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We derive two lower bounds on entanglement of formation for arbitrary mixed Gaussian states by two distinct methods. To achieve the first one we use a local measurement procedure derived by Giedke et al [Quantum Inf. and Comp. vol.1, 79…

Quantum Physics · Physics 2016-09-08 G. Rigolin , C. O. Escobar

We study the preparation of entangled pure Gaussian states via reservoir engineering. In particular, we consider a chain consisting of $(2\aleph+1)$ quantum harmonic oscillators where the central oscillator of the chain is coupled to a…

Quantum Physics · Physics 2017-03-14 Shan Ma , Matthew J. Woolley , Ian R. Petersen , Naoki Yamamoto

We demonstrate that the entanglement in a class of two-mode non-Gaussian states obtained by subtracting photons from Gaussian twin beams can be bounded from above and from below by functionals of the second moments only. Knowledge of the…

Quantum Physics · Physics 2009-02-15 Gerardo Adesso

We give a direct alternative proof of an area law for the entanglement entropy of the ground state of disordered oscillator systems---a result due to Nachtergaele, Sims and Stolz. Instead of studying the logarithmic negativity, we invoke…

Mathematical Physics · Physics 2019-10-11 Vincent Beaud , Julian Sieber , Simone Warzel

In the usual entanglement detection scenario the possible measurements and the corresponding data are assumed to be fully characterized. We consider the situation where the measurements are known, but the data is scrambled, meaning the…

Quantum Physics · Physics 2019-07-01 Timo Simnacher , Nikolai Wyderka , René Schwonnek , Otfried Gühne

Based on total variance of a pair of Einstein-Podolsky-Rosen (EPR) type operators, the generalized EPR entangled states in continuous variable systems are defined. We show that such entangled states must correspond with two-mode squeezing…

Quantum Physics · Physics 2009-11-10 Yun-Jie Xia , Guang-Can Guo

We investigate the robustness of genuine multiparticle entanglement under decoherence. We consider different kinds of entangled three- and four-qubit states as well as random pure states. For amplitude damping noise, we find that the W-type…

Quantum Physics · Physics 2014-03-04 Mazhar Ali , Otfried Gühne

We present an entanglement criterion for two mode squeezed states which relies on particle counting only. The proposed inequality is optimal for the state under consideration and robust against particle losses up to 2/3. As it does not…

Quantum Physics · Physics 2008-09-16 Christine A. Muschik , Eugene S. Polzik , J. Ignacio Cirac

Quantisation with Gaussian type states offers certain advantages over other quantisation schemes, in particular, they can serve to regularise formally discontinuous classical functions leading to well defined quantum operators. In this work…

Quantum Physics · Physics 2022-05-25 Jean-Pierre Gazeau , Véronique Hussin , James Moran , Kevin Zelaya

We study the problem of optimal preparation of a bipartite entangled state, which remains entangled the longest time under action of local qubit noises. We show that for unital noises such a state is always maximally entangled, whereas for…

Quantum Physics · Physics 2018-01-23 Sergey N. Filippov , Vladimir V. Frizen , Daria V. Kolobova

In the tangent space of some spatially extended dissipative systems one can observe "physical" modes which are highly involved in the dynamics and are decoupled from the remaining set of hyperbolically "isolated" degrees of freedom…

Chaotic Dynamics · Physics 2010-03-22 Pavel V. Kuptsov , Ulrich Parlitz

In this work, we prove the generation of genuine tripartite continuous-variable entanglement in the unitary dynamics of the simultaneous measurement process of position and momentum observables raised by Arthurs and Kelly, considering a…

Quantum Physics · Physics 2023-07-25 J. A. Mendoza-Fierro , L. M. Arévalo Aguilar

We show that the transfer of the angular spectrum of the pump beam to the two-photon state in spontaneous parametric down-conversion enables the generation of entangled Hermite-Gaussian modes. We derive an analytical expression for the…

Quantum Physics · Physics 2009-11-10 S. P. Walborn , S. Pádua , C. H. Monken

The bi-partite Gaussian state, corresponding to an anisotropic harmonic oscillator in a noncommutative-space, is investigated with the help of the Simon's separability condition (generalized Peres-Horodecki criterion). It turns out that, in…

Quantum Physics · Physics 2022-12-16 Pinaki Patra

Non-Gaussian entangled states play a crucial role in harnessing quantum advantage in continuous-variable quantum information. However, how to fully characterize N-partite (N > 3) non-Gaussian entanglement without quantum state tomography…

Quantum Physics · Physics 2023-12-05 Da Zhang , David Barral , Yanpeng Zhang , Kamel Bencheikh

A wide variety of dissipative state preparation schemes suffer from a basic time-entanglement tradeoff: the more entangled the steady state, the slower the relaxation to the steady state. Here, we show how a minimal kind of adaptive…

Quantum Physics · Physics 2025-02-10 Andrew Pocklington , Aashish A. Clerk

The time evolution of quantum correlations of entangled two-mode continuous variable states is examined in single-reservoir as well as two-reservoir models, representing noisy correlated or uncorrelated non-Markovian quantum channels. For…

Quantum Physics · Physics 2009-11-13 C. Hoerhammer , H. Buettner

We investigate the continuous-variable entanglement swapping protocol in a non-Gaussian setting, with non- Gaussian states employed either as entangled inputs and/or as swapping resources. The quality of the swapping protocol is assessed in…

Quantum Physics · Physics 2021-10-26 F. Dell'Anno , D. Buono , G. Nocerino , S. De Siena , F. Illuminati

We present a geometric approach to the characterization of separability and entanglement in pure Gaussian states of an arbitrary number of modes. The analysis is performed adapting to continuous variables a formalism based on single…

Quantum Physics · Physics 2007-10-28 Gerardo Adesso , Salvatore M. Giampaolo , Fabrizio Illuminati

A proper choice of subsystems for a system of identical particles e.g., bosons, is provided by second-quantized modes i.e.,creation/annihilation operators. Here we investigate how the entanglement properties of bipartite gaussian states of…

Quantum Physics · Physics 2009-11-11 Emanuele Ciancio , Paolo Giorda , Paolo Zanardi