Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Unconventional geometric phase gates using two cyclic three-level artificial atoms in a cavity

Li-Xin Xia, Fang-Zhou Wu, Qiongtao Xie, Yanjun Gong

Published Jun 30, 2010• 0 citations
Publisher

Abstract

Using two cyclic three-level artificial atoms, we propose a scheme for realizing two-qubit quantum phase gates via an unconventional geometric phase shift in a cavity. In this scheme, the excited states of the two artificial atoms are adiabatically eliminated, and the logical gates' operation only involves their metastable states. Moreover, under certain conditions, the artificial atoms are disentangled with the cavity mode. Thus the gate is insensitive to both the cavity decay and the spontaneous emission of the artificial atoms.

DOI
10.1117/12.870511

Related papers

Unconventional geometric quantum phase gates with a cavity QED system

Shi‐Biao Zheng

We propose a scheme for realizing two-qubit quantum phase gates via an unconventional geometric phase shift with atoms in a cavity. In the scheme the atoms interact simultaneously with a highly detuned cavity mode and a classical field. The atoms undergo no transitions during the gate operation, while the cavity mode is displaced along a circle in the phase space, aquiring a geometric phase conditional upon the atomic state. Under certain conditions, the atoms are disentangled with the cavity mode and thus the gate is insensitive to both the atomic spontaneous emission and the cavity decay.

arXiv:1202.5387•Physical Review A•Nov 19, 2004•94 citations

Unconventional geometric phase gates using two four-level rf-SQUIDs with cyclic population transfer in a cavity

Li-Xin Xia, Guo-Xin Xiong, Qiongtao Xie

We propose a scheme for realizing two-qubit quantum phase gates via an unconventional geometric phase shift using two four-level superconducting artificial atoms with cyclic population transfer (broken symmetry) in a cavity. In this scheme, the logical gates' operation only involves the metastable states of each artificial atom. Moreover, under certain conditions, the atoms are disentangled with the cavity mode. Thus, the gate is insensitive to both the atomic spontaneous emission and the cavity decay.

Journal of Modern Optics•May 15, 2009•0 citations

Scheme for unconventional geometric quantum computation in cavity QED

Xun‐Li Feng, Zisheng Wang, Chunfeng Wu +3 more

In this paper, we present a scheme for implementing the unconventional geometric two-qubit phase gate with nonzero dynamical phase based on two-channel Raman interaction of two atoms in a cavity. We show that the dynamical phase and the total phase for a cyclic evolution are proportional to the geometric phase in the same cyclic evolution; hence they possess the same geometric features as does the geometric phase. In our scheme, the atomic excited state is adiabatically eliminated, and the operation of the proposed logic gate involves only the metastable states of the atoms; thus the effect of the atomic spontaneous emission can be neglected. The influence of the cavity decay on our scheme is examined. It is found that the relations regarding the dynamical phase, the total phase, and the geometric phase in the ideal situation are still valid in the case of weak cavity decay. Feasibility and the effect of the phase fluctuations of the driving laser fields are also discussed.

arXiv:quant-ph/0606098•Physical Review A•May 9, 2007•58 citations

Unconventional geometric quantum computation in a two-mode cavity

Chunfeng Wu, Zisheng Wang, Xun‐Li Feng +4 more

We propose a scheme for implementing unconventional geometric quantum computation by using the interaction of two atoms with a two-mode cavity field. The evolution of the system results in a nontrivial two-qubit phase gate. The operation of the proposed gate involves only metastable states of the atom and hence is not affected by spontaneous emission. The effect of cavity decay on the gate is investigated. It is shown that the evolution time of the gate in the two-mode case is less than that in the single-mode case proposed by Feng et al. [Phys. Rev. A 75, 052312 (2007)]. Thus the gate can be more decay tolerant than the previous one. The scheme can also be generalized to a system consisting of two atoms interacting with an $N$-mode cavity field.

Physical Review A•Aug 9, 2007•26 citations

Strong-driving-assisted unconventional geometric logic gate in cavity QED

Changyong Chen, Mang Feng, Xiaolong Zhang +1 more

We propose a potential scheme for carrying out two-qubit unconventional geometric logic gates on two identical three-level atoms in a cavity, strongly driven by a resonant classical field. Compared to a previous scheme [S. B. Zheng, Phys. Rev. A 70, 052320 (2004)] based on the large-detuning interaction of the two identical three-level atoms with the cavity mode, our scheme can, in principle, achieve a faster gating because of the resonant coupling of the atoms to the classical field. We present the two-qubit unconventional geometric phase gates in both an ideal cavity and a real cavity with decay. Discussions about the fidelity and the success probability of the proposed scheme as well as the experimental feasibility are made in detail.

Physical Review A•Mar 30, 2006•61 citations

Implement of Unconventional Geometric Quantum Phase Gate Via Cavity QED

LI Hong-cai

A scheme is proposed for realizing unconventional geometric quantum phase gate originated from high-dimensional squeezed operators,which can be easily generalized to the physical system of Cavity QED.In the scheme,two-qubit g unconventional geometric phase gate is carried out by threes level atoms in a cavity,strongly drive by a resonant classical field.Under ideal condition,the resonant interaction in our scheme results in a short gating time.

Journal of Fujian Normal University•Jan 1, 2008•0 citations
Using two cyclic three-level artificial atoms, we propose a scheme for realizing two-qubit quantum phase gates via an unconventional geometric phase shift in a cavity. In this scheme, the excited states of the two artificial atoms are adiabatically eliminated, and the logical gates' operation only involves their metastable states. Moreover, under certain conditions, the artificial atoms are disentangled with the cavity mode. Thus the gate is insensitive to both the cavity decay and the spontaneous emission of the artificial atoms.
We propose a scheme for realizing two-qubit quantum phase gates via an unconventional geometric phase shift with atoms in a cavity. In the scheme the atoms interact simultaneously with a highly detuned cavity mode and a classical field. The atoms undergo no transitions during the gate operation, while the cavity mode is displaced along a circle in the phase space, aquiring a geometric phase conditional upon the atomic state. Under certain conditions, the atoms are disentangled with the cavity mode and thus the gate is insensitive to both the atomic spontaneous emission and the cavity decay.
We propose a scheme for realizing two-qubit quantum phase gates via an unconventional geometric phase shift using two four-level superconducting artificial atoms with cyclic population transfer (broken symmetry) in a cavity. In this scheme, the logical gates' operation only involves the metastable states of each artificial atom. Moreover, under certain conditions, the atoms are disentangled with the cavity mode. Thus, the gate is insensitive to both the atomic spontaneous emission and the cavity decay.
In this paper, we present a scheme for implementing the unconventional geometric two-qubit phase gate with nonzero dynamical phase based on two-channel Raman interaction of two atoms in a cavity. We show that the dynamical phase and the total phase for a cyclic evolution are proportional to the geometric phase in the same cyclic evolution; hence they possess the same geometric features as does the geometric phase. In our scheme, the atomic excited state is adiabatically eliminated, and the operation of the proposed logic gate involves only the metastable states of the atoms; thus the effect of the atomic spontaneous emission can be neglected. The influence of the cavity decay on our scheme is examined. It is found that the relations regarding the dynamical phase, the total phase, and the geometric phase in the ideal situation are still valid in the case of weak cavity decay. Feasibility and the effect of the phase fluctuations of the driving laser fields are also discussed.
We propose a scheme for implementing unconventional geometric quantum computation by using the interaction of two atoms with a two-mode cavity field. The evolution of the system results in a nontrivial two-qubit phase gate. The operation of the proposed gate involves only metastable states of the atom and hence is not affected by spontaneous emission. The effect of cavity decay on the gate is investigated. It is shown that the evolution time of the gate in the two-mode case is less than that in the single-mode case proposed by Feng et al. [Phys. Rev. A 75, 052312 (2007)]. Thus the gate can be more decay tolerant than the previous one. The scheme can also be generalized to a system consisting of two atoms interacting with an NNN-mode cavity field.
We propose a potential scheme for carrying out two-qubit unconventional geometric logic gates on two identical three-level atoms in a cavity, strongly driven by a resonant classical field. Compared to a previous scheme [S. B. Zheng, Phys. Rev. A 70, 052320 (2004)] based on the large-detuning interaction of the two identical three-level atoms with the cavity mode, our scheme can, in principle, achieve a faster gating because of the resonant coupling of the atoms to the classical field. We present the two-qubit unconventional geometric phase gates in both an ideal cavity and a real cavity with decay. Discussions about the fidelity and the success probability of the proposed scheme as well as the experimental feasibility are made in detail.