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arXiv 1806.04559quant-ph
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多腔系统中量子比特分布的多路控制相位门

Multiplex-controlled phase gate with qubits distributed in a multi-cavity system

Biaoliang Ye, Zhen-Fei Zheng, Chui-Ping Yang

摘要:

提出了一种多路控制相位门的实现方法,其中n个量子比特分布在n个不同的腔中,n-1个控制量子比特同时控制一个目标量子比特。这种多量子比特门是通过使用n个qutrit(三能级自然或人工原子)放置在n个不同的腔中,这些腔与辅助qutrit耦合来实现的。在这里,量子位的两个逻辑状态由放置在腔中的qutrit的两个最低能级表示。我们表明,这种n量子比特控制的相位门可以实现只使用2n+2个基本操作,即,所需的基本操作的数量仅随量子位的数量n线性增加。由于每个基本操作都采用量子-腔或量子-脉冲共振相互作用,因此当量子比特数不多时,可以快速实现门。数值模拟结果表明,利用电路QED系统可以高保真地实现由分布在三个不同腔体中的三个量子比特组成的三量子比特控制相位门。这一方案具有很强的普适性,适用于原子、NV中心、量子点或各种超导量子点分布在不同腔中的物理系统。最后,这种方法可以应用于实现一个多量子位控制的相位门与原子使用一个腔。详细讨论了用原子和一个腔实现三量子比特受控相位门的方法。

英文摘要:

We present a way to realize a multiplex-controlled phase gate of n-1 control qubits simultaneously controlling one target qubit, with n qubits distributed in n different cavities. This multiqubit gate is implemented by using n qutrits (three-level natural or artificial atoms) placed in n different cavities, which are coupled to an auxiliary qutrit. Here, the two logic states of a qubit are represented by the two lowest levels of a qutrit placed in a cavity. We show that this n-qubit controlled phase gate can be realized using only 2n+2 basic operations, i.e., the number of required basic operations only increases linearly with the number n of qubits. Since each basic operation employs the qutrit-cavity or qutrit-pulse resonant interaction, the gate can be fast implemented when the number of qubits is not large. Numerical simulations show that a three-qubit controlled phase gate, which is executed on three qubits distributed in three different cavities, can be high-fidelity implemented by using a circuit QED system. This proposal is quite general and can be applied to a wide range of physical systems, with atoms, NV centers, quantum dots, or various superconducting qutrits distributed in different cavities. Finally, this method can be applied to implement a multiqubit controlled phase gate with atoms using a cavity. A detailed discussion on implementing a three-qubit controlled phase gate with atoms and one cavity is presented.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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