Abstract:
We study remote control of quantum correlations (discord) in a subsystem of two qubits (receiver) via parameters of the initial state of another three-qubit subsystem (sender) connected to the receiver by an inhomogeneous spin s=1/2 chain. We propose two parameters characterizing the creatable correlations. The first parameter is the discord between the receiver and the remainder of the spin s=1/2 chain, and it concerns the mutual correlations between these two subsystems. The second parameter is the discord between the two nodes of the receiver and describes the inner correlations of the receiver. We study the dependence of these two discords on the inhomogeneity parameter of the spin chain.
Keywords:
discord, remote quantum state creation, quantum correlation,
quantum state transfer, spin chain.
This research is supported in part by the Russian
Academy of Sciences (Program "Element base of quantum computers," Grant
No. 0089-2015-0220) and the Russian Foundation for Basic Research (Grant
No. 15-07-07928). The research of A. I. Zenchuk was supported in part
by the Deutscher Akademischer Austauschdienst (DAAD program "Research Stays
for University Academics and Scientists," Grant No. 50015559).
Citation:
A. I. Zenchuk, S. I. Doronin, “Remote control of quantum correlations in a two-qubit receiver by a three-qubit sender”, TMF, 188:2 (2016), 343–358; Theoret. and Math. Phys., 188:2 (2016), 1259–1271
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Linking options:
https://www.mathnet.ru/eng/tmf9103
https://doi.org/10.4213/tmf9103
https://www.mathnet.ru/eng/tmf/v188/i2/p343
This publication is cited in the following 2 articles:
S. I. Doronin, A. I. Zenchuk, “Relay entanglement and clusters of correlated spins”, Quantum Inf. Process., 17:6 (2018), UNSP 126
N. B. Il'in, A. N. Pechen', “Critical point in the problem of maximizing the transition probability using measurements in an $n$-level quantum system”, Theoret. and Math. Phys., 194:3 (2018), 384–389
Citation in format AMSBIB
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