The Experts below are selected from a list of 252 Experts worldwide ranked by ideXlab platform
Patrick P. Potts - One of the best experts on this subject based on the ideXlab platform.
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Quantum teleportation of single-Electron States
Physical Review B, 2020Co-Authors: Edvin Olofsson, Peter Samuelsson, Nicolas Brunner, Patrick P. PottsAbstract:Quantum teleportation is a way to transfer a quantum state between two locations, by utilizing a shared entangled state, measurements and the ability to communicate measurement outcomes between the two locations. This thesis consists of a theoretical investigation of an experiment that would implement quantum teleportation using single-Electron States in mesoscopic architectures. First, we studied an idealized version, where it is assumed that single-Electron States can be detected, which is yet to be demonstrated for certain types of implementations. There we find a teleportation efficiency of 25\% or 12.5\%, depending on whether a conditional unitary operation can be applied to the teleported state. We also show how to verify successful teleportation, by describing a way to perform state tomography on the teleported state. Next, we considered a more realistic setup where single-Electron States called levitons are periodically injected. We show that at $T=0$ it is possible to perform state tomography using measurements of low-frequency current correlators up to order three. This opens the possibility to perform teleportation experiments that do not rely on single-Electron detection. The correlators were calculated within the framework of Floquet scattering theory. Strictly speaking, the simple picture of single-Electron state teleportation breaks down at finite temperatures. However, we find that the generalized observables can be interpreted in terms of noisy teleportation. (Less)
Hayk A. Sarkisyan - One of the best experts on this subject based on the ideXlab platform.
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Two Electron States in a Quantum Ring on a Sphere
Few-Body Systems, 2014Co-Authors: Eduard M. Kazaryan, V. Shahnazaryan, Hayk A. SarkisyanAbstract:Two Electron States in a quantum ring on a spherical surface are discussed. The problem is discussed within the frameworks of Russell–Saunders coupling scheme, that is, the spin–orbit coupling is neglected. Treating Coulomb interaction as a perturbation, the energy correction for different States is calculated. The dependence of the Coulomb interaction energy on external polar boundary angle of quantum ring is obtained. In analogue with the helium atom the concept of States exchange time is introduced, and its dependence on geometrical parameters of the ring is shown.
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Quantum ring on sphere: Electron States on spherical segment
Physica E-low-dimensional Systems & Nanostructures, 2013Co-Authors: Eduard M. Kazaryan, V. Shahnazaryan, Hayk A. SarkisyanAbstract:Abstract Quantum problem of Electron on a spherical segment is discussed. The confinement potential of segment is chosen in the form of singular analog of C P 1 - oscillator . The exact solution of quantum problem of Electron States in a quantum ring on a spherical surface is done. Analytical expressions for the wave functions and energy spectrum are found. The ground state energy at different values of the confining potential parameters is calculated numerically in the case of impenetrable walls. Its dependence on the limitation angles is shown. Transition to the case of an alternative model of a spherical oscillator is discussed.
Edvin Olofsson - One of the best experts on this subject based on the ideXlab platform.
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Quantum teleportation of single-Electron States
Physical Review B, 2020Co-Authors: Edvin Olofsson, Peter Samuelsson, Nicolas Brunner, Patrick P. PottsAbstract:Quantum teleportation is a way to transfer a quantum state between two locations, by utilizing a shared entangled state, measurements and the ability to communicate measurement outcomes between the two locations. This thesis consists of a theoretical investigation of an experiment that would implement quantum teleportation using single-Electron States in mesoscopic architectures. First, we studied an idealized version, where it is assumed that single-Electron States can be detected, which is yet to be demonstrated for certain types of implementations. There we find a teleportation efficiency of 25\% or 12.5\%, depending on whether a conditional unitary operation can be applied to the teleported state. We also show how to verify successful teleportation, by describing a way to perform state tomography on the teleported state. Next, we considered a more realistic setup where single-Electron States called levitons are periodically injected. We show that at $T=0$ it is possible to perform state tomography using measurements of low-frequency current correlators up to order three. This opens the possibility to perform teleportation experiments that do not rely on single-Electron detection. The correlators were calculated within the framework of Floquet scattering theory. Strictly speaking, the simple picture of single-Electron state teleportation breaks down at finite temperatures. However, we find that the generalized observables can be interpreted in terms of noisy teleportation. (Less)
Eduard M. Kazaryan - One of the best experts on this subject based on the ideXlab platform.
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Two Electron States in a Quantum Ring on a Sphere
Few-Body Systems, 2014Co-Authors: Eduard M. Kazaryan, V. Shahnazaryan, Hayk A. SarkisyanAbstract:Two Electron States in a quantum ring on a spherical surface are discussed. The problem is discussed within the frameworks of Russell–Saunders coupling scheme, that is, the spin–orbit coupling is neglected. Treating Coulomb interaction as a perturbation, the energy correction for different States is calculated. The dependence of the Coulomb interaction energy on external polar boundary angle of quantum ring is obtained. In analogue with the helium atom the concept of States exchange time is introduced, and its dependence on geometrical parameters of the ring is shown.
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Quantum ring on sphere: Electron States on spherical segment
Physica E-low-dimensional Systems & Nanostructures, 2013Co-Authors: Eduard M. Kazaryan, V. Shahnazaryan, Hayk A. SarkisyanAbstract:Abstract Quantum problem of Electron on a spherical segment is discussed. The confinement potential of segment is chosen in the form of singular analog of C P 1 - oscillator . The exact solution of quantum problem of Electron States in a quantum ring on a spherical surface is done. Analytical expressions for the wave functions and energy spectrum are found. The ground state energy at different values of the confining potential parameters is calculated numerically in the case of impenetrable walls. Its dependence on the limitation angles is shown. Transition to the case of an alternative model of a spherical oscillator is discussed.
Nicolas Brunner - One of the best experts on this subject based on the ideXlab platform.
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Quantum teleportation of single-Electron States
Physical Review B, 2020Co-Authors: Edvin Olofsson, Peter Samuelsson, Nicolas Brunner, Patrick P. PottsAbstract:Quantum teleportation is a way to transfer a quantum state between two locations, by utilizing a shared entangled state, measurements and the ability to communicate measurement outcomes between the two locations. This thesis consists of a theoretical investigation of an experiment that would implement quantum teleportation using single-Electron States in mesoscopic architectures. First, we studied an idealized version, where it is assumed that single-Electron States can be detected, which is yet to be demonstrated for certain types of implementations. There we find a teleportation efficiency of 25\% or 12.5\%, depending on whether a conditional unitary operation can be applied to the teleported state. We also show how to verify successful teleportation, by describing a way to perform state tomography on the teleported state. Next, we considered a more realistic setup where single-Electron States called levitons are periodically injected. We show that at $T=0$ it is possible to perform state tomography using measurements of low-frequency current correlators up to order three. This opens the possibility to perform teleportation experiments that do not rely on single-Electron detection. The correlators were calculated within the framework of Floquet scattering theory. Strictly speaking, the simple picture of single-Electron state teleportation breaks down at finite temperatures. However, we find that the generalized observables can be interpreted in terms of noisy teleportation. (Less)