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Long-distance free-space quantum key distribution with continuous variables

This paper reports the first demonstration of long-distance continuous-variable quantum key distribution over 7-km inland and 9.6-km maritime free-space channels in daylight, overcoming atmospheric noise through advanced state manipulation and tracking technologies to enable future satellite-based and integrated air-ground quantum networks.

Original authors: Tianxiang Zhan, Huasheng Li, Peng Huang, Haoze Chen, Jiaqi Han, Zijing Wu, Hao Fang, Hanwen Yin, Zehao Zhou, Huiting Fu, Feiyu Ji, Piao Tan, Yingming Zhou, Xueqin Jiang, Tao Wang, Jincai Wu, Cheng Ye
Published 2026-07-21
📖 6 min read🧠 Deep dive

Original authors: Tianxiang Zhan, Huasheng Li, Peng Huang, Haoze Chen, Jiaqi Han, Zijing Wu, Hao Fang, Hanwen Yin, Zehao Zhou, Huiting Fu, Feiyu Ji, Piao Tan, Yingming Zhou, Xueqin Jiang, Tao Wang, Jincai Wu, Cheng Ye, Yajun Miao, Wei Qi, Guihua Zeng

Original paper licensed under CC BY 4.0 (http://creativecommons.org/licenses/by/4.0/). This is an AI-generated explanation of the paper below. It is not written or endorsed by the authors. For technical accuracy, refer to the original paper. Read full disclaimer

Imagine the internet as a giant, invisible web of light, carrying our secrets, photos, and messages across the globe. For decades, we've relied on math to keep these secrets safe, but math is like a lock that a clever enough thief might eventually pick. Enter Quantum Key Distribution (QKD), a way of sharing secrets using the weird rules of physics itself. Instead of a lock, it uses the fundamental nature of light particles (photons) to create a key. If anyone tries to spy on the key while it's being made, the laws of physics say the key changes, alerting the users that someone is listening. This makes the security "unconditional"—it doesn't matter how powerful the thief's computer is; they simply can't break it.

There are two main ways to send these quantum keys. One uses single particles of light, like sending a single grain of sand at a time. The other, called Continuous-Variable (CV) QKD, is more like sending a steady stream of water, where the secret is hidden in the height and speed of the waves. The big advantage of this "water stream" method is that it plays nicely with the existing fiber-optic cables that already carry our internet, making it cheaper and easier to upgrade our current networks. However, sending these delicate quantum waves through the open air (free space) has been a nightmare. The atmosphere is like a turbulent ocean; wind, heat, and dust cause the signal to wobble, fade, and get noisy, especially during the bright, chaotic daytime. Until now, scientists could only prove this worked over very short distances or in the calm of the night.


The Paper's Big Leap: Beaming Secrets Through the Daytime Sky

This paper reports a major step forward: the team successfully demonstrated long-distance, free-space quantum key distribution during the daytime, a feat that was previously thought to be nearly impossible over such distances. They managed to send secure quantum keys through the air over two very different landscapes: a 7-kilometer stretch over the city of Shanghai and a 9.6-kilometer stretch over the sea near Dalian.

To understand why this is a big deal, imagine trying to whisper a secret to a friend across a crowded, windy stadium. If you try to do it during the day, the noise of the crowd and the glare of the sun make it impossible to hear. Previous experiments were like whispering in a quiet library or only at night when the stadium was empty. This team, however, built a system that could hear the whisper clearly even while the stadium was roaring and the sun was blazing.

How They Tamed the Chaos

The atmosphere is a fickle friend. As the quantum signal travels, the air's turbulence causes the signal's strength to fluctuate wildly, like a flashlight beam flickering through a storm. This flickering creates "excess noise," which is the enemy of secure keys. If the noise gets too high, the secret key becomes useless.

The researchers developed a clever three-part strategy to solve this, acting like a high-tech team of navigators:

  1. The Unshakeable Compass: They created a way to control the quantum states (the "waves" of light) so precisely that they could correct for the signal's wobbling polarization and phase, regardless of how much the signal faded. It's like having a GPS that doesn't just tell you where you are, but actively steers your car to stay on the road even if the road is shaking violently.
  2. The Smart Sorter: Instead of trying to treat the whole journey as one smooth trip, they broke the data into small groups based on how strong the signal was at that exact moment. They realized that if they looked at the data in small, manageable chunks where the signal strength was relatively stable, the "noise" caused by the atmosphere's flickering became negligible. It's like sorting a pile of mixed-up puzzle pieces by color before trying to assemble them; it makes the picture much clearer.
  3. The Laser Eye: They used a high-efficiency "Acquisition, Tracking, and Pointing" (ATP) system. This is a super-precise laser pointer that constantly adjusts the telescope to keep the beam locked onto the receiver, even if the wind tries to blow the telescope off target. This ensured the signal stayed strong enough to be detected.

The Results: Day and Night Success

The team tested their system over 7 km inland and 9.6 km over the sea. The results were impressive. They successfully generated secure keys during both the day and the night, proving that the system is robust enough to handle the harsh conditions of daylight.

  • Over the 7-km inland route: They achieved secret key rates ranging from 0.0560 to 2.3545 bits per second (bps). Interestingly, they found that at night, the signal was generally stronger (less loss), but they still managed to generate keys during the day.
  • Over the 9.6-km maritime route: The sea presented a different challenge. Due to local weather patterns, the air was actually more stable during the day than at night (likely because the sea fog formed after sunset). Consequently, most of their successful daytime tests happened here, with key rates reaching up to 740.6015 bps in their best groups.

The paper explicitly notes that these results are based on an "asymptotic regime," meaning they are looking at the performance as if they had an infinite amount of data to process. They acknowledge that moving to real-world, finite-length scenarios (where you have a limited time to send a key) is a future challenge, but the foundation is solid.

Why This Matters

This experiment is significant because the distance they covered (up to 9.6 km) is roughly the thickness of the Earth's atmosphere that a satellite would have to pass through to talk to the ground. By proving they can send these keys through the atmosphere over such distances during the day without needing to convert the light to a different color or use heavy filters, they have paved the way for satellite-based quantum communication.

Imagine a future where your phone connects to a satellite in the sky to get an unbreakable encryption key, allowing you to send messages that no one, not even a supercomputer, could ever crack. This paper shows that we are one step closer to making that a reality, using technology that can eventually be integrated into the very networks we use every day. It's not just a lab experiment anymore; it's a proof that the sky is no longer the limit for quantum secrets.

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