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International Journal of Quantum Information

DYNAMICAL PROPERTIES OF MULTI-PHOTON INTERACTION BETWEEN A CAVITY FIELD AND A SINGLE-QUBIT

Heba Kadry, Nordin Zakaria, Lee Yen Cheong, Mahmoud Abdel‐Aty

Published Jun 1, 2013• 5 citations
Publisher

Abstract

We study the dynamical properties of a cavity field coupling to a Cooper pair box (CPB). We assumed that the CPB is prepared initially in a mixed state with a coherent state for the field. By solving the time-dependent equations using the evolution operator, it shows that mean numbers of Cooper pairs is affected by the detuning. The mean number of Cooper pairs is further enhanced by the multi-photon processes in commonly used cavity field.

DOI
10.1142/s021974991350038x

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We study the dynamical properties of a cavity field coupling to a Cooper pair box (CPB). We assumed that the CPB is prepared initially in a mixed state with a coherent state for the field. By solving the time-dependent equations using the evolution operator, it shows that mean numbers of Cooper pairs is affected by the detuning. The mean number of Cooper pairs is further enhanced by the multi-photon processes in commonly used cavity field.
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.
The dynamics of the skew information (SI) is investigated for a single Cooper Pair Box (CPB) interacting with a single cavity field. By suitably choosing the system parameters and precisely controlling the dynamics, novel connection is found between the SI and entanglement generation. It is shown that SI can be increased and reach its maximum value either by increasing the number of photons inside the cavity or considering the far off-resonant case. The number of oscillations of SI is increased by decreasing this ratio between the Josephson junction capacity and the gate capacity. This leads to significant improvement of the travelling time between the maximum and minimum values.
We consider a single-Cooper-pair box biased by a classical voltage and also irradiated by a single-mode quantized field. We assume that the box is initially in a mixed state, and investigate the quantum dynamics of the Cooper-pair box and show that the collapse and revival phenomenon can exist in this system. We also study the quantum entropy of the single-Cooper-pair box and discuss the effects of the different parameters on this quantum entropy. We find that the box, which is initially in a mixed state, may evolve into an almost pure state.