(QUANTUMNESS IN THE CONTEXT OF) RESOURCE THEORIES

被引:229
作者
Horodecki, Michal [1 ,2 ]
Oppenheim, Jonathan [3 ]
机构
[1] Univ Gdansk, Inst Theoret Phys & Astrophys, PL-80952 Gdansk, Poland
[2] Natl Quantum Informat Ctr Gdansk, Sopot, Poland
[3] UCL, Dept Phys & Astron, London, England
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2013年 / 27卷 / 1-3期
关键词
Resource theories; entanglement; thermodynamics; noisy operations; discord; deficit; 2ND LAW; ENTANGLEMENT; THERMODYNAMICS; PURIFICATION;
D O I
10.1142/S0217979213450197
中图分类号
O59 [应用物理学];
学科分类号
摘要
We review the basic idea behind resource theories, where we quantify quantum resources by specifying a restricted class of operations. This divides the state space into various sets, including states which are free (because they can be created under the class of operations), and those which are a resource (because they cannot be). One can quantify the worth of the resource by the relative entropy distance to the set of free states, and under certain conditions, this is a unique measure which quantifies the rate of state to state transitions. The framework includes entanglement, asymmetry and purity theory. It also includes thermodynamics, which is a hybrid resource theory combining purity theory and asymmetry. Another hybrid resource theory which merges purity theory and entanglement can be used to study quantumness of correlations and discord, and we present quantumness in this more general framework of resource theories.
引用
收藏
页数:17
相关论文
共 50 条
[21]   Operational Interpretation of Weight-Based Resource Quantifiers in Convex Quantum Resource Theories [J].
Ducuara, Andres F. ;
Skrzypczyk, Paul .
PHYSICAL REVIEW LETTERS, 2020, 125 (11)
[22]   Broadcast Copies Reveal the Quantumness of Correlations [J].
Piani, M. ;
Christandl, M. ;
Mora, C. E. ;
Horodecki, P. .
PHYSICAL REVIEW LETTERS, 2009, 102 (25)
[23]   Relative submajorization and its use in quantum resource theories [J].
Renes, Joseph M. .
JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (12)
[24]   Fundamental limitations on photoisomerization from thermodynamic resource theories [J].
Halpern, Nicole Yunger ;
Limmer, David T. .
PHYSICAL REVIEW A, 2020, 101 (04)
[25]   Quantumness near a Schwarzschild black hole [J].
Haddadi, S. ;
Yurischev, M. A. ;
Abd-Rabbou, M. Y. ;
Azizi, M. ;
Pourkarimi, M. R. ;
Ghominejad, M. .
EUROPEAN PHYSICAL JOURNAL C, 2024, 84 (01)
[26]   Quantumness of correlations and Maxwell's demons in elementary scattering processes-Energetic consequences [J].
Chatzidimitriou-Dreismann, C. A. ;
Dreismann, A. .
SYMMETRIES IN SCIENCE XVI, 2014, 538
[27]   Quantumness in light harvesting is determined by vibrational dynamics [J].
Reppert, Mike ;
Brumer, Paul .
JOURNAL OF CHEMICAL PHYSICS, 2018, 149 (23)
[28]   Thermodynamics of materials with internal variables in the context of the Green and Naghdi theories [J].
Ciancio, V. ;
Quintanilla, R. .
BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS, 2007, 12 (01) :16-31
[29]   Resource engines [J].
Wojewodka-Sciazko, Hanna ;
Puchala, Zbigniew ;
Korzekwa, Kamil .
QUANTUM, 2024, 8
[30]   Unification of quantum and classical correlations and quantumness measures [J].
Modi, Kavan ;
Vedral, Vlatko .
75 YEARS OF QUANTUM ENTANGLEMENT: FOUNDATIONS AND INFORMATION THEORETIC APPLICATIONS, 2011, 1384 :69-75