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

arXiv:2108.02636 · Physical Review A

Theoretical framework for photon subtraction with non–mode-selective resources

Mohamed Faouzi Melalkia, F. Brunel, Sébastien Tanzilli, Jean Etesse, Virginia D’Auria

Published Jan 28, 2022• 11 citations
arXivHTMLPDF

Abstract

This paper establishes a versatile theoretical framework that explicitly describes single-photon subtraction from multimode quantum light in the context of non-Gaussian state generation and manipulation. The treatment focuses on easy-to-implement configurations in which no mode-selective operation is available and evaluates features and advantages of schemes where only simple filtering stages are employed on the experiments. Such configuration, by considerably reducing the experimental overheads, makes experiments involving single-photon subtraction easier to be implemented. The obtained theoretical framework allows retrieving, given a multimode input state, optimal conditions required to herald and then to detect non-Gaussian states, providing a practical and powerful toolbox for experiments' design. The application of the proposed approach to the case study of Schr\"odinger cat state preparation starting from a frequency multimode squeezed state illustrates the impact of the derived theoretical tools.

DOI
10.1103/physreva.105.013720

Related papers

A flexible theoretical framework to describe multimode photon-subtraction

Mohamed Faouzi Melalkia, F. Brunel, Sébastien Tanzilli +2 more

This work establishes a versatile theoretical framework that explicitly describes non-Gaussian states that are obtained, in an heralded fashion, by applying a single-photon subtraction to a multimode resource. The treatment focuses on the very common experimental situation in which no mode-selective operation is available. The obtained theoretical framework allows retrieving, given a multimode input state, optimal conditions for heralding as well as for non-Gaussian feature detection, thus providing a powerful toolbox for experiments' design. The application of the proposed approach to the case study of Schr\odinger kitten preparation starting from a frequency multimode squeezed state illustrates the pertinence and impact of the derived theoretical tools.

•Sep 29, 2021•0 citations

A multimode framework to describe photon subtraction operation

Mohamed Faouzi Melalkia, F. Brunel, Sébastien Tanzilli +2 more

Optical non-Gaussian quantum states can be generated in a heralded manner by applying a photon subtraction operation to a Gaussian input state. In our work, we develop a theoretical framework to describe this operation in the case where the input state is spectrally multimode. This framework allows the optimal design of photon subtraction experiments. We give the exact expression of the generated non-Gaussian state in the general case. We apply this framework to the case of Schrodinger kitten state generation using a multimode squeezed vacuum as input state. We show that the quality of the generated state (in terms of fidelity and Wigner function negativity) can be enhanced by adapting the different experimental parameters.

•Oct 10, 2021•0 citations

Optical quantum state engineering with multimode resources: between a drawback to be circumvented and an advantage to be exploited

Mohamed Faouzi Melalkia, Juliette Huynh, F. Brunel +3 more

In this work, we study the generation of non-Gaussian quantum states of light using multimode quantum resources. We first propose a theoretical framework to describe photon subtraction operation - a well known non-Gaussian operation - applied to a multimode Gaussian state. We apply this framework to the case of Schrödinger kitten state generation using a multimode squeezed vacuum as input state. We show that a monomode non-Gaussian state with high purity can be generated by a better choice of the different experimental parameters. Then, we propose a new protocol to generate high amplitude non-Gaussian states using spectral multiplexing of input states and Gaussian operations. We show that this protocol can implement the cat breeding operation with less complexity. We show also that this protocol can be used for the generation of approximated GKP state.

SPIE Quantum Technologies•May 31, 2022•1 citation

Generation of non-Gaussian states of light using deterministic photon subtraction

Abdolreza Pasharavesh, Michal Bajcsy

Abstract We explore a recently demonstrated deterministic photon subtraction scheme, based on single-photon Raman interaction with a Λ-type three-level atom, as a tool for manipulating quantum state of few-photon light pulses. We establish a comprehensive theoretical framework using input–output formalism and quantum regression theorem, enabling calculation of the first order autocorrelation matrices of the output light and identification of the temporal modes present in the generated light via their eigendecomposition. By modeling the entire system as a quantum network consisting multiple virtual cavities and a lambda-type emitter cascaded in two parallel guided modes of opposite propagation directions, we extract the quantum state occupying the modes of interest. For both squeezed vacuum and coherent light input pulses, the Wigner function of the output light after photon subtraction clearly reveals its non-Gaussian character. Furthermore, we propose a measurement-based scheme on the subtracted photon which can lead to conditional generation of quantum states resembling Schrodinger’s kitten state directly from coherent input light with fidelities above 99%. This result is particularly nothworthy, as coherent pulses, unlike the squeezed vacuum inputs commonly used in previous studies, are readily available in most experimental setups.

New Journal of Physics•Nov 1, 2024•13 citations

Photon subtraction from a multimode squeezed vacuum state

Adrien Dufour, Clément Jacquard, Young-Sik Ra +2 more

We present the generation and characterization of a multimode non-gaussian state. We prepare squeezed vacua in multiple time-frequency modes, subtract a single photon, and then characterize the state by using mode-selective homodyne detection.

Quantum Information and Measurement (QIM)•Jan 1, 2017•4 citations

Entanglement and Wigner Function Negativity of Multimode Non-Gaussian States

Mattia Walschaers, Claude Fabre, Valentina Parigi +1 more

Non-Gaussian operations are essential to exploit the quantum advantages in optical continuous variable quantum information protocols. We focus on mode-selective photon addition and subtraction as experimentally promising processes to create multimode non-Gaussian states. Our approach is based on correlation functions, as is common in quantum statistical mechanics and condensed matter physics, mixed with quantum optics tools. We formulate an analytical expression of the Wigner function after the subtraction or addition of a single photon, for arbitrarily many modes. It is used to demonstrate entanglement properties specific to non-Gaussian states and also leads to a practical and elegant condition for Wigner function negativity. Finally, we analyze the potential of photon addition and subtraction for an experimentally generated multimode Gaussian state.

arXiv:1707.02285•Physical Review Letters•Oct 31, 2017•94 citations
This paper establishes a versatile theoretical framework that explicitly describes single-photon subtraction from multimode quantum light in the context of non-Gaussian state generation and manipulation. The treatment focuses on easy-to-implement configurations in which no mode-selective operation is available and evaluates features and advantages of schemes where only simple filtering stages are employed on the experiments. Such configuration, by considerably reducing the experimental overheads, makes experiments involving single-photon subtraction easier to be implemented. The obtained theoretical framework allows retrieving, given a multimode input state, optimal conditions required to herald and then to detect non-Gaussian states, providing a practical and powerful toolbox for experiments' design. The application of the proposed approach to the case study of Schr"odinger cat state preparation starting from a frequency multimode squeezed state illustrates the impact of the derived theoretical tools.
This work establishes a versatile theoretical framework that explicitly describes non-Gaussian states that are obtained, in an heralded fashion, by applying a single-photon subtraction to a multimode resource. The treatment focuses on the very common experimental situation in which no mode-selective operation is available. The obtained theoretical framework allows retrieving, given a multimode input state, optimal conditions for heralding as well as for non-Gaussian feature detection, thus providing a powerful toolbox for experiments' design. The application of the proposed approach to the case study of Schr\odinger kitten preparation starting from a frequency multimode squeezed state illustrates the pertinence and impact of the derived theoretical tools.
Optical non-Gaussian quantum states can be generated in a heralded manner by applying a photon subtraction operation to a Gaussian input state. In our work, we develop a theoretical framework to describe this operation in the case where the input state is spectrally multimode. This framework allows the optimal design of photon subtraction experiments. We give the exact expression of the generated non-Gaussian state in the general case. We apply this framework to the case of Schrodinger kitten state generation using a multimode squeezed vacuum as input state. We show that the quality of the generated state (in terms of fidelity and Wigner function negativity) can be enhanced by adapting the different experimental parameters.
In this work, we study the generation of non-Gaussian quantum states of light using multimode quantum resources. We first propose a theoretical framework to describe photon subtraction operation - a well known non-Gaussian operation - applied to a multimode Gaussian state. We apply this framework to the case of Schrödinger kitten state generation using a multimode squeezed vacuum as input state. We show that a monomode non-Gaussian state with high purity can be generated by a better choice of the different experimental parameters. Then, we propose a new protocol to generate high amplitude non-Gaussian states using spectral multiplexing of input states and Gaussian operations. We show that this protocol can implement the cat breeding operation with less complexity. We show also that this protocol can be used for the generation of approximated GKP state.
Abstract We explore a recently demonstrated deterministic photon subtraction scheme, based on single-photon Raman interaction with a Λ-type three-level atom, as a tool for manipulating quantum state of few-photon light pulses. We establish a comprehensive theoretical framework using input–output formalism and quantum regression theorem, enabling calculation of the first order autocorrelation matrices of the output light and identification of the temporal modes present in the generated light via their eigendecomposition. By modeling the entire system as a quantum network consisting multiple virtual cavities and a lambda-type emitter cascaded in two parallel guided modes of opposite propagation directions, we extract the quantum state occupying the modes of interest. For both squeezed vacuum and coherent light input pulses, the Wigner function of the output light after photon subtraction clearly reveals its non-Gaussian character. Furthermore, we propose a measurement-based scheme on the subtracted photon which can lead to conditional generation of quantum states resembling Schrodinger’s kitten state directly from coherent input light with fidelities above 99%. This result is particularly nothworthy, as coherent pulses, unlike the squeezed vacuum inputs commonly used in previous studies, are readily available in most experimental setups.
Non-Gaussian operations are essential to exploit the quantum advantages in optical continuous variable quantum information protocols. We focus on mode-selective photon addition and subtraction as experimentally promising processes to create multimode non-Gaussian states. Our approach is based on correlation functions, as is common in quantum statistical mechanics and condensed matter physics, mixed with quantum optics tools. We formulate an analytical expression of the Wigner function after the subtraction or addition of a single photon, for arbitrarily many modes. It is used to demonstrate entanglement properties specific to non-Gaussian states and also leads to a practical and elegant condition for Wigner function negativity. Finally, we analyze the potential of photon addition and subtraction for an experimentally generated multimode Gaussian state.