Two-Photon Speckle as a Probe of Multi-Dimensional Entanglement

被引:42
作者
Beenakker, C. W. J. [1 ]
Venderbos, J. W. F. [1 ]
van Exter, M. P. [2 ]
机构
[1] Leiden Univ, Inst Lorentz, NL-2300 RA Leiden, Netherlands
[2] Leiden Univ, Huygens Lab, NL-2300 RA Leiden, Netherlands
关键词
INTERFERENCE;
D O I
10.1103/PhysRevLett.102.193601
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We calculate the statistical distribution P(2)(I(2)) of the speckle pattern produced by a photon pair current I(2) transmitted through a random medium, and compare it with the single-photon speckle distribution P(1)(I(1)). We show that the purity of a two-photon density matrix can be directly extracted from the first two moments of P(1) and P(2). A one-to-one relationship is derived between P(1) and P(2) if the photon pair is in an M-dimensional entangled pure state. For M > 1 the single-photon speckle disappears, while the two-photon speckle acquires an exponential distribution.
引用
收藏
页数:4
相关论文
共 24 条
[1]  
Andrews L. C., 2005, SPIE, V2nd, DOI DOI 10.1117/3.626196
[2]  
Dainty J.C., 1984, Laser Speckle and Related Phenomena
[3]  
*EPAPS, EPRLTAO102040922 EPA
[4]   Spontaneous parametric down-conversion: Anisotropical and anomalously strong narrowing of biphoton momentum correlation distributions [J].
Fedorov, M. V. ;
Efremov, M. A. ;
Volkov, P. A. ;
Moreva, E. V. ;
Straupe, S. S. ;
Kulik, S. P. .
PHYSICAL REVIEW A, 2008, 77 (03)
[5]  
Goodman J. W., 2007, Speckle Phenomena in Optics: Theory and Applications
[6]   COMPLEMENTARITY OF ONE-PARTICLE AND 2-PARTICLE INTERFERENCE [J].
JAEGER, G ;
HORNE, MA ;
SHIMONY, A .
PHYSICAL REVIEW A, 1993, 48 (02) :1023-1027
[7]   2 INTERFEROMETRIC COMPLEMENTARITIES [J].
JAEGER, G ;
SHIMONY, A ;
VAIDMAN, L .
PHYSICAL REVIEW A, 1995, 51 (01) :54-67
[8]   Information-theoretic approach to single-particle and two-particle interference in multipath interferometers [J].
Kaszlikowski, D ;
Kwek, LC ;
Zukowski, M ;
Englert, BG .
PHYSICAL REVIEW LETTERS, 2003, 91 (03)
[9]  
Klyshko D., 2018, Photons and Nonlinear Optics
[10]   Measuring entangled qutrits and their use for quantum bit commitment [J].
Langford, NK ;
Dalton, RB ;
Harvey, MD ;
O'Brien, JL ;
Pryde, GJ ;
Gilchrist, A ;
Bartlett, SD ;
White, AG .
PHYSICAL REVIEW LETTERS, 2004, 93 (05) :053601-1