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Nongeometric phase gates via adiabatic passage of dark states in cavity QED

Shi-Biao Zheng

Physics Letters AOct 11, 200610 citations

Tunable Nongeometric Phase Gates for Two Hot Ions via Adiabatic Evolution of Dark States

Zheng Shi-Biao

We propose a scheme for implementing nongeometric phase gates for two trapped ions via adiabatic passage of dark states. During the operation, the vibrational mode is only virtually excited, thus the scheme is insensitive to heating. Furthermore, the spontaneous emission is suppressed since the ions are always in the electronic ground states. The scheme is robust against small fluctuations of parameters, and the conditional phase is tunable.

Chinese Physics LettersNov 29, 20061 citation

Quantum Phase Gates for Trapped Ions via Adiabatic Passage

Zheng Zheng, Shi-Biao

理论物理通讯：英文版Jan 1, 20070 citations

Nongeometric multiqubit conditional phase gates by adiabatic evolution for trapped ions

Xinglai Zhang, Xun‐Li Feng, Chunfeng Wu +1 more

We propose a scheme for realizing controlled multiqubit quantum phase gates via the adiabatic evolution for trapped ions. Leveraging on the adiabatic operation, the scheme is tolerant to ambient noise and insensitive to the randomness of moderate fluctuations in experimental parameters. In our scheme, the ions are illuminated by lasers tuned to the first lower vibrational sideband or quasiresonant transition, the vibrational mode is not utilized as a data bus, and dark state evolution is required. The required gate operation time does not increase with the increasing number of qubits. This leads to a more efficient implementation of multiqubit gates than that of a series of one-qubit and two-qubit operations for quantum circuits and quantum algorithms.We propose a scheme for realizing controlled multiqubit quantum phase gates via the adiabatic evolution for trapped ions. Leveraging on the adiabatic operation, the scheme is tolerant to ambient noise and insensitive to the randomness of moderate fluctuations in experimental parameters. In our scheme, the ions are illuminated by lasers tuned to the first lower vibrational sideband or quasiresonant transition, the vibrational mode is not utilized as a data bus, and dark state evolution is required. The required gate operation time does not increase with the increasing number of qubits. This leads to a more efficient implementation of multiqubit gates than that of a series of one-qubit and two-qubit operations for quantum circuits and quantum algorithms.

Physical Review AMar 19, 20095 citations

Geometric phase gate with trapped ions in thermal motion by adiabatic passage

Xinglai Zhang, Xun‐Li Feng, Chunfeng Wu +1 more

The European Physical Journal DJul 29, 20100 citations

Nongeometric Conditional Phase Shift via Adiabatic Evolution of Dark Eigenstates: A New Approach to Quantum Computation

Shi-Biao Zheng

We propose a new approach to quantum phase gates via the adiabatic evolution. The conditional phase shift is neither of dynamical nor geometric origin. It arises from the adiabatic evolution of the dark state itself. Taking advantage of the adiabatic passage, this kind of quantum logic gates is robust against moderate fluctuations of experimental parameters. In comparison with the geometric phase gates, it is unnecessary to drive the system to undergo a desired cyclic evolution to obtain a desired solid angle. Thus, the procedure is simplified, and the fidelity may be further improved since the errors in obtaining the required solid angle are avoided. We illustrate such a kind of quantum logic gates in the ion trap system. The idea can also be realized in other systems, opening a new perspective for quantum information processing.We propose a new approach to quantum phase gates via the adiabatic evolution. The conditional phase shift is neither of dynamical nor geometric origin. It arises from the adiabatic evolution of the dark state itself. Taking advantage of the adiabatic passage, this kind of quantum logic gates is robust against moderate fluctuations of experimental parameters. In comparison with the geometric phase gates, it is unnecessary to drive the system to undergo a desired cyclic evolution to obtain a desired solid angle. Thus, the procedure is simplified, and the fidelity may be further improved since the errors in obtaining the required solid angle are avoided. We illustrate such a kind of quantum logic gates in the ion trap system. The idea can also be realized in other systems, opening a new perspective for quantum information processing.

Physical Review LettersAug 17, 200595 citations

Tunable Nongeometric Phase Gates for Two Hot Ions via Adiabatic Evolution of Dark States

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Tunable Nongeometric Phase Gates for Two Hot Ions via Adiabatic Evolution of Dark States

Abstract

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