Optimal mirror phase-covariant cloning

Optimal mirror phase-covariant cloning

We propose a quantum cloning machine, which clones a qubit into two clones assuming known modulus of expectation value of Pauli Z-matrix. The process is referred to as the mirror phase-covariant cloning, for which the input state is a priori less known than that for the standard phase-covariant clon...

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Veröffentlicht in:arXiv.org 2009-09
Hauptverfasser: Bartkiewicz, Karol, Miranowicz, Adam, \c{S}ahin Kaya Özdemir
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Sprache:eng
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Cloning
Mathematical analysis
Physics - Quantum Physics
Quantum dots
Qubits (quantum computing)
Transformations (mathematics)
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Miranowicz, Adam
\c{S}ahin Kaya Özdemir
description We propose a quantum cloning machine, which clones a qubit into two clones assuming known modulus of expectation value of Pauli Z-matrix. The process is referred to as the mirror phase-covariant cloning, for which the input state is a priori less known than that for the standard phase-covariant cloning. Analytical expressions describing the cloning transformation and fidelity of the clones are found. Extremal equations for the optimal cloning are derived and analytically solved by generalizing a method of Fiurasek [Phys. Rev. A 64, 062310 (2001)]. Quantum circuits implementing the optimal cloning transformation and their physical realization in a quantum-dot system are described.
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subjects Cloning
Mathematical analysis
Physics - Quantum Physics
Quantum dots
Qubits (quantum computing)
Transformations (mathematics)
title Optimal mirror phase-covariant cloning
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