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IEEE Access

Balanced Homodyne Detector With Independent Phase Control and Noise Detection Branches

JinRong Wang, Wenhui Zhang, Long Tian, Yajun Wang, Rongcao Yang, Jing Su, Yaohui Zheng

Published Jan 1, 2019• 9 citations
Publisher

Abstract

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.

DOI
10.1109/access.2019.2914145

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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.
Balanced Homodyne Detection (BHD), introduced in the 1970s, enables highly sensitive detection of phase and amplitude variations in weak light. Initially developed as an advanced optical detection technique, it rapidly became essential in quantum optics for accurately quantifying quadrature components and detecting squeezed states at the shot-noise limit. Today, BHD plays a critical role in diverse fields such as high-precision quantum metrology, gigabit speed optical communications, gravitational wave detection, and large-scale quantum information systems. In this study, a BHD simulation was implemented with a 90 phase difference between the local oscillator and the signal, thus enabling the extraction of the phase quadratureP^component of the optical field.
The study, generation, and application of squeezed states of light has been a widely researched area in quantum optics. Vacuum fluctuations or photon shot noise quantified in terms of quadrature operators, impose a quantum limit on the sensitivity of quantum sensing and quantum communication systems. Thus, squeezing the quadratures reduces the quantum uncertainty in a particular quadrature. The amount of squeezing is, however, highly limited by the optics in the experiments and the performance of the balanced homodyne detection (BHD) systems employed for the detection of the squeezed states of light. In this paper, we have analytically studied the steady state, transient and noise responses of the balanced homodyne detection (BHD) circuitry by comparing two configurations i.e., a variable gain circuit with a differential amplifier and a current subtracting circuit with differential fine-tuning circuit (DFTC) and an adjustable bias (ABV). The current subtracting circuit design with DFTC and ABV has been adopted from Xiaoli et al. [1] in order to compensate for any differences in the photodiode performance characteristics in the two arms. A variable gain configuration is used to compensate for the unequal beam splitter ratio and uneven optical powers in the two arms. In order to further improve the noise performance of the system, a differential amplifier is used in the output of the variable gain configuration. A high transimpedance gain (~>70 dB) and a low noise (~<500nV/ √ Hz) performance can be achieved using these circuits as per our analysis.
The Wigner function is a quasi-probability distribution of quantum states of light that describes the probability amplitude of any state through their marginal distribution. The Wigner function can be reconstructed through quantum tomography which uses the information obtained from light quadratures to reconstruct a 3d image of the Wigner function. Light quadratures can be obtained by means of balanced homodyne detection (BHD). BHD uses a controlled interference between the quantum field to be characterized and a local oscillator, which is a coherent source with well-defined frequency and phase. The main feature of a BHD is its ability to measure extremely small noise signals, even below the quantum vacuum limit for squezeed light. To obtain precise measurements in BHD it is necessary to characterize the noise sources in the electronics of the BHD such as Johnson noise and fundamental noises such as shot noise. To characterize the noise in the BHD, time based and frequency-based measurements were performed to find the quantum to classical noise ratio (QCNR). QCNR measures the capacity of the BHD to distinguish quantum noise. A high QCNR allows us to make reliable measurements of the light quadratures. For this project we developed a circuit based on the one presented by Lang et al. in low noise balanced homodyne detector for quantum noise measurements.
We discuss the excess noise contributions of a practical balanced homodyne detector (BHD) in Gaussian-modulated coherent-state (GMCS) quantum key distribution (QKD). We point out that the key generated from the original realistic model of GMCS QKD may not be secure. In our refined realistic model , we take into account excess noise due to the finite bandwidth of the homodyne detector and the fluctuation of the local oscillator (LO). A high-speed BHD suitable for GMCS QKD in the telecommunication wavelength region is built and experimentally tested. The 3 dB bandwidth of the BHD is found to be 104 MHz and its electronic noise level is 13 dB below the shot noise at an LO level of 8.5 × 10 8 photons per pulse. The secure key rate of a GMCS QKD experiment with this homodyne detector is expected to reach Mbits s −1 over a few kilometers.
Squeezing-based quantum metrology has been extensively applied in the field of precision measurement. Performance characteristics of squeezed light are obtained by a balanced homodyne detector. Here, we report a large dynamic range balanced homodyne detector with low-noise and high-signal-to-noise-ratio (SNR) for broadband squeezed light measurement. We perform a comprehensive theoretical analysis of the SNR in a wide bandwidth and experimentally analyze the important printed circuit board (PCB) layout and electronic components. Consequently, in the 100 MHz frequency band, the SNR and common mode rejection ratio (CMRR) rise over 12.6 dB and 55 dB, respectively, and the electronic noise is suppressed below -90 dB. The directly observed squeezing level at 1550 nm with the specified detector is 11.8 dB at 2 MHz and 3.1 dB at 100 MHz.
We analyze the balanced homodyne detection technique in the detection of squeezed light, which is controlled by dither locking scheme. We discuss how the balanced homodyne detection efficiency influences the detected degree of squeezing. Also, fluctuation in the relative phase between the local beam and the squeezed light is discussed, since a little phase fluctuation would decrease the detected degree of squeezing greatly. Then, the dither locking technique is studied in detail, which is used to lock the relative phase between the local beam and the squeezed light. The simulation experiments and theoretically results show that the balanced homodyne detection technique and the dither locking scheme are efficient methods to get more accurate degree of squeezing in the preparation of the squeezed states of light.