量子点中基于Luttinger旋量的价空穴量子比特
Valence holes as Luttinger spinor based qubits in quantum dots
摘要：
我们提出了一个基于Luttinger旋量的p掺杂自组装量子点的价空穴理论，该理论基于4带$k\cdot p$形式。这两个量子比特能级与双简并基态的两个手征性相对应。我们表明，单量子比特操作可以实现沿$z$和$x$方向施加的静态磁场，作用类似于$\hatσ_z$和$\hatσ_x$运营商在量子比特子空间分别。两个量子点的耦合和双量子位操作对两个量子点的取向敏感。对于垂直量子位阵列，存在一个最优的量子位间距，适合于量子位-量子位相互作用的电压控制。
英文摘要：
We present a theory of valence holes as Luttinger spinor based qubits in p-doped self-assembled quantum dots within the 4-band $k\cdot p$ formalism. The two qubit levels are identified with the two chiralities of the doubly degenerate ground state. We show that single qubit operations can be implemented with static magnetic field applied along the $z$ and $x$ directions, acting analogously to the $\hatσ_z$ and $\hatσ_x$ operators in the qubit subspace respectively. The coupling of two dots and hence the double qubit operations are shown to be sensitive to the orientation of the two quantum dots. For vertical qubit arrays, there exists an optimal qubit separation suitable for the voltage control of qubit-qubit interactions.
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