Author Affiliations
1Key Laboratory of Advanced Transducers and Intelligent Control System, Ministry of Education, College of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024, Shanxi, China2State Key Laboratory of Cryptology, Beijing 100878, Chinashow less
Fig. 1. Schematic of experimental setup for precisely reconstructing Wigner quasi-probability distribution of chaotic lasers through maximum likelihood method
Fig. 2. Sequence, spectrum and autocorrelation diagrams of chaotic lasers measured under different and . (a1)-(a3) 1.5Ith,0.2; (b1)-(b3) 2.5Ith,0.043; (c1)-(c3) 2.5Ith,0.079
Fig. 3. Measured fluctuation results of quadrature components between chaotic lasers in different states and shot noise limits in vacuum state. (a) QCL with 3.2 GHz bandwidth ; (b) MCL with 7.3 GHz bandwidth ; (c) CCL with 11.5 GHz bandwidth
Fig. 4. Experimental reconstruction results of chaotic laser. (a1)-(a3) QCL with 3.2 GHz bandwidth; (b1)-(b3) MCL with 7.3 GHz bandwidth; (c1)-(c3) CCL with 11.5 GHz bandwidth
Fig. 5. Reconstructed diagonal element distributions of density matrixes before and after removing background noise.(a1)-(b1)QCL with 3.2 GHz bandwidth;(a2)-(b2)MCL with 7.3 GHz bandwidth;(a3)-(b3)CCL with 11.5 GHz bandwidth
Fig. 6. Fidelity of Wigner quasi-probability distribution versus mean photon number for QCL,MCL,and CCL before and after considering system loss and background noise.(a)Before considering system loss and background noise;(b)after considering system loss and background noise
Laser | n=0 | n=1 | n=2 | n=3 | n=4 | n=5 | n=6 | n=7 | n=8 | n=9 | n=10 |
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QCL | 0.26 | 0.35 | 0.19 | 0.13 | 0.04 | 0.01 | 0.01 | 0.01 | 0 | 0 | 0 | MCL | 0.07 | 0.18 | 0.22 | 0.25 | 0.18 | 0.04 | 0.03 | 0.02 | 0.01 | 0 | 0 | CCL | 0.05 | 0.09 | 0.21 | 0.26 | 0.20 | 0.15 | 0.02 | 0.01 | 0.01 | 0 | 0 |
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Table 1. Measured diagonal elements of density matrixes for QCL, MCL,and CCL
Laser | n=0 | n=1 | n=2 | n=3 | n=4 | n=5 | n=6 | n=7 | n=8 | n=9 | n=10 |
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QCL | 0.24 | 0.34 | 0.19 | 0.14 | 0.05 | 0.02 | 0.01 | 0.01 | 0 | 0 | 0 | MCL | 0.07 | 0.19 | 0.22 | 0.25 | 0.16 | 0.06 | 0.03 | 0.02 | 0.01 | 0 | 0 | CCL | 0.05 | 0.09 | 0.20 | 0.26 | 0.21 | 0.12 | 0.05 | 0.01 | 0.01 | 0 | 0 |
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Table 2. Measured diagonal elements of density matrixes for QCL, MCL,and CCL after removing background noise