The capacity to manipulate LC (liquid crystals) defects with electric fields enables the creation of fundamental quantum gates. Manipulating the direction of the nematic director field allows for single-qubit gates such as the Pauli-X, Pauli-Y, and Hadamard gates. Furthermore, multi-nbit designs have been demonstrated to implement universal classical logic gates such as NOR and NAND, as well as more complicated continuous logic functions . Kos and Dunkel's research demonstrated that nbit states can be manipulated along paths on the Poincaré Bloch sphere using electric field techniques. This capability is crucial for developing quantum circuits that demand the management of qubit states and their interactions. Various forms of quantum gates have been created with crystals by leveraging their birefringence. These gates consist of the Pauli X, Y, and Z gates for quantum computing. To achieve the targeted phase adjustment or polarization modification, LC molecules are typically aligned in a manner . One prominent example is the tristate Pauli gate, which employs liquid crystals to encode information in three states rather than the typical two. This boosted encoding is accomplished via wavelength encoding techniques, in which the states of the signals are determined by their wavelength. This method overcomes the constraints of phase encoding, which is susceptible to disturbances that might alter the phase and, hence, the information . Finite Difference Time Domain (FDTD) methods are commonly employed to replicate circuit performance. Through simulations, it is demonstrated that these circuits can handle signals concurrently with loss and rapid response times. As an illustration, the integrated tristate Pauli Y gate circuit is designed to execute four operations representing the gate matrices Y1, Y2, Y3, and Y4. Each output exhibits phase shifts as necessitated by quantum algorithms . Incorporating quantum gates into circuits is crucial to building quantum computing systems. Scientists have managed to design and model circuits that utilize state Pauli X, Y, and Z gates made from liquid crystal. These circuits are built using two crystals, offering a streamlined and effective medium for transmitting signals . Finite Difference Time Domain (FDTD) methods are frequently employed to replicate circuit functioning. The simulations indicate that these circuits can handle signals simultaneously with loss and quick response times. For instance, the integrated tristate Pauli Y gate circuit is structured to execute four operations linked to the gate matrices Y1, Y2, Y3, and Y4. Each output showcases a unique phase shift in line with the needs of quantum algorithms .