Characterization of Gaussian operations and distillation of Gaussian states
Geza Giedke,J. Ignacio Cirac +1 more
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TLDR
It is shown that Gaussian states cannot be distilled by local Gaussian operations and classical communication, and positive (but not completely positive) Gaussian maps are defined.Abstract:
We characterize the class of all physical operations that transform Gaussian states to Gaussian states. We show that this class coincides with that of all operations that can be performed on Gaussian states using linear optical elements and homodyne measurements. For bipartite systems we characterize the processes that can be implemented by local operations and classical communication, as well as those that can be implemented using positive partial transpose preserving maps. As an application, we show that Gaussian states cannot be distilled by local Gaussian operations and classical communication. We also define and characterize positive (but not completely positive) Gaussian maps.read more
Citations
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Displacement-enhanced entanglement distillation of single-mode-squeezed entangled states
TL;DR: In this paper, it was shown that a similar effect can be expected for the distillation of an asymmetric Gaussian entangled state that is produced by a single squeezed beam, and the authors showed that for low initial entanglement, their largely simplified protocol generates more entangled states than previous proposed protocols.
Journal ArticleDOI
Resource distillation in convex Gaussian resource theories
TL;DR: In this paper, it is shown that resource distillation becomes possible for convex Gaussian resource theories with convex mixtures of Gaussian states and operations, albeit in a limited fashion.
Journal ArticleDOI
Photon-by-photon quantum light state engineering
TL;DR: The ability to manipulate light at the level of single photons, its elementary excitation quanta, has recently made it possible to produce a rich variety of tailor-made quantum states and arbitrary quantum operations, of high interest for fundamental science and applications as mentioned in this paper .
Environmental-induced work extraction
TL;DR: In this article , a measurement can extract work from an entangled system, e.g., two-mode system, when no intellectual creature, like an ancilla/daemon, is present.
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Demonstrating quantum properties of triple photons generated by $$\chi ^3$$ processes
Kamel Bencheikh,Marina F. B. Cenni,Enky Oudot,Véronique Boutou,Corinne Felix,Joel Compte Prades,Augustin Vernay,J. B. Bertrand,Florent Bassignot,Mathieu Chauvet,Félix Bussières,Hugo Zbinden,Ariel Levenson,Benoît Boulanger +13 more
TL;DR: In this paper , a third-order nonlinear optical interaction is used to produce pure quantum three-photon states, which can exhibit three-body quantum correlations, and their statistics cannot be reproduced by any Gaussian statistics of coherent sources or optical parametric twin-poton generator, making them potentially useful for quantum information processing tasks.
References
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Book
Matrix Analysis
Roger A. Horn,Charles R. Johnson +1 more
TL;DR: In this article, the authors present results of both classic and recent matrix analyses using canonical forms as a unifying theme, and demonstrate their importance in a variety of applications, such as linear algebra and matrix theory.
Measuring the Quantum State of Light
TL;DR: In this paper, the authors present a method for simultaneous measurement of position and momentum in a simple optical instrument with respect to the quantum theory of light and quasiprobability distribution.
Book
Measuring the Quantum State of Light
TL;DR: In this paper, the authors present a method for simultaneous measurement of position and momentum in a simple optical instrument with respect to the quantum theory of light and quasiprobability distribution.
Journal ArticleDOI
Generalized Coherent States
TL;DR: In this paper, the generalized coherent states were studied using an operator technique similar to one we have used in a previous paper, and an alternative derivation of the most general coherent state was provided.