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IEEE International Conference on Electro Information Technology

An approach to realize a quantum NOT gate through optical implementation

Shihan Sajeed, Z. H. Mozumder, Alauddin Ahmed, Saeed Mahmud Ullah, Sabahat Rafique

Published May 1, 2010• 0 citations
Publisher

Abstract

Transverse modes of electromagnetic fields are proposed to be encoded as qubits for the implementation of a quantum NOT gate. The possibility of this encoding scheme was designed, simulated and verified through rigorous numerical analyses using the Beam propagation method. The proposed gate has the potential of being more compact and easily realizable than some other optical implementation proposals since it is based on planar light wave circuit technology and can be constructed very easily by using a planar light wave technology. The Results proved that the design is able to perform the required NOT transformation and the conclusion was reached that the model was a successful implementation of a quantum NOT gate.

DOI
10.1109/eit.2010.5612117

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Transverse modes of electromagnetic fields are proposed to be encoded as qubits for the implementation of a quantum NOT gate. The possibility of this encoding scheme was designed, simulated and verified through rigorous numerical analyses using the Beam propagation method. The proposed gate has the potential of being more compact and easily realizable than some other optical implementation proposals since it is based on planar light wave circuit technology and can be constructed very easily by using a planar light wave technology. The Results proved that the design is able to perform the required NOT transformation and the conclusion was reached that the model was a successful implementation of a quantum NOT gate.
Transverse modes of optical fields are proposed to be used as qubits for the implementation of quantum Hadamard gate. Mach-Zehnder Interferometer (MZI), phase shifter, y-junction beam splitters and other optical devices are utilized to realize a quantum Hadamard gate. The possibility of this encoding scheme was designed, simulated and verified through rigorous numerical analyses using the Beam propagation method. The proposed gate has the potential of being more compact and easily realizable than some other optical implementation proposals since it is based on planar light wave circuit technology and can be constructed very easily by using a Mach-Zehnder Interferometer. The Results proved that the design is able to perform the required Hadamard transformation and the conclusion was reached that the model was a successful implementation of a quantum Hadamard gate.
A fully optical method to perform quantum computation with transverse modes of the optical field propagating in waveguide is proposed by supplying the prescriptions for a universal set of quantum gates. The proposal for quantum computation is based on implementing a quantum bit with two normal modes of multi-mode waveguides. The proposed C-NOT gate has the potential of being more compact and easily realized than some optical implementations, since it is based on planar lightwave circuit technology and can be constructed by using Mach-Zehnder interferometer having semiconductor optical amplifiers with very large refractive nonlinearity in its arms.
A fully optical method to perform quantum computation with transverse modes of the optical field propagating in waveguide is proposed by supplying the prescriptions for a universal set of quantum gates. The proposal for quantum computation is based on implementing a quantum bit with two normal modes of multi-mode waveguides. The proposed C-NOT gate has the potential of being more compact and easily realized than some optical implementations, since it is based on planar lightwave circuit technology and can be constructed by using Mach-Zehnder interferometer having semiconductor optical amplifiers with very large refractive nonlinearitv in its arms.
A fully optical method to perform any quantum computation with optical waveguide modes is proposed by supplying the prescriptions for a universal set of quantum gates. The proposal for quantum computation is based on implementing a quantum bit with two normal modes of multi-mode waveguides. The proposed universal set of gates has the potential of being more compact and easily realized than other optical implementations, since it is based on planar lightwave circuit technology and can be constructed by using Mach-Zehnder interferometer configurations having semiconductor optical amplifiers with very high refractive nonlinearity in its arms.
Abstract: An all optical method has been proposed for quantum Hadamard gate implementation. This quantum gate was realized by using Y-junction beam splitter. Normal modes in waveguides have been used as quantum bit. This all optical gate can be used in quantum computation and communication. The proposed Hadamard gate has potential of being more compact and easily realized compared to other optical implementations. By using planar lightwave circuit in implementation, the width of Y-junction input waveguide, width of each branch, angle of bend and length of bend were obtained 1 micron, 0.75 micron, 45º and 0.75 micron, respectively. By using planar lightwave circuit in implementation, the radius of large air holes and the radius of small holes were obtained 0.2 ands 0.1 micron, respectively. The index of substrate was 1.325. Implementation based on photonic crystal structures and planar lightwave circuit technology was used in integrated optics.
The first section of the work investigates light modes as a means of implementing optical qubits and qudits. The modes considered are polarization mode, path mode, transverse spatial mode, frequency mode, temporal bin-mode and temporal mode. Subsequently, mathematical model of linear optical elements like beam splitters (BS) and phase shifters are deduced and their capability of representing any single qubit optical gate is exposed. Finally Knill, Laflamme and Milburn (KLM) method of using linear optical elements to promote nonlinear operations based on nonlinear (nondeterministic) sign-flip gate (NS) is explained, and designs of two qubits conditional sign flip gate (c-z1/16) and CNOT gate, both based on KLM method, are demonstrated. So, universal set of quantum gates based on linear optics is possible.