Unified generation and fast emission of arbitrary single-photon multimode $W$ states

Abstract

We propose a unified and deterministic scheme to generate arbitrary single-photon multimode $W$ states in circuit QED. A three-level system (qutrit) is driven by a pump-laser pulse and coupled to $N$ spatially separated resonators. The coupling strength for each spatial mode $g_i$ totally decide the generated single-photon N-mode $W$ state $|W_N⟩=\frac{1}{A}{\sum }_{i=1}^N{g}_i|0_1{0}_2\cdots 1_i{0}_{i+1}\cdots 0_N⟩$, so arbitrary $|W_N⟩$ can be generated just by tuning $g_i$. We could not only generate $W$ states inside resonators but also release them into transmission lines on demand. The time and fidelity for generating (or emitting) $|W_N⟩$ can both be the same for arbitrary $N$. Remarkably, $|W_N⟩$ can be emitted with probability reaching $98.9\%$ in $20-50$ ns depending on parameters, comparable to the recently reported fastest two-qubit gate ($30-45$ ns). Finally, the time evolution process is convenient to control since only the pump pulse is time-dependent.

arXiv comment8 pages, 6 figures

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• Dark-state engineering in Fock-state lattices
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