Resource Destroying Maps

被引:112
作者
Liu, Zi-Wen [1 ,2 ]
Hu, Xueyuan [3 ,4 ]
Lloyd, Seth [5 ]
机构
[1] MIT, Ctr Phys Theor, Cambridge, MA 02139 USA
[2] MIT, Dept Phys, Cambridge, MA 02139 USA
[3] Shandong Univ, Sch Informat Sci & Engn, Jinan 250100, Peoples R China
[4] Shandong Univ, Shandong Prov Key Lab Laser Technol & Applicat, Jinan 250100, Peoples R China
[5] MIT, Dept Mech Engn, Cambridge, MA 02139 USA
关键词
QUANTUM DISCORD;
D O I
10.1103/PhysRevLett.118.060502
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Resource theory is a widely applicable framework for analyzing the physical resources required for given tasks, such as computation, communication, and energy extraction. In this Letter, we propose a general scheme for analyzing resource theories based on resource destroying maps, which leave resource-free states unchanged but erase the resource stored in all other states. We introduce a group of general conditions that determine whether a quantum operation exhibits typical resource-free properties in relation to a given resource destroying map. Our theory reveals fundamental connections among basic elements of resource theories, in particular, free states, free operations, and resource measures. In particular, we define a class of simple resource measures that can be calculated without optimization, and that are monotone nonincreasing under operations that commute with the resource destroying map. We apply our theory to the resources of coherence and quantum correlations (e.g., discord), two prominent features of nonclassicality.
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页数:6
相关论文
共 52 条
[1]   Measures and applications of quantum correlations [J].
Adesso, Gerardo ;
Bromley, Thomas R. ;
Cianciaruso, Marco .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2016, 49 (47)
[2]   Reference frames, superselection rules, and quantum information [J].
Bartlett, Stephen D. ;
Rudolph, Terry ;
Spekkens, Robert W. .
REVIEWS OF MODERN PHYSICS, 2007, 79 (02) :555-609
[3]   Quantifying Coherence [J].
Baumgratz, T. ;
Cramer, M. ;
Plenio, M. B. .
PHYSICAL REVIEW LETTERS, 2014, 113 (14)
[4]   Reversible Framework for Quantum Resource Theories [J].
Brandao, Fernando G. S. L. ;
Gour, Gilad .
PHYSICAL REVIEW LETTERS, 2015, 115 (07)
[5]   Resource Theory of Quantum States Out of Thermal Equilibrium [J].
Brandao, Fernando G. S. L. ;
Horodecki, Michal ;
Oppenheim, Jonathan ;
Renes, Joseph M. ;
Spekkens, Robert W. .
PHYSICAL REVIEW LETTERS, 2013, 111 (25)
[6]  
Brodutch A, 2012, QUANTUM INF COMPUT, V12, P721
[7]   Quantum discord, local operations, and Maxwell's demons [J].
Brodutch, Aharon ;
Terno, Daniel R. .
PHYSICAL REVIEW A, 2010, 81 (06)
[8]  
Bromley T. R., ARXIV161007504
[9]   Compromise between neutrino masses and collider signatures in the type-II seesaw model [J].
Chao, Wei ;
Luo, Shu ;
Xing, Zhi-zhong ;
Zhou, Shun .
PHYSICAL REVIEW D, 2008, 77 (01)
[10]   Critical Examination of Incoherent Operations and a Physically Consistent Resource Theory of Quantum Coherence [J].
Chitambar, Eric ;
Gour, Gilad .
PHYSICAL REVIEW LETTERS, 2016, 117 (03)