Protecting an unknown qubit state by weak measurement

Fuente: arXiv
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Autores principales: Heibati, Ozra, Mani, Azam, Faizi, Esfandiar, Karimipour, Vahid
Formato: Preprint
Publicado: 2020
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author Heibati, Ozra
Mani, Azam
Faizi, Esfandiar
Karimipour, Vahid
author_facet Heibati, Ozra
Mani, Azam
Faizi, Esfandiar
Karimipour, Vahid
contents The problem of combating de-coherence by weak measurements has already been studied for the amplitude damping channel and for specific input states. We generalize this to a large four-parameter family of qubit channels and for the average fidelity over all pure states. As a by-product we classify all the qubit channels which have one invariant pure state and show that the parameter manifold of these channels is isomorphic to $S^2\times S^1\times S^1$ and contains many interesting subclasses of channels. The figure of merit that we use is the average input-output fidelity which we show can be increased up to $30$ percents in some cases, by tuning of the weak measurement parameter.
format Preprint
id arxiv_https___arxiv_org_abs_2003_01341
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Protecting an unknown qubit state by weak measurement
Heibati, Ozra
Mani, Azam
Faizi, Esfandiar
Karimipour, Vahid
Quantum Physics
The problem of combating de-coherence by weak measurements has already been studied for the amplitude damping channel and for specific input states. We generalize this to a large four-parameter family of qubit channels and for the average fidelity over all pure states. As a by-product we classify all the qubit channels which have one invariant pure state and show that the parameter manifold of these channels is isomorphic to $S^2\times S^1\times S^1$ and contains many interesting subclasses of channels. The figure of merit that we use is the average input-output fidelity which we show can be increased up to $30$ percents in some cases, by tuning of the weak measurement parameter.
title Protecting an unknown qubit state by weak measurement
topic Quantum Physics
url https://arxiv.org/abs/2003.01341