The squashed entanglement of the noiseless quantum Gaussian attenuator and amplifier

Palma, Giacomo De

doi:10.1063/1.5111489

Cited by 5 publications

(2 citation statements)

References 77 publications

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“…Secondly, we assume that the bath is initially in the vacuum state. Note that while this assumption is a very strong one, it is fulfilled by many wellstudied and useful models, such as quantum-limited amplification, quantum-limited attenuation, and phase conjugation channels, utilized, e.g., in studies of Gaussianity, entropy, and entanglement [37][38][39]. More importantly for us, as we will discuss in the next section, it is also satisfied by the dynamical Casimir effect.…”

Section: Open Systemmentioning

confidence: 93%

Classicality of the Bogoliubov Transformations and the Dynamical Casimir Effect Through the Reduced State of the Field

Linowski

Rudnicki

2023

Acta Phys. Pol. A

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We use the reduced state of the field formalism (Entropy 21, 705 (2019)) to derive conditions under which a Bogoliubov transformation can be considered semi-classical. We apply this result to the dynamical Casimir effect in a moving medium (Phys. Rev. A 78, 042109 ( 2008)), discussing its classical and quantum features. topics: Bogoliubov transformations, dynamical Casimir effect, quantum-to-classical transitions, mesoscopic degrees of freedom

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Section: Open Systemmentioning

confidence: 93%

Classicality of the Bogoliubov Transformations and the Dynamical Casimir Effect Through the Reduced State of the Field

Linowski

Rudnicki

2023

Acta Phys. Pol. A

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“…Although computing SE is NP-complete [33], it has been calculated analytically for some nontrivial classes of states [34,35]; moreover, it enjoys a set of very useful lower bounds in terms of the reduced von Neumann entropies, the relative entropy of entanglement and the relative 2-Rényi entropy [29,[36][37][38].…”

Section: A Definition and Fundamental Propertiesmentioning

confidence: 99%

Topological squashed entanglement: nonlocal order parameter for one-dimensional topological superconductors

Maiellaro,

Marino,

Illuminati

2022

Preprint

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Identifying entanglement-based order parameters characterizing topological systems has remained a major challenge for the physics of quantum matter in the last two decades. Here we show that squashed entanglement between the system edges, defined in terms of the edge-edge quantum conditional mutual information, is the natural order parameter for topological superconductors and for systems with edge modes. In the topological phase, the long-distance edge-edge squashed entanglement is quantized to log(2)/2, half the maximal Bell-state entanglement, and vanishes in the trivial phase. Such topological squashed entanglement exhibits the correct scaling at the quantum phase transition, discriminates between topological order and ordered phases associated to broken symmetries, counts the number of Majorana excitations for systems of increasing geometrical complexity, and is robust against the effects of disorder and local perturbations. In fact, it turns out to be a valid signature of topological order even for systems with weakened bulk-edge correspondence. Squashed entanglement is defined for all quantum states, reducing to the von Neumann entanglement entropy on pure states. As such, it provides a unified framework for the characterization of topological order in any dimension and, moreover, can be generalized to any setting, including finite temperature, multipartite correlations, and nonequilibrium. Squashed entanglement and quantum conditional mutual information are defined in terms of linear combinations of reduced entropies and can thus be probed using currently available experimental setups and techniques.

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Quantum Optimal Transport with Quantum Channels

Palma

Trevisan

2021

Ann. Henri Poincaré

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The squashed entanglement of the noiseless quantum Gaussian attenuator and amplifier

Cited by 5 publications

References 77 publications

Classicality of the Bogoliubov Transformations and the Dynamical Casimir Effect Through the Reduced State of the Field

Classicality of the Bogoliubov Transformations and the Dynamical Casimir Effect Through the Reduced State of the Field

Topological squashed entanglement: nonlocal order parameter for one-dimensional topological superconductors

Quantum Optimal Transport with Quantum Channels

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