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arXiv:1810.08767 · Annalen der Physik

NOON State Generation with Phonons in Acoustic Wave Resonators Assisted by a Nitrogen‐Vacancy‐Center Ensemble

Jiu‐Ming Li, Ming Hua, Xue‐Qun Yan

Published Dec 27, 2018• 4 citations
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Abstract

Abstract Since the quality factor of an acoustic wave resonator (AWR) reached 1011, AWRs have been regarded as a good carrier of quantum information. In this paper, a scheme to construct a NOON state with two AWRs assisted by a nitrogen‐vacancy‐center ensemble (NVE) is proposed. The two AWRs cross each other vertically, and the NVE is located at the center of the crossing. By considering the decoherence of the system and using resonant interactions between the AWRs and the NVE, and the single‐qubit operation of the NVE, a NOON state can be achieved with a fidelity higher than 98.8% when the number of phonons in the AWR is .

DOI
10.1002/andp.201800430

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Annalen der Physik•Feb 2, 2025•1 citation
Abstract Since the quality factor of an acoustic wave resonator (AWR) reached 1011, AWRs have been regarded as a good carrier of quantum information. In this paper, a scheme to construct a NOON state with two AWRs assisted by a nitrogen‐vacancy‐center ensemble (NVE) is proposed. The two AWRs cross each other vertically, and the NVE is located at the center of the crossing. By considering the decoherence of the system and using resonant interactions between the AWRs and the NVE, and the single‐qubit operation of the NVE, a NOON state can be achieved with a fidelity higher than 98.8% when the number of phonons in the AWR is .
In this paper, we propose a system that consists of two acoustic wave resonators (AWRs) coupled to a nitrogen-vacancy-center ensemble (NVE) for constructing Greenberger–Horne–Zeilinger (GHZ) states and controlled-phase (c-phase) gate according to the recent study of surface acoustic waves. The two AWRs are fabricated on a diamond surface in perpendicular way, and the NVE is placed at the center of the crossing. By using the resonant interactions and microwave pulses, we present the protocols of constructing the GHZ states and the c-phase gate in the phonon–spin system. The numerical simulation shows that the fidelities of the two-excitation Bell state, three-excitation Bell state and the c-phase gate can reach 99.19[Formula: see text], 99.46[Formula: see text] and 98.62[Formula: see text], respectively, by considering the decoherence of the system.
Abstract Recently, quantum information processing (QIP) on acoustics wave resonators (AWRs) has attracted much attention as the quality factor of AWR has been increased to 10 11 , which means the time of phonons stored in the AWR can reach the order of seconds. To achieve the large-scale QIP on AWRs, one should complete quantum entangled operations on nonlocal AWRs. Different from previous work, we propose a one-step all-resonance scheme to generate Bell states on two nonlocal AWRs coupled to two nitrogen-vacancy center ensembles (linked by an AWR quantum bus) respectively. One-step all-resonance operation makes the scheme easier to be experimentally implemented.
As a result of study on surface acoustic waves (SAWs), we propose protocols for generating the quantum entanglement on phonons. In the protocol of phonon–photon entanglement generation, the hybrid system is composed of a surface acoustic wave resonator (SAWR), a superconducting resonator (SR) and a nitrogen-vacancy-center ensemble (NVE). For the generation of three phonon modes entanglement, the SAWRs are coupled to the corresponding NVEs, while the NVEs interact with the same SR. Both protocols exploit the resonant interaction and the dispersive coupling. By considering the decoherence of the corresponding systems, the fidelities of the phonon–photon entanglement and three phonon modes entanglement reach 99.35% and 91.01%, respectively. Generalizing the approaches, we also present the protocol of multiple phonon modes entanglement.
We propose a scheme to realize the quantum non-demolition single phonon detection and emission based on the interaction between the NV ensemble and the superconducting flux qubit. The resonant frequency of the flux qubit will change with the NVE absorbing a single phonon, then we can detect the single phonon state through measuring the frequency shift of the flux qubit. The fidelity of the absorbing process can reach a much high value. After the detection process, the NVE can emit the absorbed phonon as we apply a driving pulse which is in reverse to the absorbing process. The overlap between the input and the output phonon shapes can reach 98.57%98.57\%98.57%. The scheme can be realized under the realistic experimental condition.
ABSTRACT Narrow linewidth and macroscopically accessible mechanical microstructures make mechanical squeezing a promising platform for ultra‐high‐sensitivity detection and fundamental investigations of classical‐to‐quantum quantum effects. The conventional approaches to utilizing optomechanical interactions for generating mechanical squeezing are restricted to the resolved‐sideband regime, limiting their practical applicability. In this paper, we propose a scheme to generate a highly squeezed mechanical state in both resolved‐ and unresolved‐sideband optomechanical systems assisted by nitrogen‐vacancy ensembles (NVEs). By coupling two NVEs to the optical cavity, the detrimental counter‐rotating terms that degrade mechanical squeezing are efficiently suppressed via destructive quantum interference originating from the NVEs‐cavity coupling channels. Numerical results reveal that mechanical squeezing exhibits non‐monotonic behavior with respect to both the optomechanical coupling ratio and the cavity‐spin coupling strength. Moreover, the achievable degree of mechanical squeezing degrades as the initial thermal‐phonon occupation of the mechanical resonator and the dissipation rates of the NVEs increase. This work offers an alternative feasible pathway toward strong mechanical squeezing beyond the 3‐dB limit and broadens the application scope of hybrid solid‐state‐optomechanical quantum systems.
Abstract With the assistance of the practical nonlinear interaction of a nitrogen‐vacancy (NV) center coupled with whispering‐gallery‐mode (WGM) microresonator, a heralded preparation protocol of four‐qubit hybrid decoherence‐free states (logical qubits) is presented, where a single logical qubit encoded on the state of the hybrid system composed of two polarization photons and two NV centers is fully protected against collective decoherence. Compared with the three‐qubit decoherence‐free states, the four‐qubit decoherence‐free states have higher dimensions, stronger collective decoherence resistance, richer quantum coherence and higher fault tolerance. For an ideal photon‐NV interaction, the efficiencies and fidelities of the hybrid decoherence‐free states can, in principle, be close to unity. Otherwise, being directed against a nonideal interaction, the two error‐heralded quantum blocks of the preparation process make their fidelities near‐perfect at the expense of slight reductions of their efficiencies. Moreover, this hybrid decoherence‐free states work in a heralded way and may be experimentally feasible with current technique on regulating the NV‐WGM microresonator system.