Duality of quantum coherence and path distinguishability

被引:232
作者
Bera, Manabendra Nath [1 ]
Qureshi, Tabish [2 ]
Siddiqui, Mohd Asad [2 ]
Pati, Arun Kumar [1 ]
机构
[1] Harish Chandra Res Inst, Quantum Informat & Computat Grp, Allahabad 211019, Uttar Pradesh, India
[2] Jamia Millia Islamia, Ctr Theoret Phys, New Delhi 110025, India
来源
PHYSICAL REVIEW A | 2015年 / 92卷 / 01期
关键词
WAVE-PARTICLE DUALITY; DELAYED-CHOICE EXPERIMENT; WHICH-WAY INFORMATION; UNAMBIGUOUS DISCRIMINATION; SUCCESS PROBABILITY; FRINGE VISIBILITY; STATES; COMPLEMENTARITY; INTERFEROMETER; DIFFERENTIATE;
D O I
10.1103/PhysRevA.92.012118
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We derive a generalized wave-particle duality relation for arbitrary multipath quantum interference phenomena. Beyond the conventional notion of the wave nature of a quantum system, i.e., the interference fringe visibility, we introduce a quantifier as the normalized quantum coherence, recently defined in the framework of quantum information theory. To witness the particle nature, we quantify the path distinguishability or the which-path information based on unambiguous quantum state discrimination. Then, the Bohr complementarity principle for multipath quantum interference can be stated as a duality relation between the quantum coherence and the path distinguishability. For two-path interference, the quantum coherence is identical to the interference fringe visibility, and the relation reduces to the well-known complementarity relation. The duality relation continues to hold in the case where mixedness is introduced due to possible decoherence effects.
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页数:6
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