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Single-Qubit Quantum Gates Using Magneto-Optic Kerr Effect

Pradeep Kumar K

Published Mar 23, 2012• 0 citations
Publisher

Abstract

We propose the use of magneto-optic Kerr effect (MOKE) to realize single-qubit quantum gates. We consider longitudinal and polar MOKE in reflection geometry in which the magnetic field is parallel to both the plane of incidence and surface of the film. MOKE couples incident TE and TM polarized photons and the Hamiltonian that represents this interaction is isomorphic to that of a canonical two-level quantum system. By varying the phase and amplitude of the magnetic field, we can realize Hadamard, NOT, and arbitrary phase-shift single-qubit quantum gates. The principal advantage is operation with magnetically non-transparent materials.

DOI
10.5281/zenodo.1332913

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We propose the use of magneto-optic Kerr effect (MOKE) to realize single-qubit quantum gates. We consider longitudinal and polar MOKE in reflection geometry in which the magnetic field is parallel to both the plane of incidence and surface of the film. MOKE couples incident TE and TM polarized photons and the Hamiltonian that represents this interaction is isomorphic to that of a canonical two-level quantum system. By varying the phase and amplitude of the magnetic field, we can realize Hadamard, NOT, and arbitrary phase-shift single-qubit quantum gates. The principal advantage is operation with magnetically non-transparent materials.
We show that the optical Kerr effect can be used to construct a quantum phase gate. It is well known from quantum nondemolition techniques that, as two photon field modes pass through a Kerr medium, the phase of each mode will be shifted, and the size of the phase shift will depend on the number of photons in both modes. We discuss the Hamiltonian responsible for this effect and show how this can produce an effective photon-photon interaction which corresponds to the quantum phase gate operating on two qubits each of which is represented by the elliptical polarization of one photon field. We discuss decoherence and losses and suggest some methods for dealing with them.
We propose and analyze a scheme for manipulating the propagation of single-photon pulses with two polarization components in a Rydberg atomic gas via double electromagnetically induced transparency. We show that by storing a gate photon in a Rydberg state, a deep and tunable potential for a photon polarization qubit can be achieved based on the strong Rydberg interaction. We also show that the scheme can be used to realize an all-optical switch in the dissipation regime and generate a large phase shift in the dispersion regime for the photon polarization qubit. Moreover, we demonstrate that such a scheme can be utilized to detect weak magnetic fields. The results reported here are not only beneficial for understanding the quantum optical property of Rydberg atomic gases, but also promising for designing devices for quantum information processing.
We propose and analyze a scheme for manipulating the propagation of single photon pulses with two polarization components in a Rydberg atomic gas via double electromagnetically induced transparency. We show that by storing a gate photon in a Rydberg state a deep and tunable potential for a photon polarization qubit can be achieved based on strong Rydberg interaction. We also show that the scheme can be used to realize all-optical switch in dissipation regime and generate a large phase shift in dispersion regime for the photon polarization qubit. Moreover, we demonstrate that such a scheme can be utilized to detect weak magnetic fields. The results reported here are not only beneficial for understanding the quantum optical property of Rydberg atomic gases, but also promising for designing novel devices for quantum information processing.
This paper presents a study of magneto-optical waveguide logic gates for optical communication systems. Simple logic operations are implemented by modulating photon states in a material through applied magnetic fields. By controlling the magnetic field's amplitude and orientation relative to light propagation, selecting polarizer/analyzer alignment, and configuring waveguides, we designed logic gates including qubit-compatible models that overcome the low coherence times typical of optical qubits. Optical qubits are promising candidates for quantum information processing and data transmission. For cryptographic applications using Vernam encryption, we developed an XOR logic gate simulator based on magneto-optical principles. Experimental validation employed ASCII encoding and text encryption/decryption algorithms, demonstrating successful cryptographic processing of confidential data over fiber-optic lines. The results show that magneto-optical qubit control mechanisms enable modeling diverse waveguide-based logic gates, including a half adder performing parallel XOR and AND operations. These devices facilitate novel information processing and transmission architectures.