A geometric phase for superconducting qubits under the decoherence effect

doi:10.1088/1674-1056/22/10/100301

中国物理B ›› 2013, Vol. 22 ›› Issue (10): 100301-100301.doi: 10.1088/1674-1056/22/10/100301

A geometric phase for superconducting qubits under the decoherence effect

S. Abdel-Khalek^{a b}, K. Berrada^{c d e}, Mohamed A. El-Sayed^f, M. Abel-Aty^a

a Mathematics Department, Faculty of Science, Sohag University, 82524 Sohag, Egypt;
b Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Arabia;
c Al Imam Mohammad Ibn Saud Islamic University (IMSIU), College of Science, Department of Physics, Riyadh, Saudi Arabia;
d The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Miramare-Trieste, Italy;
e Laboratoire de Physique Théorique, Faculté des Sciences, Université Mohammed V-Agdal, Avenue Ibn Battouta, Boîte Postale 1014, Agdal Rabat, Morocco;
f Informatics Department, Faculty of Science, Taif University, Taif, Saudi Arabia

收稿日期:2013-02-22 修回日期:2013-03-28 出版日期:2013-08-30 发布日期:2013-08-30

A geometric phase for superconducting qubits under the decoherence effect

S. Abdel-Khalek^{a b}, K. Berrada^{c d e}, Mohamed A. El-Sayed^f, M. Abel-Aty^a

a Mathematics Department, Faculty of Science, Sohag University, 82524 Sohag, Egypt;
b Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Arabia;
c Al Imam Mohammad Ibn Saud Islamic University (IMSIU), College of Science, Department of Physics, Riyadh, Saudi Arabia;
d The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Miramare-Trieste, Italy;
e Laboratoire de Physique Théorique, Faculté des Sciences, Université Mohammed V-Agdal, Avenue Ibn Battouta, Boîte Postale 1014, Agdal Rabat, Morocco;
f Informatics Department, Faculty of Science, Taif University, Taif, Saudi Arabia

Received:2013-02-22 Revised:2013-03-28 Online:2013-08-30 Published:2013-08-30
Contact: K. Berrada E-mail:kberrada@ictp.it

摘要/Abstract

摘要： We propose a relaxation rate or dissipative cavity-based parameters that can be used as indicators of the stationary limit of a mixed state geometric phase. We perform our considerations for the system of a superconducting qubit in an open transmission line or interacting with a dissipative cavity. This system is very useful for performing an effective quantum computation by exhibiting the long collapse time of the geometric phase. It is shown that the geometric phase in the stationary limit does not depend on interaction time if the decay time exceeds an upper bound.

关键词: superconducting-qubit, meometric phase, mixed state, decoherence

Abstract: We propose a relaxation rate or dissipative cavity-based parameters that can be used as indicators of the stationary limit of a mixed state geometric phase. We perform our considerations for the system of a superconducting qubit in an open transmission line or interacting with a dissipative cavity. This system is very useful for performing an effective quantum computation by exhibiting the long collapse time of the geometric phase. It is shown that the geometric phase in the stationary limit does not depend on interaction time if the decay time exceeds an upper bound.

Key words: superconducting-qubit, meometric phase, mixed state, decoherence

中图分类号: (Quantum mechanics)

03.65.-w

03.65.Ta (Foundations of quantum mechanics; measurement theory) 03.65.Yz (Decoherence; open systems; quantum statistical methods) 03.67.-a (Quantum information)

S. Abdel-Khalek, K. Berrada, Mohamed A. El-Sayed, M. Abel-Aty. A geometric phase for superconducting qubits under the decoherence effect[J]. 中国物理B, 2013, 22(10): 100301-100301.

S. Abdel-Khalek, K. Berrada, Mohamed A. El-Sayed, M. Abel-Aty. A geometric phase for superconducting qubits under the decoherence effect[J]. Chin. Phys. B, 2013, 22(10): 100301-100301.

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A geometric phase for superconducting qubits under the decoherence effect

A geometric phase for superconducting qubits under the decoherence effect

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