Kraus Operators for a Pair of Interacting Qubits: a Case Study

The Kraus form of the completely positive dynamical maps is appealing from the mathematical and the point of the diverse applications of the open quantum systems theory. Unfortunately, the Kraus operators are poorly known for the two-qubit processes. In this paper, we derive the Kraus operators for...

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Bibliographic Details
Published in:Brazilian journal of physics 2018-06, Vol.48 (3), p.242-248
Main Authors: Arsenijević, M., Jeknić-Dugić, J., Dugić, M.
Format: Article
Language:English
Subjects:
General and Applied Physics
Operators (mathematics)
Physics
Physics and Astronomy
Quantum entanglement
Qubits (quantum computing)
System theory
Systems theory
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Summary:The Kraus form of the completely positive dynamical maps is appealing from the mathematical and the point of the diverse applications of the open quantum systems theory. Unfortunately, the Kraus operators are poorly known for the two-qubit processes. In this paper, we derive the Kraus operators for a pair of interacting qubits, while the strength of the interaction is arbitrary. One of the qubits is subjected to the x-projection spin measurement. The obtained results are applied to calculate the dynamics of the entanglement in the qubits system. We obtain the loss of the correlations in the finite time interval; the stronger the inter-qubit interaction, the longer lasting entanglement in the system.
ISSN:0103-9733
1678-4448
DOI:10.1007/s13538-018-0570-z