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Days on Diffraction

Quantum gate implementation based on nonlinear optical phenomena

Alexander Trifanov, George P. Miroshnichenko, I. Yu. Popov

Published Jan 1, 2008• 1 citation
OpenAlex

Abstract

The quantum optical gate CCNOT based on five level atomic scheme is discussed. The qubits are encoded by single photon packets polarization. The nonlinear cross Kerr effect is used for getting nonlinear phase shifts in these beams.

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Possible implementation of CNOT and CCNOT gates

I. Yu. Popov, George P. Miroshnichenko, Alexander Trifanov

The quantum optical gate CCNOT based on five level atomic scheme is discussed. The qubits are encoded in polarization properties of three optical beams. The nonlinear cross Kerr effect is used for getting nonlinear phase shifts in these beams. A way of CNOT implementation using coupled double quantum wells is suggested. The device is described in the framework of the model based on the operator extensions theory.

Physics of Particles and Nuclei Letters•Nov 19, 2009•0 citations

Three qubit operation in the five level optical medium

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Possible optical implementation of CCNOT gate based on the M-configuration system of atomic levels is discussed. The semiclassical estimations of summary conditional phase shift for the corresponding Controlled Phase Shift (CPS) operator are got. To this end the nonlinear optical phenomena (such as EIT) connected with resonant interaction of electromagnetic field acting on the four transients of five level atomic system with M-configuration (in stationary operating mode) is investigated. It is shown that the M-scheme may be used for implementation of CCNOT gate.

Days on Diffraction•Jan 1, 2009•0 citations

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Journal of Physics B Atomic Molecular and Optical Physics•Jan 12, 2011•28 citations

Fifth-order nonlinearity and 3-qubit phase gate in a five-level tripod atomic system

Fuli Li, Ying Gu, Lijun Wang +1 more

We first investigate the nonlinear optical response of a five-level tripod atomic system in electromagnetically induced transparency and then propose a 3-qubit phase gate protocol based on the fifth-order nonlinearity. The cross-phase modulation among the three weak fields induced by the fifth-order nonlinearity in electromagnetically induced transparency can produce the phase shift of order π, which can be used to realize the 3-qubit polarization phase gate. This protocol should have potential applications in quantum information processing.

Journal of the Optical Society of America B•Mar 20, 2008•8 citations
Possible optical implementation of CCNOT gate based on the M-configuration system of atomic levels is discussed. The semiclassical estimations of summary conditional phase shift for the corresponding Controlled Phase Shift (CPS) operator are got. To this end the nonlinear optical phenomena (such as EIT) connected with resonant interaction of electromagnetic field acting on the four transients of five level atomic system with M-configuration (in stationary operating mode) is investigated. It is shown that the M-scheme may be used for implementation of CCNOT gate.
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 a protocol to direct implement the two-qubit controlled phase gate with cross-Kerr nonlinearity by using the interference of polarized photons. The protocol is based on optical elements, single polarization photons, cross-Kerr nonlinearity and the conventional photon detectors, which are feasible with existing experimental technology. Compared with Zou's protocol ( Phys. Rev. 2007 A 75 034302), this protocol is to replace the entangled state resources used by Zou with much simpler single-photon resources and has a higher success probability. All these advantages make this protocol more efficient and more convenient than others in the applications in quantum communication.
We first investigate the nonlinear optical response of a five-level tripod atomic system in electromagnetically induced transparency and then propose a 3-qubit phase gate protocol based on the fifth-order nonlinearity. The cross-phase modulation among the three weak fields induced by the fifth-order nonlinearity in electromagnetically induced transparency can produce the phase shift of order π, which can be used to realize the 3-qubit polarization phase gate. This protocol should have potential applications in quantum information processing.