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Quantum Advantage in Sensing and Imaging through Coherent Nuisance Suppression

This paper proposes a relational Fourier sampling algorithm for a programmable quantum camera that achieves an exponential reduction in sample complexity for sensing and imaging by using joint quantum processing to coherently suppress unknown nuisance parameters like atmospheric turbulence and background noise.

Original author: Maxim Sirotin, Aleksandr Mokeev, Ishaan Kannan, Julian C. Christou, Jayadev Rajagopal, Babak Saif, Mikhail D. Lukin, Johannes Borregaard

Published 2026-11-05
📖 6 min read🧠 Deep dive

Original author: Maxim Sirotin, Aleksandr Mokeev, Ishaan Kannan, Julian C. Christou, Jayadev Rajagopal, Babak Saif, Mikhail D. Lukin, Johannes Borregaard

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 author. For technical accuracy, refer to the original paper. Read full disclaimer

In the world of astronomy and microscopy, the goal is always to see the faintest details of the universe, from distant stars to tiny cells. To do this, scientists rely on light, capturing photons that travel from a source to a detector. However, the path these photons take is rarely smooth. As light travels through the atmosphere or complex optical systems, it encounters turbulence, shifting air currents, and imperfections that distort the image. These distortions act as a veil, blurring the picture and hiding the true shape of the object being observed. Traditionally, scientists have tried to fix this by measuring the distortion itself and then subtracting it from the data, a process that requires a vast amount of light and time to be accurate. When the object is very faint, this method often fails because there simply are not enough photons to both measure the noise and see the object.

A team of researchers has proposed a fundamentally different way to handle this problem, one that treats the noise not as a problem to be solved separately, but as a shared condition that can be canceled out directly. Instead of measuring each photon individually and trying to reconstruct the image afterward, their new approach captures multiple photons and processes them together while they are still in a fragile quantum state. By keeping these photons linked and comparing them to one another before they are measured, the system can identify the parts of the signal that are common to all of them—the noise—and remove it, leaving behind only the unique information about the object. This technique, which they call coherent nuisance suppression, allows a camera to see through the blur with far fewer photons than ever before, potentially revolutionizing how we observe the cosmos and the microscopic world.

The researchers, working from institutions including Harvard University and NASA, introduced a concept they call a "quantum camera." In a standard camera, light hits a sensor, and the moment a photon arrives, it is converted into a digital number. This process destroys the delicate quantum connections between photons. In the quantum camera, the light is first captured and stored in a special array of quantum bits, or qubits, which act as a memory. This allows the camera to hold onto the state of several photons at once. Once the photons are stored, a quantum computer processes them together. The key insight is that while the atmosphere distorts every photon, it distorts nearby photons in a very similar way. By looking at the relationship between two photons rather than each one in isolation, the system can mathematically cancel out the shared distortion. The result is a clear signal that reveals the position and movement of the object, even if the individual images of those photons would have been completely unrecognizable.

To test this idea, the team developed a specific algorithm called relational Fourier sampling. This method does not need to know in advance what the object looks like, how bright it is, or how many objects are in the scene. It simply extracts the essential relationships between the light waves to reconstruct the image. The researchers ran detailed simulations to see how this would work under real-world conditions, specifically for ground-based telescopes looking at the night sky. They modeled the atmosphere as a shifting, turbulent layer that distorts light, similar to how heat rising from a road makes the air shimmer. In these simulations, they compared their quantum camera against the best possible classical methods, which include advanced techniques that try to predict and correct for the atmospheric distortion using past measurements.

The results were striking. For the task of distinguishing two faint stars that are very close together, the quantum camera required more than a thousand times fewer photons to achieve the same level of clarity as the classical methods. In a specific scenario involving an eight-meter telescope, the quantum system could resolve the separation between two stars using only about 15 quantum processing units and a very short circuit of operations. In contrast, a classical system would need to collect a massive number of photons to overcome the atmospheric blur, often requiring observation times that are impractical for faint objects. The advantage was even more dramatic for tracking moving objects, such as asteroids. The quantum camera could predict the future path of a fast-moving asteroid with much higher precision, using a fraction of the light that a traditional telescope would need. This means that with the same amount of observing time, a quantum camera could see objects that are significantly fainter or move much faster than what is currently possible.

The paper emphasizes that this advantage is not just a theoretical possibility but a proven mathematical separation. The researchers showed that for a wide range of realistic conditions, the quantum approach is exponentially more efficient than any classical strategy that measures photons one by one or in small, separate groups. They demonstrated that this efficiency holds even when the classical system has perfect knowledge of the atmospheric conditions and uses the most sophisticated prediction algorithms available. The quantum method works because it accesses information that is physically impossible to retrieve once the photons have been measured separately. By keeping the photons in a quantum state and processing them jointly, the camera preserves the subtle correlations that carry the true image, while the noise cancels itself out.

While the paper describes a working algorithm and strong simulation results, it also acknowledges the practical challenges of building such a device. The technology requires the ability to capture individual photons and transfer their state into a quantum memory with high fidelity, a feat that is currently being developed in laboratories. The researchers note that the hardware needed is relatively modest compared to the massive quantum computers often discussed for other tasks; their proposed camera would need only a few dozen qubits and simple circuits. They also point out that the method is robust against the small errors that current hardware might introduce. The work suggests that the path to practical quantum advantage in sensing does not require waiting for perfect, error-free machines, but rather for the integration of quantum memory and processing into existing optical systems.

This research opens a new door for astronomy, where the ability to see faint, fast-moving, or closely spaced objects is limited by the noise of the atmosphere. By using the quantum nature of light to suppress this noise directly, the quantum camera could allow ground-based telescopes to perform tasks that currently require space-based observatories or prohibitively long observation times. The same principles could apply to other fields where signals are buried in noise, from medical imaging to tracking satellites. The study concludes that by shifting the focus from measuring the noise to canceling it through joint quantum processing, we can unlock a new level of sensitivity in how we observe the world, turning the limitations of our environment into a solvable puzzle.

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