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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Finite-resource teleportation stretching for continuous-variable systems.
TL;DR: In this article, the secret-key capacity of phase-insensitive Gaussian channels was derived for point-to-point and repeater-assisted private communications with finite energy.
Journal ArticleDOI
Extendibility of Bosonic Gaussian States.
TL;DR: A simple semidefinite program is derived, whose size scales linearly with the number of local modes, to efficiently decide k-extendibility of any given bosonic Gaussian state.
Journal ArticleDOI
Faithful measure of quantum non-Gaussianity via quantum relative entropy
Jiyong Park,Jaehak Lee,Jaehak Lee,Kyunghyun Baek,Kyunghyun Baek,Se-Wan Ji,Hyunchul Nha,Hyunchul Nha +7 more
TL;DR: This work introduces a measure of quantum non-Gaussianity (QNG) for those states not accessible by a mixture of Gaussian states in terms of quantum relative entropy and demonstrates that QNG coincides with non- Gaussianity of the state itself when the single-photon fraction is sufficiently large.
Journal ArticleDOI
Time-evolution of nonlinear optomechanical systems: Interplay of mechanical squeezing and non-Gaussianity
Sofia Qvarfort,Alessio Serafini,André Xuereb,Daniel Braun,Dennis Rätzel,David Edward Bruschi,David Edward Bruschi,David Edward Bruschi +7 more
TL;DR: In this article, a nonlinear optomechanical Hamiltonian with arbitrary time-dependent mechanical displacement, single-mode squeezing, and a timedependent coupling up to the solution of two second-order differential equations is solved by identifying a minimal and finite Lie algebra.
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Efficient tomography of quantum-optical Gaussian processes probed with a few coherent states
Xiang-Bin Wang,Xiang-Bin Wang,Zong-Wen Yu,Jiazhong Hu,Adam Miranowicz,Adam Miranowicz,Franco Nori,Franco Nori +7 more
TL;DR: Lobino et al. as mentioned in this paper showed with explicit formulas that one can completely identify a quantum-optical Gaussian process just with a few different coherent states without approximations like the energy cutoff.
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.