Generation of multiparticle entangled states of nitrogen-vacancy centers with carbon nanotubes
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Generation of multiparticle entangled states of nitrogen-vacancy centers with carbon nanotubes Bo-Long Wang1 · Bo Li1 · Xiao-Xiao Li1 · Fu-Li Li1 · Peng-Bo Li1 Received: 1 January 2020 / Accepted: 1 June 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract We propose an efficient scheme for generating multiparticle entangled states between two arrays of nitrogen-vacancy centers that interact with two magnetically coupled carbon nanotubes, respectively. We show that through adjusting the external driving microwave fields and the dc currents flowing through the nanotube mechanical resonators, the multiparticle entanglement between the separated arrays of NV centers can be engineered and tuned dynamically. The experimental feasibility of this scheme is analyzed, as well as the method to produce the NOON states of phonon modes is presented using the generated multiparticle entangled states. This scheme may have interesting applications for quantum information processing. Keywords Quantum information · Carbon nanotubes · Nitrogen-vacancy centers · Multiparticle entanglement · NOON states
1 Introduction Owing to their outstanding material properties, carbon-based materials are of increasing interest for use in nanomechanics and quantum technology. Allotropes of carbon (such as diamond [1–5], nanotubes [6–20] and graphene [21–23]) have been extensively used as mechanical resonators in nanomechanics. As for quantum information processing, solid-state systems such as nitrogen-vacancy (NV) centers in diamond have attracted great interests recently. Due to their long coherence times [24–26] and high controllability [27–31], NV centers in diamond have exhibited excellent features for fundamental research [32–34] and practical applications in quantum information science, including the preparation of quantum states [35–41], realization of quantum logic gates [42–47], and transfer or storage of quantum information [48–51]. Tradi-
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Peng-Bo Li [email protected] Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, Department of Applied Physics, Xi’an Jiaotong University, Xi’an 710049, China 0123456789().: V,-vol
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tionally, magnetic tips mounted on vibrating cantilevers are often used to generate the magnetic coupling between NV spins and the mechanical motion in such setups [40,52,53]. By the relative motion of the NV spins and the source of local magnetic field gradients induced by the magnetic tips, the interaction arises and can be tuned by the relative distance. However, it is still a great challenge to create well-controlled, strong local gradients for such setups, especially when arrays of NV centers are positioned close to the same cantilever. Multiparticle entangled states are indeed valuable resources, which play a crucial role in quantum information processing, such as quantum computation, quantum networks, quantum teleportation, and quantum cryptography [54–59]. A plenty of schemes for generating
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