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Bulletin of the American Physical Society

A Single-Photon Subtractor for Multimode Quantum States

Young-Sik Ra, Clément Jacquard, Valentin Averchenko, Jonathan Roslund, Yin Cai, Adrien Dufour, Claude Fabre, Nicolas Treps

Published May 26, 2016• 0 citations
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Summary form only given. Single-photon subtracting operation plays important roles in photonic quantum information processing. For example, it enables distillation of entanglement, noiseless amplification of a quantum state, and enhancement of measurement precision. In particular, the non-Gaussian characteristic of the operation is essential for genuine speed-up and universality of continuous-variable quantum computing. Until now, implementation of single-photon subtraction has been limited on a single-mode or a two-mode quantum state, but recently, extension to multiple modes attracts attention [1, 2] in accordance with the availability of multimode quantum states [3].In this work, we implement a mode-tunable coherent single-photon subtractor which can be tuned to subtract a single photon exclusively from one time-frequency mode or coherently from multiple time-frequency modes. To characterize the single-photon subtractor, we introduce a matrix representation (called a subtraction matrix) of a general single-photon subtractor and measure the matrix by employing coherent-state quantum process tomography [5]. We found that characterizing a single-photon subtractor can be significantly simplified compared with the original coherent-state quantum process tomography because the success probability of a single-photon subtractor alone provides complete information of the device.

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During this thesis, we have built and characterized a single-photon subtractor to engineer the quantum states of light. The aim is to perform a pure and spectrally selective photon subtraction on a multimode resource in the spectral domain. This subtractor consists in a parametric sum-frequency interaction between a signal beam and a control beam within a non-linear medium. The optical spectrum of the control beam is shaped using ultrafast pulse shaping. The up-converted photon is filtered and detected by a single-photon detector. The subtractor is therefore the combination of all these successive elements. We have developed a theoretical framework to describe the multimode subtraction of a single photon and showed that it can be summed up by a subtraction matrix in a modal basis independently of the physical implementation. Thanks to this formalism, we have shown that the process can be characterized without measuring the transformed signal beam but simply by using a probe beam whose pulses are also shaped. We carried out a process tomography at the single-photon level for a wide range of different control beams. Our results are correctly described by the theory we developed and demonstrates the purity of the process as well as the agility of the technique we used.

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Bulletin of the American Physical Society•Mar 2, 2020•0 citations
Summary form only given. Single-photon subtracting operation plays important roles in photonic quantum information processing. For example, it enables distillation of entanglement, noiseless amplification of a quantum state, and enhancement of measurement precision. In particular, the non-Gaussian characteristic of the operation is essential for genuine speed-up and universality of continuous-variable quantum computing. Until now, implementation of single-photon subtraction has been limited on a single-mode or a two-mode quantum state, but recently, extension to multiple modes attracts attention [1, 2] in accordance with the availability of multimode quantum states [3].In this work, we implement a mode-tunable coherent single-photon subtractor which can be tuned to subtract a single photon exclusively from one time-frequency mode or coherently from multiple time-frequency modes. To characterize the single-photon subtractor, we introduce a matrix representation (called a subtraction matrix) of a general single-photon subtractor and measure the matrix by employing coherent-state quantum process tomography [5]. We found that characterizing a single-photon subtractor can be significantly simplified compared with the original coherent-state quantum process tomography because the success probability of a single-photon subtractor alone provides complete information of the device.
During this thesis, we have built and characterized a single-photon subtractor to engineer the quantum states of light. The aim is to perform a pure and spectrally selective photon subtraction on a multimode resource in the spectral domain. This subtractor consists in a parametric sum-frequency interaction between a signal beam and a control beam within a non-linear medium. The optical spectrum of the control beam is shaped using ultrafast pulse shaping. The up-converted photon is filtered and detected by a single-photon detector. The subtractor is therefore the combination of all these successive elements. We have developed a theoretical framework to describe the multimode subtraction of a single photon and showed that it can be summed up by a subtraction matrix in a modal basis independently of the physical implementation. Thanks to this formalism, we have shown that the process can be characterized without measuring the transformed signal beam but simply by using a probe beam whose pulses are also shaped. We carried out a process tomography at the single-photon level for a wide range of different control beams. Our results are correctly described by the theory we developed and demonstrates the purity of the process as well as the agility of the technique we used.