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Chinese Physics Letters

Realization of a Multiqubit Conditional Phase Gate by Virtue of a Weak Coherent Light Field

黄秀花, 陈志华, 汤耀祥, 林秀敏

Published Jan 1, 2009• 0 citations
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Abstract

我们建议一个可伸缩的计划产生 multiqubit 由使用一块基本积木的有条件的阶段门，即，弱协调光脉搏 |α 〉与套住的原子从一个洞连续地思考了。在计划，我们使用光的一个协调状态而不是单个光子来源，一盏协调的灯上的人达因测量回答而不是单个光子察觉，它减少实际实验的复杂性。这些大小的结果显示门的任何一个结束或原来的 qubits 的存在以便操作能被重复直到它是成功的。

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我们建议一个可伸缩的计划产生 multiqubit 由使用一块基本积木的有条件的阶段门，即，弱协调光脉搏 |α 〉与套住的原子从一个洞连续地思考了。在计划，我们使用光的一个协调状态而不是单个光子来源，一盏协调的灯上的人达因测量回答而不是单个光子察觉，它减少实际实验的复杂性。这些大小的结果显示门的任何一个结束或原来的 qubits 的存在以便操作能被重复直到它是成功的。
一个很简单的理论计划被建议仅仅用在梯子类型之间的一个单个反响的相互作用第一实现 two-qubit 和 three-qubit 控制阶段门三水平的原子和单个模式的洞。在介绍协议，量信息在原子的稳定的地面状态上被编码(作为控制 qubits ) 并且零光子并且洞地的一个光子 Fock 状态(作为目标 qubit ) 。在原子自发的排放，洞模式的腐烂，和联合力量的偏差的影响下面， three-qubit 控制阶段门可以有一比较地高保真度。被扩大认识到 N-qubit 控制阶段门也被讨论的控制阶段门和盒子的试验性的可行性。
We propose a scalable scheme to generate a multiqubit conditional phase gate by using a basic building block, i.e., a weak coherent optical pulse |α〉 reflected successively from a cavity with trapped atoms. In the scheme, we use a coherent state of light instead of a single photon source, homodyne measurement on a coherent light field instead of single photon detection, which reduces the complexity of the practical experiment. The outcomes of these measurements indicate either completion of the gate or the presence of the original qubits such that the operation can be repeated until it is successful.
We propose a scheme to realize a multiqubit tunable phase gate in a circuit QED setup where two resonators, each coupling with a qudit, are interconnected to a common qudit (d=4). In this proposal, only two levels of each qudit serve as the logical states and the other two levels are used for the gate realization. The proposal is efficient and simple because only a classical microwave pulse is needed, no matter how many qudits are involved, which significantly reduces experimental difficulty. In a nonresonant case, the tunable phase gate can be achieved readily, while under the resonant condition, a π-phase gate can be realized after a full cycle of Rabi oscillation where the gate speed is rather fast due to the resonant interaction. We have shown that the resulting effective dynamics allows for the creation of a high-fidelity phase gate. The influence of various decoherence processes such as the decay of the resonator mode and the relaxation of the qudits is investigated. Moreover, the proposed scheme can be easily generalized to realize an N-qubit phase gate.
A major challenge in operating multiqubit quantum processors is to mitigate multiqubit coherent errors. For superconducting circuits, besides crosstalk originating from imperfect isolation of control lines, dispersive coupling between qubits is a major source of multiqubit coherent errors. We benchmark phase errors in a controlled-phase gate due to dispersive coupling of either of the qubits involved in the gate to one or more spectator qubits. We measure the associated gate infidelity using quantum-process tomography. We point out that, due to coupling of the gate qubits to a noncomputational state during the gate, two-qubit conditional-phase errors are enhanced. Our work is important for understanding limits to the fidelity of two-qubit gates with finite on-off ratio in multiqubit settings.