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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Dissertation
Quantum metrology with optomechanical systems in the nonlinear regime
TL;DR: In this paper, the authors derived a general expression of the quantum Fisher information given the extended optomechanical Hamiltonian, and demonstrate its applicability through three concrete examples: estimation of a nonlinear light-matter coupling, the strength of a time-modulated mechanical displacement, and the sensitivity of a single-mode mechanical squeezing parameter, all of which are modulated at resonance.
Journal ArticleDOI
Measurement-induced nonclassical state from two-mode squeezed vacuum states via beam splitter and its entanglement properties
Journal ArticleDOI
All phase-space linear bosonic channels are approximately Gaussian dilatable
TL;DR: It turns out that all linear bosonic channels can be approximated by a Gaussian dilation using an ancilla with the same number of modes as the system, and an alternative dilation where the unitary is fixed in the approximating procedure is provided.
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Generation and Detection of Continuous Variable Quantum Vortex States via Compact Photonic Devices
TL;DR: In this article, a quantum photonic circuit with the ability to produce continuous variable quantum vortex states is proposed, which produces two singlemode squeezed states which go through a Mach-Zehnder interferometer where photons are subtracted by means of weakly coupled directional couplers towards ancillary waveguides.
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.