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Quantum Information Processing

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01-08-2016

Remote two-qubit state creation and its robustness

Authors: J. Stolze, A. I. Zenchuk

Published in: Quantum Information Processing | Issue 8/2016

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Abstract

We consider the problem of remote two-qubit state creation using the two-qubit excitation pure initial state of the sender. The communication line is based on the optimized boundary-controlled chain with two pairs of properly adjusted coupling constants. We show that the communication line can be characterized by a set of parameters independent of the initial state of the sender. These parameters are permanent attributes of a communication line and can be either calculated theoretically or measured in experiment. In particular, they determine the creatable subregion of the receiver’s state space. The creation of a particular state within the creatable region is achieved by a proper choice of the independent parameters of the sender’s initial state (control parameters) and reduces to the solvability of a certain system of algebraic equations. The creation of the two-qubit Werner state is considered as an example. We also study the effects of imperfections of the chain on the state creation.

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Obviously, the matrix \(\rho ^R_{ij}(\mathcal{{P}}^\mathrm{apr},a)\) in Eq. (29) in general is not a density matrix. However, this is not important, because this system serves only to define the parameters a which will be implemented in the initial state of the sender. Then, the matrix \(\rho ^R_{ij}(\mathcal{{P}},a)\) obtained after evolution of the implemented initial state is a correct density matrix by construction, and this matrix is used in formula (30) introducing the matrix discrepancy.

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Title: Remote two-qubit state creation and its robustness
Authors: J. Stolze
A. I. Zenchuk
Publication date: 01-08-2016
Publisher: Springer US
Published in: Quantum Information Processing / Issue 8/2016
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-016-1345-5

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