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Mutual entropy of a single Cooper pair-box interacting with multi-photon field

Heba Kadry, Nordin Zakaria, Lee Yen Cheong

Published Jun 1, 2014• 0 citations
Publisher

Abstract

We discuss the interaction of a single Cooper pair box interacting with a multi-photon field. The dynamical behavior is investigated using the quantum mutual entropy. The results show that the system parameters (the number of quanta and detuning parameters) play an important role in entanglement. This result might shed the light on the possibility to use the number of quanta as a controller parameter for the present system.

DOI
10.1109/iccoins.2014.6868410

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We discuss the interaction of a single Cooper pair box interacting with a multi-photon field. The dynamical behavior is investigated using the quantum mutual entropy. The results show that the system parameters (the number of quanta and detuning parameters) play an important role in entanglement. This result might shed the light on the possibility to use the number of quanta as a controller parameter for the present system.
Recently, great interest has attracted many proposals to build and construct the quantum computer both theoretically and experimentally. The superconducting Josephson junc tions (Cooper-pair box) circuits is one of the most promising hardware architecture for the realization of a scalable quantum computer processor. The production, controlling and manipulation of the quantum bits are still not completely solved. In this thesis we studied the interaction of the multi-photon field with single Cooper-pair box. First, the theoretical model which describes our system is reported. The analytical expression of the reduced density operator of the cavity field and the Cooper-pair is calculated. The dynamical properties of various parameters on the mean number of the Cooper pairs are studied. It is shown that the system parameters play an important role in the dy namics of the qubits in the system.
A Hamiltonian which represents the interaction between a single Cooper-pair box and two quantized electromagnetic fields is considered in order to find new ways for quantum information. The wave function in Schrdinger picture is obtained. The evolution of the entropy of the box as a function of the scaled time is ploted to measure the entanglement between the box and the fields. It is found that the entanglement is sensitive to the detuning between the Josephson energy and the fields frequency, increasing the detuning can decrease the entanglement.
A Cooper-pair box biased by a classical voltage and also irradiated by a squeezed state field is considered in order to find new ways to quantum communication and calculation. The quantum dynamics of the Cooper-pair box and the entanglement which is the core theoretics of quantum communication and calculation is investigated in this system, which is related to the squeezing parameter of the squeezed state. A model of Hamiltonian which represents the interaction between box and quantum field is introduced. Finally, the relationship between the entanglement and the squeezing parameter of the squeezed state is demonstrated.