###### Abstract  
Based on the chaotic polarization system of optically injected cascaded vertical-cavity surface-emitting lasers (VCSELs), we propose a novel implementation scheme for high-speed optical chaotic data selection logic operations. Under the condition where the slave VCSEL (S-VCSEL) outputs a chaotic laser signal, we calculate the range of the applied electric field and the optical injection amplitude. We also investigate the evolution of the correlation characteristics between the polarized light output from the periodic poled LiNbO3 (PPLN) and the S-VCSEL as a function of the optical injection amplitude under different applied electric fields. Furthermore, we analyze the polarization bistability of the polarized light from the PPLN and S-VCSEL. Based on these results, we modulate the optical injection amplitude as the logic input and the applied electric field as the control logic signal. Using a mean comparison mechanism, we demodulate the polarized light from the PPLN and S-VCSEL to obtain two identical logic outputs, achieving optical chaotic data selection logic operations with an operation speed of approximately 114 Gb/s. Finally, we investigate the influence of noise on the logic outputs and find that both logic outputs do not show any error symbols under the noise strength as high as 180 dBw. The anti-noise performance of logic output \(O_{1}\) is superior to that of optical chaotic logic output \(O_{2}\). For noise strengths up to 185 dBw, error symbols in \(O_{2}\) can be detected and corrected by comparison with \(O_{1}\). chaotic; data selection; polarization bistability; vertical-cavity surface-emitting laser 2024 11 5  
injection or optical feedback, they easily generate chaotic x-PC and chaotic y-PC which are orthogonal to each other [12; 13; 14; 15; 16; 17; 18; 19; 20; 21]. The dynamic behaviors such as polarization switching and polarization bistability in VCSELs can be induced by changing the pump current, the strength of the injected light or the detuning of the injected light [22; 23; 24; 25; 26]. Therefore, based on the high-dimensional chaotic system of VCSELs, optical chaotic logic operations with different functions can be designed and implemented by using its rich polarization modes. In recent years, research in chaos computing has primarily focused on nanosecond-scale basic computations, with very few studies at the picosecond scale. For example, based on a VCSEL with tunable optical injection and polarization bistability, [PERSON] et al. implemented an all-optical stochastic logic gate [9; 10; 11]. Based on electro-optic (EO) modulation theory and the VCSEL subjected to external optical injection, [PERSON] et al. achieved optoelectronic composite logic gates such as AND, NAND, OR, NOR, XOR and XNOR [25]. Based on chaos synchronization theory, [PERSON] implemented all-optical logic gates [12]. Our previous works focused on reconfigurable chaotic logic operations [27; 28]. The above implementation of chaotic logic gates almost lacks error detection and correction capabilities. However, the development of more complex combinational chaotic logic operations, such as optical chaotic data selection, is still relatively lagging behind, and few people pay attention to it. In 2019, using the polarization bistability in a VCSEL injected by a sampled grating distributed Bragg reflector laser, [PERSON] et al. first implemented picosecond-level optical chaotic data selection logic operations, and the operation speed was up to 10 Gb/s [29]. In [PERSON]'s scheme, the main reasons limiting the operational speed and noise resistance are twofold: insufficient mutual inhibition between x-PC and y-PC and the poor capability of the threshold demodulation mechanism for short bit durations. In the presence of significant noise, logic outputs may produce errors, but the scheme does not provide appropriate error detection and correction methods.