Construction of a qudit using Schrödinger cat states and generation of hybrid entanglement between a discrete-variable qudit and a continuous-variable qudit

Construction of a qudit using Schrödinger cat states and generation of hybrid entanglement between a discrete-variable qudit and a continuous-variable qudit
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使用薛定谔猫态构建 qudit 并生成离散变量 qudit 和连续变量 qudit 之间的混合纠缠

DOI:
10.1103/physreva.104.032412
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发表时间:
2021-09
期刊:
影响因子:
2.9
通讯作者:
Yang Chui-Ping
Yang Chui-Ping
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Su Qi-Ping;Liu Tong;Zhang Yu;Yang Chui-Ping

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我们证明,当适当地选择在每个CAT态中编码的相位时,可以利用玻色子模的准正交猫态来构造连续变量(CV)量子DIT。利用构造的CV量子纠缠态和用Fock态编码的离散变量量子纠缠态,我们提出了一种利用两个微波腔耦合到超导磁通量子晶体管来产生CV量子纠缠态和离散变量量子纠缠态的方法。这一提议依赖于一个腔的Fock态的叠加的初始制备和另一个腔的CAT态的初始制备。在每个腔的初始态准备好之后,该方案只需要两个基本操作,即第一个操作采用两个腔与Qutrit的色散耦合,而第二个操作仅使用一个腔与Qutrit的色散耦合。纠缠态的产生是确定性的,并且随着量子尺寸的增加,操作时间减少。此外,在整个操作过程中,耦合器Qutrit保持在基态,从而显著降低了Qutrit的退相干。作为例子,我们进一步讨论了基于电路QED产生DV量子晶体管和CV量子晶体管混合最大纠缠态的实验可行性。这一提议是普遍的,可以扩展到完成同样的任务,通过使用两个微波或光学腔耦合到一个自然或人造三能级原子。
We show that a continuous-variable (CV) qudit can be constructed using quasiorthogonal cat states of a bosonic mode, when the phase encoded in each cat state is chosen appropriately. With the constructed CV qudit and the discrete-variable (DV) qudit encoded with Fock states, we propose an approach to generate the hybrid maximally entangled state of a CV qudit and a DV qudit by using two microwave cavities coupled to a superconducting flux qutrit. This proposal relies on the initial preparation of a superposition of Fock states of one cavity and the initial preparation of a cat state of the other cavity. After the initial state of each cavity is prepared, this proposal requires only two basic operations, i.e., the first operation employs the dispersive coupling of both cavities with the qutrit while the second operation uses the dispersive coupling of only one cavity with the qutrit. The entangled state production is deterministic and the operation time decreases as the dimensional size of each qudit increases. In addition, during the entire operation, the coupler qutrit remains in the ground state and thus decoherence from the qutrit is significantly reduced. As an example, we further discuss the experimental feasibility for generating the hybrid maximally entangled state of a DV qutrit and a CV qutrit based on circuit QED. This proposal is universal and can be extended to accomplish the same task, by using two microwave or optical cavities coupled to a natural or artificial three-level atom.
超导量子电路中的光学选择规则和相相关绝热状态控制
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