Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Optics Express

Adiabatic weak coherent MHz linewidth O-band single-photon carrier for low erroneous phase decoding

Cheng-Lin Tsou, Chih‐Hsien Cheng, Gong‐Ru Lin

Published May 15, 2024• 0 citations
Publisher

Abstract

For weak coherent single-photon secure data communication among short-reach metropolitan intra-/inter-city networks at the O-band (1250-1350 nm), the commercially available semiconductor laser sources are emerging but still suffering from high single-mode-fiber (SMF) loss, broad linewidth, and unstable wavelength. To overcome such disadvantages for enabling the efficient phase-coding link with sufficient secure key rate, a specifically designed adiabatic package with active temperature-/current-feedback control is proposed for the paired O-band MHz-linewidth master-to-slave injection-locked DFBLDs and a polarization-maintaining 1-bit-delay interferometer is stabilized with using a passively adiabatic cell to achieve accurate differential phase decoding. Even though, the phonon-induced phase fluctuation still occurs at rising and falling edges of the decoded long-pattern secure data bits delivered from the slave DFBLD, which is mainly attributed to the intra-cavity heating under excessive free-carrier generation via the master DFBLD injection. To stabilize the differential-phase-shift (DPS) keying protocol, the phase-code distortion caused by over-injection-induced Auger heating is effectively suppressed by reducing the overly biased injection with precise master-injection-level control. The rising-/falling-edge damping distortion of the phase-shift-encoded secure bit-stream envelope is suppressed by appropriately decreasing the DC bias current and adjusting the AC encoding amplitude of the master DFBLD. Such operation reduces the incorrect π phase shift in the injection-locked slave DFBLD biased at optimized below-threshold DC offset, thus allowing single-photon DPS-keying data transmission over 15-km SMF with slightly increasing the single-photon bit-error ratio from <3% (0-km) to 6.2% (15-km).

DOI
10.1364/oe.518118

Related papers

O-band single-photon quantum key distributor master-to-slave injection-locked DFBLD pair

Cheng-Lin Tsou, Chih‐Hsien Cheng, Atsushi Matsumoto +2 more

In comparison with the rapidly developing progress on the optical C-band (1525-1565 nm) master-to-slave injection-locked transmitter to perform the coherent single-photon quantum key distribution (QKD), the development on the O-band (1250-1350 nm) QKD transmitter is somewhat delayed as the commercially available wavelength-matched narrow-linewidth distributed feedback laser diode (DFBLD) pair is hardly accessible up to now. By using the DFBLDs with only sub-MHz linewidth and relatively deviated wavelength for the first time, this work demonstrates the optically differential-phase-shift-keying (DPS) QKD by an O-band master-to-slave injection-locked DFBLD pair. The master and slave DFBLDs with wavelength fluctuations of ±0.05% and ±0.2 pm are controlled by a thermo-electric cooler with a feedback gain of 100. The 1-bit delay interferometer (DI) under thermo-insulation maintains its visibility at >96% with dP o /P o and dP o /dt measured below ±0.1% and ±1 × 10 −3 mW/s. By RZ-OOK modulating the master DFBLD with step-like power coding at 150 µW to induce π phase shift in the injection-locked slave DFBLD, the rising-/falling-edge DPS envelope distortion of the slave DFBLD diminishes by decreasing the bias current of the master DFBLD from 7I th (35 mA) to 2I th (10 mA). This phenomenon enables the 128-bit DPS-QKD transmission with a quantum bit-error rate (QBER) of 3.57% and a secure key rate of 3.524 kbit/s in the 6-km SMF link. The O-band injection-locked single-photon DPS-QKD bit-stream with a mean photon number of 0.2 #/bit minimizes its decoding QBER to 3.88% and 4.84% for 512-bit and 1024-bit, respectively.

Optics Continuum•Apr 8, 2024•0 citations

Novel Single-Photon Differential Phase-Shift Keying With Asymmetric High-Bit-Rate Coding and Low-Bit-Rate Gated Receiving Coding Data Format

Kuan-Wei Hu, Chih‐Hsien Cheng, Atsushi Matsumoto +4 more

A novel single-photon differential phase-shift keying (DPSK) scheme with asymmetric high-bit-rate coding (at 192 Mbit/s) and low-bit-rate gating (1 Mbit/s) coding data format is proposed to stabilize the long-term and long-distant point-to-point secure communication over 40-km standard single-mode-fiber (SSMF). The single-photon carrier is served by an attenuated distributed-feedback laser diode with ultralow phase and power fluctuations of Δθ/θ<0.005% and ΔP/P<0.01%. The single-photon carrier successively encoded with pulsed return-to-zero (RZ) clock and DPSK bits at 192-Mbit/s is decoded by a synchronized one-bit-delay interferometer at 192-Mbit/s with enhanced immunity to spectral and thermal noise. The single-photon DPSK data is detected within 1-ns transistor-transistor logic (TTL) gated window at 0.1% duty-cycle of the 1-Mbit/s receiver. Such an asymmetric DPSK encoding and receiving coding data format further stabilize the single-photon DPSK codes with a quantum bit error ratio (QBER) of 0.038% when the interfered free spectral range of 4.8 MHz expands broader than the linewidth of the single-photon carrier of 293 kHz to ensure the interferometric visibility of 99.2% with the operating time beyond 1065 s. Decoding the single-photon DPSK bits with an average photon number of 0.2 #/bit guarantees the BER at 1.5% with a secure key rate of 113.4 kbit/s under the back-to-back transmission, and remains the BER at 3.2% with a secure key rate of 10.1 kbit/s over 40-km-SSMF transmission. The low-bit-rate-gated receiving of high-bit-rate transmitted DPSK coding data format has unveiled a novel stabilization scheme for single-photon secure communications.

Journal of Lightwave Technology•May 15, 2024•1 citation

Asynchronous-bit-rate differential phase-shift-keying

You-Cheng Lin, Kuan-Wei Hu, Hsing-Yi Huang +9 more

An adaptive differential-phase-shifting (DPS) quantum key distribution (QKD) protocol improved by encoding asynchronous-bit-rate with harmonic clock tunability, decoded by shortened delay-line interferometer (DLI) with enhancing stability, and received by single-photon detection with long hold-off is demonstrated to realize low-erroneous transmission. To achieve long-term stabilized visibility with a maintained quantum bit-error-ratio (QBER) and secure key rate, the shortened and polarized DLI enlarges its free-spectral range (FSR) and reduces its power-to-wavelength slope (δP/δλ) to suppress its sensitivity to thermal gradient, channel leakage, and wavelength disturbance. Extremely low power and wavelength drifts of ΔP/P < ±0.02% and Δλ/λ = ±6.45 × 10−8 can be achieved, even when using a single-mode QKD carrier with a relatively broadened 300-kHz linewidth. Flexibly expanding the 1-bit-delay FSR of the polarized DLI from 0.04 to 1.00 GHz improves its immunity to environmental disturbances, enabling the DPS-QKD decoding with 210–213 patterns, 3.2% QBER, and 17.46-kbit/s under 0.22 photon/pulse in average. The asynchronous-bit-rate DPS-QKD protocol enables harmonic expansion of DLI’s FSR at limited single-photon avalanche detector’s bit rate, which lengthens the duration of stable visibility to support long-pattern DPS-QKD.

APL Photonics•Dec 1, 2024•0 citations

Long-Term Stable Polarized Adiabatic Interfered Decoder for Differential Phase Shift Quantum Key

You-Cheng Lin, You-Xin Wang, Shih-Chang Hsu +5 more

Under the quantum key distribution with differential phase-shift-keying protocol, the ultimate stability of the system is limited by the residual wavelength drift of the quantum-key carrier and the polarization/refractive-index/physical-length fluctuations induced by environmental thermal disturbance. To permanently overcome such a shortcoming, a 1-bit-delayed interferometric fiberized decoder with ultrastable visibility maintenance and long-term immunity to environmental perturbations is demonstrated by employing all polarization maintaining-fiber to construct an asymmetric-arm Mach-Zehnder interferometer, and surrounding such a delay-line interferometric decoder with thermal-isolated sponge and styrofoam container. Receiving the DPS-QKD bit-stream with a high sifting key rate and low bit-error ratio is approached by maintaining the high interfered visibility and eliminating the wavelength drift with a highly adiabatic package. Such an ultrastable long-term 1-bit delay interferometric decoder is particularly suitable for the persistent DPS-QKD operation towards future commercialization.

IEEE photonics journal•Oct 20, 2025•0 citations

Automated Active-Visibility-Control Loop for Stabilized DPS-QKD Decoding Under Dynamic Wavelength Drift

Kuan-Wei Hu, Chih‐Hsien Cheng, Atsushi Matsumoto +2 more

Automated and instantaneous stabilizing control of the quantum key decoder is the mandatory procedure, which guarantees real-time and high-speed differential-phase-shift (DPS) quantum key distribution (QKD) at low erroneous rate, and ensures the delay-line interferometric (DLI) decoding of the weak-coherent-pulse quantum bit-stream at a qualified and constant visibility. As the QKD system often suffers from environmental temperature/acoustic/vibrational perturbations, employing in situ software-controlled active-feedback-loop circuits is the alternative solution, which automatically preserves the constant visibility of a DLI decoder by dynamically tuning the wavelength of the weak-coherent-pulse carrier. To compensate for wavelength or phase inaccuracy, this work proposes the active-visibility-control (AVC) of the DLI by in situ monitoring its interferometric visibility and fine controls it with combined proportion-integral-loop and hill-climbing-stepper (PI-loop and HC-stepper) feedback algorithms, thus providing the 40-km-long SMF transmission of the weak-coherent-pulse bit-stream at 192-Mbit/s clock rate and 1-Mbit/s receiving rate. By adopting the PI-loop+HC-stepper combined algorithm to stabilize the long-term visibility of the AVC-DLI, such an AVC-DLI loop effectively overcomes environmental disturbances to confine the overall spectral linewidth and wavelength drift of the DPSQKD carrier within 266 kHz, and enabling the predicted lowest quantum bit-error-ratio (QBER) of 0.4% when decoding the weak-coherent-pulse bit at the first second. With the AVC-DLI, the back-to-back weak-coherent-pulse transmission guarantees a secure key rate of 91.6 kbit/s with a QBER stabilized to 1.8% over 10 min, and the long-reach capability is extended to 40-km transmission with a secure key rate of 2.6 kbit/s and QBER of 3.7% for 25–60 min. The technical improvement of AVC-DLI unveils the dynamic long-distance weak-coherent-pulse DPS-QKD transmission.

IEEE Transactions on Quantum Engineering•Jan 1, 2026•0 citations

High-bandwidth Coherence Cloning using Optical-Phase-Locking Feedforward

Chen Jia, Zhen-Xing Hua, Yu-Xin Chao +1 more

Ultra-narrow-linewidth lasers with suppressed high-frequency phase noise are critical for quantum control and precision metrology. While optical phase locking (OPL) is the standard technique for cloning the coherence of such sources, its effectiveness is often limited at high frequencies by feedback latency. We present a robust feedforward architecture that overcomes this limitation by recycling and demodulating the existing master-slave beat signal to drive a single electro-optic modulator for near-instantaneous noise cancellation. This approach eliminates the extraneous sidebands and transmission losses typical of more complex modulators. Through active stabilization of the beat amplitude and demodulation phase, we demonstrate robust suppression exceeding 30 dB from 10 kHz to 10 MHz. This hardware-efficient framework is readily compatible with standard OPL setups, offering a scalable solution for high-fidelity coherent control.

quant-pharXiv:2604.02218•Apr 3, 2026•0 citations
For weak coherent single-photon secure data communication among short-reach metropolitan intra-/inter-city networks at the O-band (1250-1350 nm), the commercially available semiconductor laser sources are emerging but still suffering from high single-mode-fiber (SMF) loss, broad linewidth, and unstable wavelength. To overcome such disadvantages for enabling the efficient phase-coding link with sufficient secure key rate, a specifically designed adiabatic package with active temperature-/current-feedback control is proposed for the paired O-band MHz-linewidth master-to-slave injection-locked DFBLDs and a polarization-maintaining 1-bit-delay interferometer is stabilized with using a passively adiabatic cell to achieve accurate differential phase decoding. Even though, the phonon-induced phase fluctuation still occurs at rising and falling edges of the decoded long-pattern secure data bits delivered from the slave DFBLD, which is mainly attributed to the intra-cavity heating under excessive free-carrier generation via the master DFBLD injection. To stabilize the differential-phase-shift (DPS) keying protocol, the phase-code distortion caused by over-injection-induced Auger heating is effectively suppressed by reducing the overly biased injection with precise master-injection-level control. The rising-/falling-edge damping distortion of the phase-shift-encoded secure bit-stream envelope is suppressed by appropriately decreasing the DC bias current and adjusting the AC encoding amplitude of the master DFBLD. Such operation reduces the incorrect π phase shift in the injection-locked slave DFBLD biased at optimized below-threshold DC offset, thus allowing single-photon DPS-keying data transmission over 15-km SMF with slightly increasing the single-photon bit-error ratio from <3% (0-km) to 6.2% (15-km).
In comparison with the rapidly developing progress on the optical C-band (1525-1565 nm) master-to-slave injection-locked transmitter to perform the coherent single-photon quantum key distribution (QKD), the development on the O-band (1250-1350 nm) QKD transmitter is somewhat delayed as the commercially available wavelength-matched narrow-linewidth distributed feedback laser diode (DFBLD) pair is hardly accessible up to now. By using the DFBLDs with only sub-MHz linewidth and relatively deviated wavelength for the first time, this work demonstrates the optically differential-phase-shift-keying (DPS) QKD by an O-band master-to-slave injection-locked DFBLD pair. The master and slave DFBLDs with wavelength fluctuations of ±0.05% and ±0.2 pm are controlled by a thermo-electric cooler with a feedback gain of 100. The 1-bit delay interferometer (DI) under thermo-insulation maintains its visibility at >96% with dP o /P o and dP o /dt measured below ±0.1% and ±1 × 10 −3 mW/s. By RZ-OOK modulating the master DFBLD with step-like power coding at 150 µW to induce π phase shift in the injection-locked slave DFBLD, the rising-/falling-edge DPS envelope distortion of the slave DFBLD diminishes by decreasing the bias current of the master DFBLD from 7I th (35 mA) to 2I th (10 mA). This phenomenon enables the 128-bit DPS-QKD transmission with a quantum bit-error rate (QBER) of 3.57% and a secure key rate of 3.524 kbit/s in the 6-km SMF link. The O-band injection-locked single-photon DPS-QKD bit-stream with a mean photon number of 0.2 #/bit minimizes its decoding QBER to 3.88% and 4.84% for 512-bit and 1024-bit, respectively.
A novel single-photon differential phase-shift keying (DPSK) scheme with asymmetric high-bit-rate coding (at 192 Mbit/s) and low-bit-rate gating (1 Mbit/s) coding data format is proposed to stabilize the long-term and long-distant point-to-point secure communication over 40-km standard single-mode-fiber (SSMF). The single-photon carrier is served by an attenuated distributed-feedback laser diode with ultralow phase and power fluctuations of Δθ/θ<0.005% and ΔP/P<0.01%. The single-photon carrier successively encoded with pulsed return-to-zero (RZ) clock and DPSK bits at 192-Mbit/s is decoded by a synchronized one-bit-delay interferometer at 192-Mbit/s with enhanced immunity to spectral and thermal noise. The single-photon DPSK data is detected within 1-ns transistor-transistor logic (TTL) gated window at 0.1% duty-cycle of the 1-Mbit/s receiver. Such an asymmetric DPSK encoding and receiving coding data format further stabilize the single-photon DPSK codes with a quantum bit error ratio (QBER) of 0.038% when the interfered free spectral range of 4.8 MHz expands broader than the linewidth of the single-photon carrier of 293 kHz to ensure the interferometric visibility of 99.2% with the operating time beyond 1065 s. Decoding the single-photon DPSK bits with an average photon number of 0.2 #/bit guarantees the BER at 1.5% with a secure key rate of 113.4 kbit/s under the back-to-back transmission, and remains the BER at 3.2% with a secure key rate of 10.1 kbit/s over 40-km-SSMF transmission. The low-bit-rate-gated receiving of high-bit-rate transmitted DPSK coding data format has unveiled a novel stabilization scheme for single-photon secure communications.
An adaptive differential-phase-shifting (DPS) quantum key distribution (QKD) protocol improved by encoding asynchronous-bit-rate with harmonic clock tunability, decoded by shortened delay-line interferometer (DLI) with enhancing stability, and received by single-photon detection with long hold-off is demonstrated to realize low-erroneous transmission. To achieve long-term stabilized visibility with a maintained quantum bit-error-ratio (QBER) and secure key rate, the shortened and polarized DLI enlarges its free-spectral range (FSR) and reduces its power-to-wavelength slope (δP/δλ) to suppress its sensitivity to thermal gradient, channel leakage, and wavelength disturbance. Extremely low power and wavelength drifts of ΔP/P < ±0.02% and Δλ/λ = ±6.45 × 10−8 can be achieved, even when using a single-mode QKD carrier with a relatively broadened 300-kHz linewidth. Flexibly expanding the 1-bit-delay FSR of the polarized DLI from 0.04 to 1.00 GHz improves its immunity to environmental disturbances, enabling the DPS-QKD decoding with 210–213 patterns, 3.2% QBER, and 17.46-kbit/s under 0.22 photon/pulse in average. The asynchronous-bit-rate DPS-QKD protocol enables harmonic expansion of DLI’s FSR at limited single-photon avalanche detector’s bit rate, which lengthens the duration of stable visibility to support long-pattern DPS-QKD.
Under the quantum key distribution with differential phase-shift-keying protocol, the ultimate stability of the system is limited by the residual wavelength drift of the quantum-key carrier and the polarization/refractive-index/physical-length fluctuations induced by environmental thermal disturbance. To permanently overcome such a shortcoming, a 1-bit-delayed interferometric fiberized decoder with ultrastable visibility maintenance and long-term immunity to environmental perturbations is demonstrated by employing all polarization maintaining-fiber to construct an asymmetric-arm Mach-Zehnder interferometer, and surrounding such a delay-line interferometric decoder with thermal-isolated sponge and styrofoam container. Receiving the DPS-QKD bit-stream with a high sifting key rate and low bit-error ratio is approached by maintaining the high interfered visibility and eliminating the wavelength drift with a highly adiabatic package. Such an ultrastable long-term 1-bit delay interferometric decoder is particularly suitable for the persistent DPS-QKD operation towards future commercialization.
Automated and instantaneous stabilizing control of the quantum key decoder is the mandatory procedure, which guarantees real-time and high-speed differential-phase-shift (DPS) quantum key distribution (QKD) at low erroneous rate, and ensures the delay-line interferometric (DLI) decoding of the weak-coherent-pulse quantum bit-stream at a qualified and constant visibility. As the QKD system often suffers from environmental temperature/acoustic/vibrational perturbations, employing in situ software-controlled active-feedback-loop circuits is the alternative solution, which automatically preserves the constant visibility of a DLI decoder by dynamically tuning the wavelength of the weak-coherent-pulse carrier. To compensate for wavelength or phase inaccuracy, this work proposes the active-visibility-control (AVC) of the DLI by in situ monitoring its interferometric visibility and fine controls it with combined proportion-integral-loop and hill-climbing-stepper (PI-loop and HC-stepper) feedback algorithms, thus providing the 40-km-long SMF transmission of the weak-coherent-pulse bit-stream at 192-Mbit/s clock rate and 1-Mbit/s receiving rate. By adopting the PI-loop+HC-stepper combined algorithm to stabilize the long-term visibility of the AVC-DLI, such an AVC-DLI loop effectively overcomes environmental disturbances to confine the overall spectral linewidth and wavelength drift of the DPSQKD carrier within 266 kHz, and enabling the predicted lowest quantum bit-error-ratio (QBER) of 0.4% when decoding the weak-coherent-pulse bit at the first second. With the AVC-DLI, the back-to-back weak-coherent-pulse transmission guarantees a secure key rate of 91.6 kbit/s with a QBER stabilized to 1.8% over 10 min, and the long-reach capability is extended to 40-km transmission with a secure key rate of 2.6 kbit/s and QBER of 3.7% for 25–60 min. The technical improvement of AVC-DLI unveils the dynamic long-distance weak-coherent-pulse DPS-QKD transmission.
Ultra-narrow-linewidth lasers with suppressed high-frequency phase noise are critical for quantum control and precision metrology. While optical phase locking (OPL) is the standard technique for cloning the coherence of such sources, its effectiveness is often limited at high frequencies by feedback latency. We present a robust feedforward architecture that overcomes this limitation by recycling and demodulating the existing master-slave beat signal to drive a single electro-optic modulator for near-instantaneous noise cancellation. This approach eliminates the extraneous sidebands and transmission losses typical of more complex modulators. Through active stabilization of the beat amplitude and demodulation phase, we demonstrate robust suppression exceeding 30 dB from 10 kHz to 10 MHz. This hardware-efficient framework is readily compatible with standard OPL setups, offering a scalable solution for high-fidelity coherent control.