Multi-mode beams offer a new way to test quantum operations

Kishore Thapliyal of the University of Oslo and colleagues have demonstrated a method for simulating quantum operations using compound beams, allowing for direct comparison of techniques used to create highly nonclassical states. The work identifies optimal conditions for generating these states by adding or subtracting up to twenty photocounts, a parameter important for applications in quantum communication, metrology and information protocols.

Researchers found photon addition enhances nonclassicality in multi-mode thermal and sub-Poissonian beams, while photon subtraction proves more effective with multi-mode twin beams. Exploiting temporal photon-pair correlations in twin beams, the team achieved nearly ideal photon addition, offering a novel approach to high-fidelity quantum operations.

Multi-Mode Beams for Comparing Quantum Operations

Researchers are now able to directly compare the effectiveness of quantum operations by manipulating beams with intensities differing by two orders of magnitude. This capability stems from the use of compound beams, structures built from fundamental experimental components, allowing for the simulation of quantum operations important for advanced quantum technologies. These beams, composed of elements detected within simultaneous detection windows, create specific quantum correlations that mimic the properties of operations used to generate highly nonclassical and entangled multi-mode states, essential for quantum communication, metrology and information processing.

The work addresses a long-standing challenge in the field: the difficulty of directly comparing quantum operations due to the experimental convenience of different light sources for each operation. By employing compound beams, scientists circumvent this obstacle, using a single versatile source that can be modified to test various quantum operations.

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This approach allows for the analysis of beams across a broad range of parameters, including intensity and noise levels, offering a comprehensive assessment of their suitability for different applications. Temporal multiplexing, a technique using measurements on weak twin beams, plays a major role in preparing these compound beams, simulating statistical properties as if the states existed in real time. The study provides a qualitative and quantitative comparison of multi-photon addition and subtraction applied to three distinct types of optical fields: compound multi-mode twin beams, multi-mode thermal states and sub-Poissonian states.

Optimal conditions for the generation of experimental nonclassical states are identified by adding and subtracting up to twenty photocounts. The team notes that the versatility of compound beams extends beyond optimization of light sources, offering a pathway for direct implementation of various quantum communication, metrology and information protocols. The researchers suggest that the schemes based on temporal compound beams can be adapted to real experimental setups using naturally multi-mode beams detected by spatially-resolved photon-number-resolving detectors. This adaptability broadens the potential impact of the research.

The work, funded in part by the European Union’s Horizon Europe research and innovation programme, emphasises the growing importance of developing versatile tools for manipulating and characterizing quantum states. “Compound beams with their versatile structures have been suggested for direct experimental comparison of different quantum operations used in the generation of highly nonclassical states occurring in various quantum-information protocols,” the paper concludes, highlighting the potential of this approach to advance the field of quantum information science.

Compound Beams Simulate Nonclassical Quantum States

This simulation relies on constructing beams from elementary experimental blocks detected within simultaneous detection windows, creating specific quantum-correlated structures that mimic complex quantum behaviors. Investigations reveal a subtle relationship between beam type and the efficacy of photon addition versus subtraction in enhancing nonclassicality. Exploiting temporal photon-pair correlations within compound twin beams, researchers demonstrated nearly ideal experimental photon addition when employing post-selection techniques. The results are particularly relevant for beams with a mean photon number per mode significantly less than one, a condition that simplifies the analysis and enhances the clarity of observed quantum effects.

The values of a parameter denoted τP, measuring non-Gaussian character, exceed 0.5 for photon-added twin beams with low intensities, further confirming their nonclassical nature. The ability to study beams with intensities differing by orders of magnitude, alongside mimicking post-selection with an ideal photon-number-resolving detector, represents an advancement in the field of quantum state manipulation and characterization.

Photon Addition vs. Subtraction in Thermal and Sub-Poissonian Beams

Researchers systematically added and subtracted photons from thermal, sub-Poissonian and twin beam configurations, probing the effectiveness of each technique across a wide range of intensities. This detailed analysis reveals that the optimal approach, photon addition versus subtraction, depends heavily on the initial beam type, challenging assumptions about universal methods for enhancing nonclassicality.

Conversely, photon subtraction outperformed addition when working with multi-mode twin beams, a counterintuitive result that highlights the detailed interplay between beam properties and quantum operations. This approach, relying on post-selection techniques, allowed for precise control over the addition process, maximizing the generation of desired quantum states.

Analyzing the resulting states through parameters measuring non-Gaussian character, the team confirmed the nonclassical nature of photon-added twin beams at low intensities. Specifically, values exceeding 0.5 for a parameter denoted τP further validate the generation of nonclassical states. The probabilities of generating photon-added and photon-subtracted states were carefully measured, with the team reporting values for different numbers of concatenated detection windows.

These values shift as the number of windows increases, with 9.40% reported for both addition and subtraction with twenty windows. Qualitative and quantitative comparison of multi-photon addition and subtraction in compound multi-mode thermal as well as sub-Poissonian beams and multi-mode twin beams with their intensities extending over two orders in magnitude is provided. Adding and subtracting up to twenty photocounts, optimal conditions for the generation of experimental nonclassical states are identified.

Researchers compared multi-photon addition and subtraction across multi-mode thermal, sub-Poissonian and twin beams, observing intensity variations spanning two orders of magnitude, a significant range for comparative analysis of quantum state manipulation. This divergence highlights that the most effective technique for inducing nonclassicality is beam-type dependent, challenging assumptions about universal approaches to quantum state engineering. The research confirms that these compound beams, when operating with mean photon numbers per mode much less than one, reliably estimate the properties of multi-mode fields.

The team’s work demonstrates a method for directly comparing different quantum operations, offering a valuable tool for assessing their suitability for specific applications. The researchers found that photon addition induces nonclassicality in thermal states, while it enhances it in sub-Poissonian states, a detailed distinction that emphasises the importance of tailoring techniques to specific beam characteristics. These findings are not merely academic. They have practical implications for designing quantum systems optimized for specific tasks.

The study’s detailed analysis of photon addition and subtraction, with up to twenty photocounts manipulated, provides a granular understanding of the processes involved in generating nonclassical states. The team’s ability to mimic ideal post-selection, by exploiting temporal photon-pair correlations in compound twin beams, further enhances the technique’s potential for advancing quantum technologies.

The team’s meticulous approach, involving the analysis of beams with intensities spanning two orders of magnitude, ensures the reliability and generalizability of their results. “As an example, the properties of the states obtained by multiple photon addition and photon subtraction in twin beams, thermal states, and sub-Poissonian states were mutually compared,” the paper states, emphasizing the breadth of their investigation. This comparative analysis is important for identifying the most effective strategies for generating and manipulating nonclassical states, ultimately driving progress in the field of quantum information science.

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Ivy Delaney

Ivy Delaney has been working with neural networks and machine learning since the mid-nineties, back when a couple of hidden layers and a long afternoon of training counted as ambitious. She has watched the field go from academic curiosity to the thing quietly running underneath everything, and she brings that long view to quantum computing. For Quantum Zeitgeist she covers the ground where the two fields meet. That means quantum machine learning and the variational algorithms it leans on, and it also means the less glamorous but more interesting story of classical machine learning already doing real work inside quantum machines, decoding error-correcting codes, calibrating noisy hardware and learning the error models that simulators depend on. She writes about the hardware those algorithms have to run on too, and about the post-quantum cryptography scramble that the same hardware has set off. Her stories typically start with the paper, whether that is peer-reviewed work, conference proceedings or an arXiv preprint, with the source linked so you can hold a claim up against the research it came from. She is unimpressed by benchmarks that will not say what they beat, and by demonstrations that only work in the press release.

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