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WIGNER FUNCTION AND PHASE PROPERTIE FOR A TWO-QUBIT FIELD SYSTEM UNDER PURE PHASE NOISE

Research Abstract

We investigate an analytical solution for a two-qubit field system in the dispersive regime with a
reservoir. We analyze the influence of the phase damping on the Wigner function and the phase
properties. We found that the phase damping destroys the phase probability of the global system for
the coherent state and even coherent state. The phase damping leads to decay of the Wigner function
for the coherent state.

Research Authors
A.-S. F. Obada,1 H. A. Hessian,2, 3 A.-B. A. Mohamed,2, 4 and M. Hashem2 
Research Department
Research Journal
Journal of Russian Laser Research
Research Rank
2
Research Vol
Vol. 33- No.4
Research Year
2012

Control of purity and entanglement for two spatially
two-separated qubits via phase damping

Research Abstract

Control of purity and entanglement of two two-qubits dispersively coupled to a eld with a reservoir are inves-
tigated. Initially the qubits are entangled, while the eld is either in a coherent state or a statistical mixture of two
coherent states. For an alternative entanglement measure we calculate the negativity of the eigenvalues of the partially
transposed density matrix. A measure related to the mutual entropy, namely the index of entropy, is employed to
measure the entanglement. Its results agree well with the negativity. It is found that the entanglement and purity have
strong sensitivity to phase damping. The asymptotic behaviour of the states of the eld, the two two-qubits, and the
total system fall into mixed states.

Research Authors
A. S. F. Obadaa), H. A. Hessianb)c), A. B. A. Mohamedb)d), and M. Hashemb)y
Research Department
Research Journal
Chin. Phys. B
Research Rank
2
Research Vol
Vol. 21, No. 10
Research Year
2012

Control of purity and entanglement for two spatially
two-separated qubits via phase damping

Research Abstract

Control of purity and entanglement of two two-qubits dispersively coupled to a eld with a reservoir are inves-
tigated. Initially the qubits are entangled, while the eld is either in a coherent state or a statistical mixture of two
coherent states. For an alternative entanglement measure we calculate the negativity of the eigenvalues of the partially
transposed density matrix. A measure related to the mutual entropy, namely the index of entropy, is employed to
measure the entanglement. Its results agree well with the negativity. It is found that the entanglement and purity have
strong sensitivity to phase damping. The asymptotic behaviour of the states of the eld, the two two-qubits, and the
total system fall into mixed states.

Research Authors
A. S. F. Obadaa), H. A. Hessianb)c), A. B. A. Mohamedb)d), and M. Hashemb)y
Research Department
Research Journal
Chin. Phys. B
Research Member
Research Rank
2
Research Vol
Vol. 21, No. 10
Research Year
2012

Control of purity and entanglement for two spatially
two-separated qubits via phase damping

Research Abstract

Control of purity and entanglement of two two-qubits dispersively coupled to a eld with a reservoir are inves-
tigated. Initially the qubits are entangled, while the eld is either in a coherent state or a statistical mixture of two
coherent states. For an alternative entanglement measure we calculate the negativity of the eigenvalues of the partially
transposed density matrix. A measure related to the mutual entropy, namely the index of entropy, is employed to
measure the entanglement. Its results agree well with the negativity. It is found that the entanglement and purity have
strong sensitivity to phase damping. The asymptotic behaviour of the states of the eld, the two two-qubits, and the
total system fall into mixed states.

Research Authors
A. S. F. Obadaa), H. A. Hessianb)c), A. B. A. Mohamedb)d), and M. Hashemb)y
Research Department
Research Journal
Chin. Phys. B
Research Rank
2
Research Vol
Vol. 21, No. 10
Research Year
2012

Influence of the phase damping for two-qubits system
in the dispersive reservoir

Research Abstract

Ananalytical solution of the master equation for two qubits-field system in
the dispersive reservoir are investigated, the qubits are initially in werner states. Under
the influence of the damping we investigate the quantum correlation in a two-qubit
based on measurement-induced disturbance (MID). We compare MID and entanglement
measured by negativity and illustrate their different characteristics. We find the
effect of damping on MID is weaker than negativity. Negativity will experience a
sudden transition but this will not happen for MID.

Research Authors
A.-S. F. Obada • H. A. Hessian • A.-B. A. Mohamed • M. Hashem
Research Department
Research Journal
Quantum Inf Process
Research Pages
PP. 1947–1956
Research Rank
2
Research Vol
Vol. 12
Research Year
2013

Influence of the phase damping for two-qubits system
in the dispersive reservoir

Research Abstract

Ananalytical solution of the master equation for two qubits-field system in
the dispersive reservoir are investigated, the qubits are initially in werner states. Under
the influence of the damping we investigate the quantum correlation in a two-qubit
based on measurement-induced disturbance (MID). We compare MID and entanglement
measured by negativity and illustrate their different characteristics. We find the
effect of damping on MID is weaker than negativity. Negativity will experience a
sudden transition but this will not happen for MID.

Research Authors
A.-S. F. Obada • H. A. Hessian • A.-B. A. Mohamed • M. Hashem
Research Department
Research Journal
Quantum Inf Process
Research Member
Research Pages
PP. 1947–1956
Research Rank
2
Research Vol
Vol. 12
Research Year
2013

Influence of the phase damping for two-qubits system
in the dispersive reservoir

Research Abstract

Ananalytical solution of the master equation for two qubits-field system in
the dispersive reservoir are investigated, the qubits are initially in werner states. Under
the influence of the damping we investigate the quantum correlation in a two-qubit
based on measurement-induced disturbance (MID). We compare MID and entanglement
measured by negativity and illustrate their different characteristics. We find the
effect of damping on MID is weaker than negativity. Negativity will experience a
sudden transition but this will not happen for MID.

Research Authors
A.-S. F. Obada • H. A. Hessian • A.-B. A. Mohamed • M. Hashem
Research Department
Research Journal
Quantum Inf Process
Research Pages
PP. 1947–1956
Research Rank
2
Research Vol
Vol. 12
Research Year
2013

Effect of the Anodization Parameters on the Volume Expansion of Anodized Aluminum Films

Research Abstract

The effect of anodization parameters, e.g. anodizing voltage, anodizing current, duration time, electrolyte temperature, electrolyte type and concentration, on the volume expansion of anodized Al, Al-1wt%Si and Al-1%Cu thin films have been studied. The volume expansion factor of anodic porous alumina is found to vary from 1.32 to 2.08, depending on the anodizing voltage, anodizing current density and electrolyte type. The electrolyte temperature and impurity type have slight effect on the volume expansion factor. The relation between the pore density of porous alumina and the anodizing voltage is found to follow the relation NP=9.4×1010exp(-0.042V). In addition, the current efficiency during the anodization was determined to be about 83%.

Research Authors
Alaa M. Abd-Elnaiem, A.M. Mebed, A. Gaber, M.A. Abdel-Rahim
Research Department
Research Journal
International Journal of Electrochemical Science
Research Pages
PP.10515 - 10525
Research Rank
1
Research Vol
8
Research Website
http://www.electrochemsci.org/papers/vol8/80810515.pdf
Research Year
2013
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