Mančinska, C. Cirstoiu, J. Eisert, and S. Wehner, Limits to catalysis in quantum thermodynamics , New J. Phys. 17
2015
Later among the works it cites.
J. Scharlau, The resource theories of non-uniformity and athermality: State transitions with finite size environments , Master thesis, Heidelberg University, 2015
2015
Later among the works it cites.
Y. Guryanova, S. Popescu, A. J. Short, R. Silva, and P. Skrzypczyk, Thermodynamics of quantum systems with multiple conserved quantities , Nat. Comm. 7
2016
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K. Korzekwa, M. Lostaglio, J. Oppenheim, and D. Jennings, The extraction of work from quantum coherence , New J. Phys. 18
2016
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B. Coecke, T. Fritz, and R. W. Spekkens, A mathematical theory of resources , Information and Computation 250
2016
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Ll. Masanes and J. Oppenheim, A general derivation and quantification of the third law of thermodynamics , Nat. Comm. 8
2017
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M. Vergne and M. Walter, Inequalities for Moment Cones of Finite-Dimensional Representations , Journal of Symplectic Geometry 15
2017
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