Abstract

Realizing controlled quantum dynamics via the magnetic interactions between colour centres in diamond remains a challenge despite recent demonstrations for nanometre separated pairs. Here we propose to use the intrinsic acoustical phonons in diamond as a data bus for accomplishing this task. We show that for nanodiamonds the electron–phonon coupling can take significant values that together with mode frequencies in the THz range can serve as a resource for conditional gate operations. Based on these results, we analyse how to use this phonon-induced interaction for constructing quantum gates among the electron-spin triplet ground states, introducing the phonon dependence via Raman transitions. Combined with decoupling pulses this offers the possibility for creating entangled states within nanodiamonds on the scale of several tens of nanometres, a promising prerequisite for quantum sensing applications.

Highlights

  • Tremendous progress in understanding and manipulating the nitrogen vacancy (NV) center in diamond throughout the last decade revealed its promising capabilities for quantum information and sensing applications

  • The coupling to phonons is much less studied. Whereas this mechanism serves as the prominent data bus for conditional quantum operations in the trapped ion approach to quantum computing [15] and has been proposed to allow even for a strong coupling regime in phonon cavity structures in silicon [16], intrinsic phonon coupling is assumed to be inaccessible in macroscopic diamonds at room temperature

  • The coupling to magnetized nanomechanical oscillators as AFM cantilevers was successfully performed, allowing for the sensing of the vibrational mode [17, 18] and even for the coherent manipulation of the NV center electron spin state [19], that might provide the basic ingredient for future phonon mediated quantum networks [20]

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Summary

Introduction

Tremendous progress in understanding and manipulating the nitrogen vacancy (NV) center in diamond throughout the last decade revealed its promising capabilities for quantum information and sensing applications. One approach for coupling distinct NV-centers makes use of their dipolar interactions [7, 9, 10], which is limited by the strong distance dependence of the coupling and has been demonstrated only for very closely separated pairs. Another method consists of interconnecting the NV center solid state spin qubits with photons [8], that has lead to extensive research in the design of cavities and photon couplings [11, 12, 13, 14]. We study the coupling strength to long wavelength (low frequency) acoustical modes and analyze the possibility to exploit these global modes for entanglement operations by creating a Raman-induced phonon coupling within the ground state electron triplet states of the NV center

Coupling of the nitrogen vacancy center to phonons
Phonon mediated gate interaction
Setup and first effective form
Second effective form and gate Hamiltonian
Comparison to a direct gate implementation
Time-conditioned gate
Size limitation
Influence of dipolar couplings
Experimental implementation
Summary
Full Text
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