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arXiv 1909.07484quant-phphysics.atom-ph
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作为量子点的超冷极性分子

Ultracold polar molecules as qudits

Rahul Sawant, Jacob A Blackmore, Philip D Gregory, Jordi Mur-Petit, Dieter Jaksch, Jesús Aldegunde, Jeremy M Hutson, M R Tarbutt, Simon L Cornish

摘要:

我们讨论了如何超冷分子的内部结构,捕获在运动的光镊基态,可以用来实现量子阱。我们探讨$^{40}$ Ca $^{19}$ F和$^{87}$ Rb $^{133}$ Cs的旋转,精细和超精细结构,它们分别是具有$^2Σ$和$^1Σ$电子基态的分子的例子。在每种情况下,我们确定一个子集的水平内的一个旋转流形适合实现一个4级qudit。量子门可以通过相邻旋转流形中的能级使用双光子微波跃迁来实现。我们讨论的限制,从非共振激发和退相干产生的分子量子的有用性。作为一个例子,我们提出了一个协议,使用尺寸$d=4$的分子量子执行Deutsch算法。

英文摘要:

We discuss how the internal structure of ultracold molecules, trapped in the motional ground state of optical tweezers, can be used to implement qudits. We explore the rotational, fine and hyperfine structure of $^{40}$Ca$^{19}$F and $^{87}$Rb$^{133}$Cs, which are examples of molecules with $^2Σ$ and $^1Σ$ electronic ground states, respectively. In each case we identify a subset of levels within a single rotational manifold suitable to implement a 4-level qudit. Quantum gates can be implemented using two-photon microwave transitions via levels in a neighboring rotational manifold. We discuss limitations to the usefulness of molecular qudits, arising from off-resonant excitation and decoherence. As an example, we present a protocol for using a molecular qudit of dimension $d=4$ to perform the Deutsch algorithm.

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