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arXiv:2301.03909

Metrological detection of entanglement generated by non-Gaussian operations

David Barral, Mathieu Isoard, Giacomo Sorelli, Manuel Gessner, Nicolas Treps, Mattia Walschaers

Published Jan 10, 2023• 1 citation
arXivHTMLPDF

Abstract

Entanglement and non-Gaussianity are physical resources that are essential for a large number of quantum-optics protocols. Non-Gaussian entanglement is indispensable for quantum-computing advantage and outperforms its Gaussian counterparts in a number of quantum-information protocols. The characterization of non-Gaussian entanglement is a critical matter as it is in general highly demanding in terms of resources. We propose a simple protocol based on the Fisher information for witnessing entanglement in an important class of non-Gaussian entangled states: photon-subtracted states. We demonstrate that our protocol is relevant for the detection of non-Gaussian entanglement generated by multiple photon-subtraction and that it is experimentally feasible through homodyne detection.

DOI
10.48550/arxiv.2301.03909

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Abstract Entanglement and non-Gaussianity are physical resources that are essential for a large number of quantum-optics protocols. Non-Gaussian entanglement is indispensable for quantum-computing advantage and outperforms its Gaussian counterparts in a number of quantum-information protocols. The characterization of non-Gaussian entanglement is a critical matter as it is in general highly demanding in terms of resources. We propose a simple protocol based on the Fisher information for witnessing entanglement in an important class of non-Gaussian entangled states: photon-subtracted states. We demonstrate that our protocol is relevant for the detection of non-Gaussian entanglement generated by multiple photon-subtraction and that it is experimentally feasible through homodyne detection.
Entanglement and non-Gaussianity are physical resources essential for a large number of quantum-optics protocols. Non-Gaussian entanglement is indispensable for quantum-computing advantage and outperforms its Gaussian counterparts in a number of quantum-information protocols. The characterization of non-Gaussian entanglement is a critical matter as it is in general highly demanding in terms of resources. We propose a simple protocol based on the Fisher information for witnessing entanglement in an important class of non-Gaussian entangled states: photon-subtracted states. We demonstrate that our protocol is relevant for the detection of purely-non-Gaussian entanglement and that it is experimentally feasible through homodyne detection.
Quantum correlations are at the core of current developments in quantum technologies.Certification protocols of entanglement and steering, suitable for continuous-variable non-Gaussian states are scarce and generally highly demanding from an experimental point of view.We propose a protocol based on Fisher information for witnessing steering in general continuous-variable bipartite states, through homodyne detection.It proves to be relevant for the detection of non-Gaussian steering in scenarios where witnesses based on Gaussian features like the covariance matrix are shown to fail.
Quantum correlations are at the core of quantum information processing and are necessary to achieve a quantum computational advantage. In the context of continuous-variable quantum systems, another necessary resource for quantum advantages is non-Gaussianity. In this work, we propose a witness based on previously known relations between metrological power and quantum correlations, to detect a strong form of entanglement that only non-Gaussian states possess and that cannot be undone by passive optical operations, i.e., entanglement in all mode bases. The strength of our witness is two-fold: it only requires measurements in one basis to check entanglement in any arbitrary mode basis; it can be made applicable experimentally using homodyne measurements and without requiring a full tomography of the state.
Optical Gaussian entangled states can be generated deterministically, up to very large number of modes. Furthermore, for nontrivial quantum computation, non-Gaussianity is required, which can be obtained from photon subtraction. We will explore here the controlled generation of multimode graph states from ultrafast optical pulses (optical frequency combs) and parametric down conversion in a synchronously pumped cavity, investigating in particular spectral shaping of the pump. Mode dependent photon subtraction is then implemented through sum-frequency generation, and characterization is performed through frequency resolved homodyne detection. We study the influence of a non Gaussian ingredient on a Gaussian graph state.
Certifying reliable sources for quantum information processing is still one of the major challenges towards practical applications. Continuous variable quantum information provides a very promising platform where important resources such as scalable entanglement come “for free” [1]. In that context, a crucial quantum feature to look for and investigate is the so-called non-Gaussianity, which, beyond its conceptual relevance, is a necessary resource for any quantum computational advantage as well as for effective error correction, entanglement distillation and more. Non-Gaussian states have been produced and probed using full tomography techniques [2]. However, performing a full tomography of multimode continuous variable systems is a hard problem. Indeed, systems aimed at overcoming classical approach are by definition too complex to be fully characterized, thus alter-native approaches are required. In this work, we report on the use of double homodyne detection (see on Fig. 1(a)) on optical frequency comb pulses for the certification of non-Gaussian features of quantum states.