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In this paper, we numerically investigate the behavior of solitons in a Mach–Zehnder interferometer made of dual-core photonic crystal fibers. The goal was to obtain logic gates with modulated information in ON-OFF keying (OOK). We considered ultra-short solitonic pulses propagating throughout the system in two distinct regimes of pump power and obtained the OR and XOR gates with fundamental solitons. In addition, the A→B and A←B Boolean expressions were obtained with high peak power. As these logical expressions were obtained with the same length of the obtained logic gates, they are important and therefore can be used to save space in the design of complex circuits.

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