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
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Gaussian discriminating strength
TL;DR: In this article, a quantifier of nonclassical correlations for bipartite, multimode Gaussian states is presented, derived from the discriminating strength measure, introduced for finite dimensional systems in Farace et al., [New J. Phys. 16, 073010 (2014)].
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Stroboscopic quantum optomechanics
TL;DR: In this paper, a theory for stroboscopic quantum optomechanics is formulated, where an optomachical cavity is illuminated by a train of short pulses, and the range of parameters for which the quantum regime can be accessed in the system is extended.
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From Log-Determinant Inequalities to Gaussian Entanglement via Recoverability Theory
TL;DR: In this paper, a strong subadditivity (SSA) inequality for positive definite block matrices is introduced, which is a consequence of general entropy inequalities for Gaussian distributed vectors with prescribed covariances.
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Gaussian optimizers and other topics in quantum information
TL;DR: This thesis proves the proof of two fundamental entropic inequalities for quantum Gaussian channels, and proves the Eigenstate Thermalization Hypothesis, an assumption in quantum statistical mechanics stating that the eigenstates of the Hamiltonian of a system+bath compound look as thermal states if the authors can access only the system.
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Channel Simulation in Quantum Metrology
TL;DR: The crucial role of quantum teleportation as a primitive operation which allows one to completely reduce adaptive protocols over suitable teleportation-covariant channels and derive matching upper and lower bounds for parameter estimation is elucidated.
References
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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.
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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.
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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.