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We consider the uncertainty bound on the sum of variances of two incompatible observables in order to derive a corresponding steering inequality. Our steering criterion when applied to discrete variables yields the optimum steering range…

Quantum Physics · Physics 2017-11-21 Ananda G. Maity , Shounak Datta , A. S. Majumdar

In view of the increasing importance of non-Gaussian entangled states in quantum information protocols like teleportation and violations of Bell inequalities, the steering of continuous variable non-Gaussian entangled states is…

Quantum Physics · Physics 2014-08-01 Priyanka Chowdhury , Tanumoy Pramanik , A. S. Majumdar , G. S. Agarwal

Steering is one of the three in-equivalent forms of nonlocal correlations intermediate between Bell nonlocality and entanglement. Schrodinger-Robertson uncertainty relation (SRUR), has been widely used to detect entanglement and steering.…

Quantum Physics · Physics 2023-11-21 Laxmi Prasad Naik , Rakesh Mohan Das , Prasanta K. Panigrahi

Non-Gaussian quantum states are a known necessary resource for reaching a quantum advantage and for violating Bell inequalities in continuous variable systems. As one kind of manifestation of quantum correlations, Einstein-Podolsky-Rosen…

Quantum Physics · Physics 2023-12-15 Mingsheng Tian , Zihang Zou , Da Zhang , David Barral , Kamel Bencheikh , Qiongyi He , Feng-Xiao Sun , Yu Xiang

Quantum steering---a strong correlation to be verified even when one party or its measuring device is fully untrusted---not only provides a profound insight into quantum physics but also offers a crucial basis for practical applications.…

Quantum Physics · Physics 2016-07-18 Se-Wan Ji , Jaehak Lee , Jiyong Park , Hyunchul Nha

Einstein-Podolsky-Rosen steering incarnates a useful nonclassical correlation which sits between entanglement and Bell nonlocality. While a number of qualitative steering criteria exist, very little has been achieved for what concerns…

Quantum Physics · Physics 2015-02-13 Ioannis Kogias , Antony R. Lee , Sammy Ragy , Gerardo Adesso

Einstein-Podolsky-Rosen steering is a manifestation of quantum correlations exhibited by quantum systems, that allows for entanglement certification when one of the subsystems is not characterized. Detecting steerability of quantum states…

Quantum Physics · Physics 2015-11-23 Ioannis Kogias , Paul Skrzypczyk , Daniel Cavalcanti , Antonio Acin , Gerardo Adesso

We define and fully characterize the witnesses based on second moments detecting steering in Gaussian states by means of Gaussian measurements. All such tests, which arise from linear combination of variances or second moments of canonical…

Quantum Physics · Physics 2023-04-25 Tatiana Mihaescu , Hermann Kampermann , Aurelian Isar , Dagmar Bruß

We suggest an improved version of Robertson-Schr\"odinger uncertainty relation for canonically conjugate variables by taking into account a pair of characteristics of states: non-Gaussianity and mixedness quantified by using fidelity and…

Quantum Physics · Physics 2018-11-27 Kyunghyun Baek , Hyunchul Nha

Two Kerr-squeezed optical beams can be combined in a beamsplitter to produce non-Gaussian continuous-variable entangled states. We characterize the non-Gaussian nature of the output by calculating the third-order cumulant of quadrature…

Quantum Physics · Physics 2015-06-12 M. K. Olsen , J. F. Corney

By employing Pauli measurements, we present some nonlinear steering criteria applicable for arbitrary two-qubit quantum systems and optimized ones for symmetric quantum states. These criteria provide sufficient conditions to witness…

Quantum Physics · Physics 2020-10-02 Guo-Zhu Pan , Ming Yang , Hao Yuan , Gang Zhang , Jun-Long Zhao

Quantum steering describes the phenomenon that one system can be immediately influenced by another with local measurements. It can be detected by the violation of a powerful and useful steering criterion from general entropic uncertainty…

Quantum Physics · Physics 2020-02-26 Huan Yang , Zhi-Yong Ding , Dong Wang , Hao Yuan , Xue-Ke Song , Jie Yang , Chang-Jin Zhang , Liu Ye

We derive steerability criteria applicable for both finite and infinite dimensional quantum systems using covariance matrices of local observables. We show that these criteria are useful to detect a wide range of entangled states…

Quantum Physics · Physics 2016-01-06 Se-Wan Ji , Jaehak Lee , Jiyong Park , Hyunchul Nha

We formulate an inseparability criterion based on the recently derived generalized Schr\"odinger-Robertson uncertainty relation (SRUR) [Ivan {\it et al.} J. Phys. A :Math. Theor. {\bf 45}, 195305 (2012)] together with the negativity of…

Quantum Physics · Physics 2014-03-11 Chang-Woo Lee , Junghee Ryu , Jeongho Bang , Hyunchul Nha

In the last few years, several criteria to identify Eistein-Podolski-Rosen steering have been proposed and experimentally implemented. On the operational side, however, the evaluation of the steerability degree of a given state has shown to…

Quantum Physics · Physics 2016-03-09 A. C. S. Costa , R. M. Angelo

Einstein-Podolsky-Rosen steering refers to the quantum phenomenon whereby the state of a system held by one party can be "steered" into different states at the will of another, distant, party by performing different local measurements.…

Quantum Physics · Physics 2019-06-12 Travis J. Baker , Sabine Wollmann , Geoff J. Pryde , Howard M. Wiseman

We have explored quantum Einstein-Podolsky-Rosen steering in symmetric two-mode Gaussian states using Gaussian and non-Gaussian measurements. For Gaussian measurements, we show that steering between the output modes of a symmetric…

Quantum Physics · Physics 2022-10-06 Eugenia Benech , Adriana Auyuanet , Arturo Lezama

The effect of steering describes a possible action at a distance via measurements but characterizing the quantum states that can be used for this task remains difficult. We provide a method to derive sufficient criteria for steering from…

Quantum Physics · Physics 2018-12-05 Ana C. S. Costa , Roope Uola , Otfried Gühne

We show that optomechanical systems in the quantum regime can be used to demonstrate EPR-type quantum entanglement between the optical field and the mechanical oscillator, via quantum-state steering. Namely, the conditional quantum state of…

Quantum Physics · Physics 2012-11-20 Helge Mueller-Ebhardt , Haixing Miao , Stefan Danilishin , Yanbei Chen

Quantum steering, also called Einstein-Podolsky-Rosen steering, is the intriguing phenomenon associated with the ability of spatially separated observers to steer---by means of local measurements---the set of conditional quantum states…

Quantum Physics · Physics 2017-01-03 Chung-Yun Hsieh , Yeong-Cherng Liang , Ray-Kuang Lee
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