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Optics Express

Precise control of squeezing angle to generate 11 dB entangled state

Wenhui Zhang, Nanjing Jiao, Ruixin Li, Long Tian, Yajun Wang, Yaohui Zheng

Published Jul 6, 2021• 21 citations
Publisher

Abstract

The strength of the quantum correlations of a continuous-variable entangled state is determined by several relative phases in the preparation, transmission, and detection processes of entangled states. In this paper, we report the first experimental and theoretical demonstrations of the precision of relative phases associated with the strength of quadrature correlations. Based on the interrelations of the relative phases, three precisely phase-locking methodologies are established: ultralow RAM control loops for the lengths and relative phases stabilization of the DOPAs, difference DC locking for the relative phase between the two squeezed beams, and DC-AC joint locking for the relative phases in BHDs. The phase-locking loops ensure the total phase noise to be 9.7±0.32/11.1±0.36 mrad. Finally, all the relative phase deviations are controlled to be in the range of -35 to 35 mrad, which enhances the correlations of the amplitude and phase quadratures to -11.1 and -11.3 dB. The entanglement also exhibits a broadband squeezing bandwidth up to 100 MHz. This paves a valuable resource for experimental realization and applications in quantum information and precision measurement.

DOI
10.1364/oe.428501

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The strength of the quantum correlations of a continuous-variable entangled state is determined by several relative phases in the preparation, transmission, and detection processes of entangled states. In this paper, we report the first experimental and theoretical demonstrations of the precision of relative phases associated with the strength of quadrature correlations. Based on the interrelations of the relative phases, three precisely phase-locking methodologies are established: ultralow RAM control loops for the lengths and relative phases stabilization of the DOPAs, difference DC locking for the relative phase between the two squeezed beams, and DC-AC joint locking for the relative phases in BHDs. The phase-locking loops ensure the total phase noise to be 9.7±0.32/11.1±0.36 mrad. Finally, all the relative phase deviations are controlled to be in the range of -35 to 35 mrad, which enhances the correlations of the amplitude and phase quadratures to -11.1 and -11.3 dB. The entanglement also exhibits a broadband squeezing bandwidth up to 100 MHz. This paves a valuable resource for experimental realization and applications in quantum information and precision measurement.
Squeezed state light is a fundamental resource for many quantum optics experiments. Important applications like quantum-enhanced magnetometer and quantum key distribution, require the squeezing level as high as possible. In balanced homodyne detection, the detector output is directly proportional to the noise of the squeezed beam. The detected quadrature is dependent on the relative phase between the squeezed beam and local oscillator. Here, we present a balanced homodyne detector (BHD) with independent phase control and noise detection branches. The independence between the phase control and noise detection branches is experimentally verified, the two branches are independently optimized according to the practical requirements. With the BHD, a bright squeezed light at 1550 nm with quantum noise reduction of 10.3 dB is directly detected. After stabilizing the relative phase between the squeezed states and local oscillator by the phase locking branch of the BHD, the fluctuation of the noise suppression is ±0.2 dB by 1-h testing time.
A squeezed state is one of the most vital quantum resources in quantum information processing. The extensive attention has increasingly shifted to not only the squeezed degree but also the squeezed bandwidth in quantum precise measurement. Here, we demonstrate the generation of a bandwidth-tunable squeezed state by exploiting the entangled sideband modes and the postprocessing scheme, with the quantum noise reduction of $8.0\ifmmode\pm\else\textpm\fi{}0.3$ dB across a wide frequency range from 10 Hz to 10 MHz. Moreover, the bandwidth and rotation frequency can be conveniently manipulated in the whole frequency range according to the application requirement. There is no doubt that the demonstration will open up some potential applications about squeezed-state interaction with atoms.
We demonstrate experimentally quantum frequency up-conversion of a continuous variable entangled optical field via sum-frequency-generation process. The two-color entangled state initially entangled at 806 and 1518 nm with an amplitude quadrature difference squeezing of 3.2 dB and phase quadrature sum squeezing of 3.1 dB is converted to a new entangled state at 530 and 1518 nm with the amplitude quadrature difference squeezing of 1.7 dB and phase quadrature sum squeezing of 1.8 dB. Our implementation enables the observation of entanglement between two light fields spanning approximately 1.5 octaves in optical frequency. The presented scheme is robust to the excess amplitude and phase noises of the pump field, making it a practical building block for quantum information processing and communication networks.
We observed continuous-variable entanglement between two bright beams emitted above threshold by a phase-difference-locked ultrastable optical parametric oscillator. The amplitude-difference squeezing is -3 dB and the phase-sum one is -1.35 dB. The beams are classically phase-locked at a frequency difference of 161.8273240(5) MHz, continuously tunable by the OPO crystal temperature. Such unprecedented frequency-difference stability paves the way for implementing quantum frequency multiplexing and CV quantum information in the frequency domain.
Squeezed states of light produced by nonlinear interactions in periodically poled crystals are specially engineered quantum states where the uncertainties in the phase or amplitude quadrature can be traded against each other. These low-noise states have applications in quantum communication, sensing, and computing [1]. To fully exploit these applications, precise phase locking of the squeezed light to a local oscillator (LO) phase is essential. For single-pass waveguides the used locking technique has relied on the injection of a frequency-shifted input seed to generate the error signal [1]. Here we assess the advantages and challenges of implementing a technique originally devised for cavity-based squeezed light sources called quantum noise locking (QNL) [2], which features a simplified feedback structure, eliminating the need for an additional frequency shifted field, thereby avoiding seeding and extra optical components. This work experimentally extends QNL to periodically poled LiNbO3waveguides for the first time, which allows for phase controlled squeezing, with less than 10 mrad phase noise, over a 50 GHz bandwidth.
Bright two-color continuous variable (CV) entangled optical beams at 0.8 and 1.5 μm are generated by utilizing a phase-insensitive optical parametric amplifier with only 1.5 μm signal field injected. Without locking the relative phase between the signal and pump fields, the amplitude quadrature difference squeezing of 3.30 dB and phase quadrature sum squeezing of 3.35 dB are observed, which satisfy the entanglement criterion. The demonstrated scheme here eliminates the necessity of precise phase control between the signal and pump fields and enables robust generation of two-color CV entangled states.