Open AccessJournal Article10.1134/S1547477107020082

Quantum computer elements based on coupled quantum waveguides

Q: What have the authors contributed in "Quantum computer elements based on coupled quantum waveguides" ?

The corresponding systems are described in the paper. The authors do n't discuss here the problem of decoherence, it will be a subject of the following publications.

M. I. Gavrilov, +4 more

- 01 Mar 2007

- Physics of Particles and Nuclei Letters

- Vol. 4, Iss: 2, pp 137-140

TL;DR: In this paper, two different qubits interpretations are described and some single-qubit and two-qubits operations are realized in the framework of these interpretations in the context of quantum waveguides.

Abstract: Possible applications of two weakly coupled quantum waveguides for quantum computation are considered. The approach is based on the resonance phenomena in the system. Two different qubits interpretations are described. Some single-qubit and two-qubits operations are realized in the framework of these interpretations.

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1. What have the authors contributed in "Quantum computer elements based on coupled quantum waveguides" ?

The corresponding systems are described in the paper.. The authors do n't discuss here the problem of decoherence, it will be a subject of the following publications.

Fig. 1. Geometric conˇguration of the system

Fig. 2. CNOT in ®waveguide¯ interpretation

Citations

Journal Article•10.1088/0031-8949/86/03/035003

Two interacting particles in deformed nanolayer: discrete spectrum and particle storage

S. I. Popov, +2 more

- 01 Sep 2012

- Physica Scripta

TL;DR: In this paper, the Hartree method and the finite element method are used to study the particle storage in a nanolayered structure and the relation between the system parameters (interaction intensity-waveguide deformation) ensuring the existence of a non-empty discrete spectrum is studied.

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Journal Article•10.1007/S11128-019-2569-Y

Entanglement transmission through turbulent atmosphere for modes of Gaussian beam

Maria Faleeva, +1 more

- 01 Feb 2020

- Quantum Information Processing

TL;DR: The quality of the entanglement transmission is estimated using the distance between the density matrix and the subspace of non-entangled states, and it is shown that the values of the distances depend on chosen modes numbers.

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Journal Article•10.1134/S0030400X18050077

On Quantitative Determination of the Degree of Independence of Qubit Transformation by a Quantum Gate or Channel

Maria Faleeva, +2 more

- 30 Jun 2018

- Optics and Spectroscopy

TL;DR: In this article, a procedure of calculating the distance from the quantum-gate matrix to the subspace of matrices, which are tensor products of the transformation matrices of qubit subsystems, is proposed.

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•Journal Article•10.17586/2226-1494-2019-19-3-394-401

Modeling of integrated optical quantum search algorithm

E.O. Samsonov, +7 more

- 13 May 2019

- Journal Scientific and Technical Of Info...

TL;DR: A quantum search algorithm model, suitable for integration into a linear optical chip, is presented, and error impact caused by two-qubit operator implementation and directional coupler manufacture imperfection on the algorithm output is studied.

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Journal Article•10.1134/S1547477109070218

Possible implementation of CNOT and CCNOT gates

I.Yu. Popov, +2 more

- 20 Nov 2009

- Physics of Particles and Nuclei Letters

TL;DR: The quantum optical gate CCNOT based on five level atomic scheme is discussed in this paper, where the qubits are encoded in polarization properties of three optical beams and the nonlinear cross Kerr effect is used for getting nonlinear phase shifts in these beams.

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References

•Journal Article•10.1103/PHYSREVA.52.3457

Elementary gates for quantum computation.

Adriano Barenco, +8 more

- 01 Nov 1995

- Physical Review A

TL;DR: U(2) gates are derived, which derive upper and lower bounds on the exact number of elementary gates required to build up a variety of two- and three-bit quantum gates, the asymptotic number required for n-bit Deutsch-Toffoli gates, and make some observations about the number of unitary operations on arbitrarily many bits.

...read moreread less

4.7K

•Book

Analytical techniques in the theory of guided waves

Raj Mittra, +1 more

- 01 Jan 1971

1.1K

•Journal Article•10.1088/0305-4470/30/22/023

Bound-state asymptotic estimates for window-coupled Dirichlet strips and layers

Pavel Exner, +2 more

- 21 Nov 1997

- Journal of Physics A

TL;DR: In this article, the authors considered the discrete spectrum of the Dirichlet Laplacian on a manifold consisting of two adjacent parallel straight strips or planar layers coupled by a finite number of windows in the common boundary.

...read moreread less

•Journal Article•10.1063/1.1491597

Bound states in straight quantum waveguides with combined boundary conditions

J. Dittrich, +1 more

- 11 Dec 2001

- arXiv: Mathematical Physics

TL;DR: In this paper, the authors investigated the discrete spectrum of the Hamiltonian describing a quantum particle living in the two-dimensional straight strip and proved the existence or absence of the spectrum for two models with combined boundary conditions.

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Journal Article•10.1063/1.1425081

Asymptotics of bound states and bands for laterally coupled waveguides and layers

I.Yu. Popov

- 01 Jan 2002

- Journal of Mathematical Physics

TL;DR: In this paper, the asymptotics of eigenvalues and bands for two-dimensional waveguides and three-dimensional layers coupled through small windows are obtained for boundary value problems.

...read moreread less

Quantum computer elements based on coupled quantum waveguides

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Most frequently asked questions

1. What have the authors contributed in "Quantum computer elements based on coupled quantum waveguides" ?

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Citations

Two interacting particles in deformed nanolayer: discrete spectrum and particle storage

Entanglement transmission through turbulent atmosphere for modes of Gaussian beam

On Quantitative Determination of the Degree of Independence of Qubit Transformation by a Quantum Gate or Channel

Modeling of integrated optical quantum search algorithm

Possible implementation of CNOT and CCNOT gates

References

Elementary gates for quantum computation.

Analytical techniques in the theory of guided waves

Bound-state asymptotic estimates for window-coupled Dirichlet strips and layers

Bound states in straight quantum waveguides with combined boundary conditions

Asymptotics of bound states and bands for laterally coupled waveguides and layers

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