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理论物理通讯：英文版

One-Step Generation of Multi-Qubit GHZ and W States in Superconducting Transmon Qubit System

高贵龙, 蔡根畅, 黄寿胜, 王明锋, 姜年权

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

我们建议一个一步舞方法与电容地联合到一个超导的传播线共鸣器(TLR ) 的 transmon qubits 准备 multi-qubit GHZ 和 W 状态。与王等第一介绍的计划相比。[Phys。加快。B 81 (2010 ) 104524 ] ，因为我们使用了的 transmon qubits 对 decoherence 和不可避免的参数变化更柔韧，我们的计划有更长的 dephasing 时间和短得多的操作时间不仅，而且有 TLR 的强壮得多的联合常数。基于 transmons 和 TLR 的赞成性质，我们的方法在实验是更可行的。

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我们建议一个一步舞方法与电容地联合到一个超导的传播线共鸣器(TLR ) 的 transmon qubits 准备 multi-qubit GHZ 和 W 状态。与王等第一介绍的计划相比。[Phys。加快。B 81 (2010 ) 104524 ] ，因为我们使用了的 transmon qubits 对 decoherence 和不可避免的参数变化更柔韧，我们的计划有更长的 dephasing 时间和短得多的操作时间不仅，而且有 TLR 的强壮得多的联合常数。基于 transmons 和 TLR 的赞成性质，我们的方法在实验是更可行的。
We propose a one-step method to prepare multi-qubit GHZ and W states with transmon qubits capacitively coupled to a superconducting transmission line resonator (TLR). Compared with the scheme firstly introduced by Wang et al. [ Phys. Rev. B 81 (2010) 104524 ], our schemes have longer dephasing time and much shorter operation time because the transmon qubits we used are not only more robust to the decoherence and the unavoidable parameter variations, but also have much stronger coupling constant with TLR. Based on the favourable properties of transmons and TLR, our method is more feasible in experiment.
一个其他的计划为产生 theGreenberg-Horne-Zeilinger (GHZ ) 被建议， W 与多重 superconductingquantum 干扰纠缠的状态打字一块单个模式的微波洞地里的设备(枪乌) qubits。在这个计划，没有在枪乌和洞之间的量信息的转移，洞总是在真空，因此，洞的质量上的要求极大地被松开。另外，在 W 的产生的过程期间纠缠了状态，现在的方法不包含中间的层次的真实刺激。因此，由于精力，中介的松驰铺平的 decoherence 被最小化。
Quantum entanglement is an important resource for quantum information processing tasks. However, realistic multipartite entangled state production is very difficult. In this paper, we propose an efficient single-step scheme for generating many body Greenberger–Horne–Zeilinger (GHZ) states on superconducting circuits by using a superconducting transmission-line resonator (TLR) interact with [Formula: see text] superconducting transmon qubits. The distinct merit of our proposal is that it does not require the qubit-resonator coupling strengths to be the same, which is usually impractical experimentally, and thus is one of the main reasons for entanglement generation infidelity in previous single-step schemes. The removing of the uniform interaction requirement is achieved by modulating the qubits splitting frequencies with ac microwave fields, which results in tunable individual qubit-resonator coupling strength, and thus effective uniform qubit–qubit interaction Hamiltonian can be obtained. Since microwave control is conventional nowadays, our proposal can be directly tested experimentally, which makes previous multipartite entangled states generation schemes more efficient.
We study a one-step approach to the fast generation of Greenberger-Horne-Zeilinger (GHZ) states in a circuit QED system with superconducting flux qubits. The GHZ state can be generated in about 10 ns, which is much shorter than the coherence time of flux qubits and comparable with the time of single-qubit operation. In our proposal a time-dependent microwave field is applied to a superconducting transmission line resonator (TLR) and displaces the resonator in a controlled manner, thus inducing indirect qubit-qubit coupling without residual entanglement between the qubits and the resonator. The design of a tunably coupled TLR circle array provides us with the potential for extending this one-step scheme to the case of many qubits coupled via several TLRs.