Negative controlled Fredkin gate circuits with mirrors

Abstract

Data loss is a major problem in conventional circuits. But it cannot happen in reversible circuits. So energy dissipation per bit loss does not happen in this circuit. Also, recovery of input data can be possible in this circuit. Negative controlled Fredkin gate (NCF) is a self-invertible reversible gate. It performs SWAP operation if its control input is logic zero. In this paper, a mechanically controlled mirror-based NCF gate is designed, where the operation is based on the movement of mirrors. To move the mirror from its position electrical signal can be used. Optical signals are used in computational operations. Some complex reversible circuits viz. some logical operations (XOR-XNOR, AND-NAND, OR-NOR), DE-MUX/MUX, switching, and data shifting circuits are also shown in this paper. Quantum realization of the circuit was performed. Also, the matrix calculation was done to find out the operation of the circuit. Optical delay, optical cost, quantum delay, and quantum cost of every proposed design were calculated.

Review on all-optical logic gates: design techniques and classifications – heading toward high-speed optical integrated circuits

“…114 A simple design for all-optical Fredkin gate using mechanically controllable mirrors with feasibility for chip level implementation using MEMS was proposed. 115 All-optical Feynman, Toffoli, Peres, and Feynman double gates were realized using optically controlled bacteriorhodopsin protein-coated microresonators with low power consumption and high Q factor. 116 The design of reversible AO-LGs is an upcoming area requiring wider research owing to its versatile areas of applications.…”

Optical scheme of developing Hamming code-based error detection and correction using Toffoli gates with frequency encoded data

“…Due to destructive interference, no power is delivered at output port-2, and consequently, we obtain full power at output port-1. 19,25 Thus when the pump signal is absent, output port-2 of the PSW is in the "ON" state, and in the presence of the pump signal, it is in the "OFF" state, and the complementary character is found at port-1 of the PSW.…”

“…In a Toffoli gate, three input signals (A, B, C) are mapped with three output signals (P, Q, R) as “P” = “A,” “Q” = “B” and “R”= “AB⊕C.” Several types of reversible logic gates have been proposed using different techniques 14 – 19 In LiNbO3-based devices, as the refractive index of the material is temperature dependent, any fluctuation in temperature disturbs the phase matching condition and, thus, can introduce noise into the communicated data. The main drawback of photonic crystal-based design is that a problem arises in the context of coupling these logic gates to the waveguide and devices.…”