Optimal measurements for tests of Einstein-Podolsky-Rosen steering with no detection loophole using two-qubit Werner states

Evans, D. A.; Wiseman, Howard Mark

doi:10.1103/physreva.90.012114

Cited by 50 publications

(44 citation statements)

References 27 publications

(63 reference statements)

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“…The steering strengths in two directions may not be the same [22], especially, a special type is known as one-way EPR steering where the entangled states show steering in one direction but not in the other [7,23]. The asymmetric EPR steering has attracted considerable attention recently for both theory [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40] and experiment [14,23,[41][42][43][44][45][46]. One important method used in above studies to produce directional steering is making the states asymmetric by adding different amount of losses or noises on the subsystems.…”

Section: Introductionmentioning

confidence: 99%

Manipulation and enhancement of asymmetric steering via interference effects induced by closed-loop coupling

et al. 2019

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We present a phase control method for a general three-mode system with closed-loop in coupling that drives the system into an entangled steady state and produces directional steering between two completely symmetric modes via quantum interference effects. In the scheme, two modes are coupled with each other both by a direct binary interaction and by an indirect interaction through a third intermediate damping mode, creating interference effects determined by the relative phase between the two physical interaction paths. By calculating the populations and correlations of the two modes, we show that depending on the phase, two modes can be prepared into an entangled steady state with asymmetric and directional steering even if they possess completely symmetric decoherence properties. Meanwhile, entanglement and steering can be significantly enhanced due to constructive interference, and thus more robust to thermal noises. This provides an active method to manipulate the asymmetry of steering instead of adding asymmetric losses or noises on subsystems at the cost of reducing steerability. Moreover, we show that the interference effects can also enhance and control the correlations between other pair of modes in the loop with opposite phase dependent behavior, indicating monogamy constraints for distributing correlations among multipartite. The present model could be applied in cavity optomechanical systems or in antiferromagnets where all components can mutually interact.

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Section: Introductionmentioning

confidence: 99%

Manipulation and enhancement of asymmetric steering via interference effects induced by closed-loop coupling

et al. 2019

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“…(7), blue curves are the convex hull of states obtained by applying extremal maps on Alice's part of a T-state satisfying Eq. (6). States to the top-right of these curves are non-steerable.…”

Section: Discussionmentioning

confidence: 99%

“…Since the correlations-in other words, the non-zero values of T -are reduced in magnitude when Alice "creates" a non-zero a through the map Φ E u,v , this surface will lie inside that defined by Eq. (6). We write a vector in this space in the form…”

Section: B Displaced T -Statesmentioning

confidence: 99%

“…As such, a characterization of the set of states which are able to demonstrate steering could be of great use for future quantum technologies. * travis.baker@griffithuni.edu.au Moreover, the question of proving non-steerability with respect to a given set of measurements is important in studying the phenomena of one-way steering [5][6][7][8][9][10], hidden steering [11], and joint measurability [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

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Necessary conditions for steerability of two qubits from consideration of local operations

Baker

Wiseman

2020

Phys. Rev. A

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EPR-steering refers to the ability of one observer to convince a distant observer that they share entanglement by making local measurements. Determining which states allow a demonstration of EPR-steering remains an open problem in general. Here, we outline and demonstrate a method of analytically constructing new classes of two-qubit states which are non-steerable by arbitrary projective measurements, from consideration of local operations performed by the steering party on states known to be non-steerable. arXiv:1906.04693v2 [quant-ph]

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“…The EPR steering can be detected by the violation of various steering inequalities, including linear steering inequalities [14,15], inequalities based on entropic uncertainty relations [16][17][18][19], and steering criterion from geometric Bell-like inequality [20]. On the theory side, based on the choices of measurements, the EPR steering have been explored from projective measurements [13,21] to positive operator-valued measures (POVMs) [22][23][24], and also from continuous variable systems [25,26] to discrete systems [13,21,23] .…”

mentioning

confidence: 99%

Experimental observation of Einstein-Podolsky-Rosen steering via entanglement detection

et al. 2020

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The Einstein-Podolsky-Rosen (EPR) steering is an intermediate quantum nonlocality between entanglement and Bell nonlocality, which plays an important role in quantum information processing tasks. In the past few years, the investigations concerning EPR steering have been demonstrated in a series of experiments. However, these studies rely on the relevant steering inequalities and the choices of measurement settings. Here, we experimentally verify the EPR steering via entanglement detection without using any steering inequality and measurement setting. By constructing two new states from a two-qubit target state, we observe the EPR steering by detecting the entanglement of these new states. The results show that the entanglement of the newly constructed states can be regarded as a new kind of steering witness for target states. Compared to the results of Xiao et al. [Phys. Rev. Lett. 118, 140404 (2017)], we find that the ability of detecting EPR steering in our scenario is stronger than two-setting projective measurements, which can observe more steerable states. Hence, our demonstrations can deepen the understanding of the connection between the EPR steering and entanglement. arXiv:1912.05755v2 [quant-ph]

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Optimal measurements for tests of Einstein-Podolsky-Rosen steering with no detection loophole using two-qubit Werner states

Cited by 50 publications

References 27 publications

Manipulation and enhancement of asymmetric steering via interference effects induced by closed-loop coupling

Manipulation and enhancement of asymmetric steering via interference effects induced by closed-loop coupling

Necessary conditions for steerability of two qubits from consideration of local operations

Experimental observation of Einstein-Podolsky-Rosen steering via entanglement detection

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