Demonstration of Einstein–Podolsky–Rosen steering with enhanced subchannel discrimination

Sun, Kai; Ye, Xiang-Jun; Xiao, Ya; Xu, Xiao‐Ye; Wu, Yu-Chun; Xu, Jin‐Shi; Chen, Jing-Ling; Li, Chuan‐Feng; Guo, Guang‐Can

doi:10.1038/s41534-018-0067-1

Cited by 74 publications

(29 citation statements)

References 58 publications

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“…Compared with the previous experimental works 53,60,[64][65][66] in the MDI scenarios, our method not only certifies the existence of entanglement and measurement incompatibility, but also bounds these quantities. Moreover, our experimental result roughly relates with the probabilities of successful subchannel discrimination in the MDI scenario 38,67 .…”

Section: Introductionsupporting

confidence: 58%

Experimental demonstration of measurement-device-independent measure of quantum steering

Zhao

Chen

et al. 2020

npj Quantum Inf

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Within the framework of quantum refereed steering games, quantum steerability can be certified without any assumption on the underlying state nor the measurements involved. Such a scheme is termed the measurement-device-independent (MDI) scenario. Here, we introduce a measure of steerability in an MDI scenario, i.e., the result merely depends on the observed statistics and the quantum inputs. We prove that such a measure satisfies the convex steering monotone. Moreover, it is robust against not only measurement biases but also losses. We also experimentally estimate the amount of the measure with an entangled photon source. As two by-products, our experimental results provide lower bounds on an entanglement measure of the underlying state and an incompatible measure of the involved measurement. Our research paves a way for exploring one-side device-independent quantum information processing within an MDI framework.

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Section: Introductionsupporting

confidence: 58%

Experimental demonstration of measurement-device-independent measure of quantum steering

Zhao

Chen

et al. 2020

npj Quantum Inf

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“…This results in an experimentally feasible scenario for investigating the strength of quantum memories. Indeed, similar techniques have been used for experimental evaluation of the robustness of quantum steering and coherence [42,43].…”

Section: From States To Channels: Quantum Memoriesmentioning

confidence: 99%

Quantum marginal problem and incompatibility

Haapasalo

Kraft

Miklin

et al. 2021

Quantum

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One of the basic distinctions between classical and quantum mechanics is the existence of fundamentally incompatible quantities. Such quantities are present on all levels of quantum objects: states, measurements, quantum channels, and even higher order dynamics. In this manuscript, we show that two seemingly different aspects of quantum incompatibility: the quantum marginal problem of states and the incompatibility on the level of quantum channels are in many-to-one correspondence. Importantly, as incompatibility of measurements is a special case of the latter, it also forms an instance of the quantum marginal problem. The generality of the connection is harnessed by solving the marginal problem for Gaussian and Bell diagonal states, as well as for pure states under depolarizing noise. Furthermore, we derive entropic criteria for channel compatibility, and develop a converging hierarchy of semi-definite programs for quantifying the strength of quantum memories.

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“…In Wiseman's definition, quantum steering that logically intermediates between quantum entanglement and Bell nonlocality, describes the ability of one party, Alice, to nonlocally control the state of another party, Bob, even when Bob does not trust Alice's measurement apparatus, exhibiting unique asymmetric behavior [11][12][13][14]. As an essential type of quantum correlations, quantum steering has great applications in quantum key distribution [15,16], subchannel discrimination [17], asymmetric quantum network [18], randomness generation [19,20] and randomness certification [21]. In the standard EPR steering tasks, N entangled particles are separately distributed to N different observers and each observer performs some projective (sharp) measurements to demonstrate her or his steerability.…”

Section: Introductionmentioning

confidence: 99%

Sharing quantum steering among multiple Alices and Bobs via a two-qubit Werner state

Han

Xiao

et al. 2021

Quantum Inf Process

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Quantum steering, a type of quantum correlation with unique asymmetry, has important applications in asymmetric quantum information tasks. We consider a new quantum steering scenario in which one half of a two-qubit Werner state is sequentially measured by multiple Alices and the other half by multiple Bobs. We find that the maximum number of Alices who can share steering with a single Bob increases from 2 to 5 when the number of measurement settings N increases from 2 to 16. Furthermore, we find a counterintuitive phenomenon that for a fixed N, at most 2 Alices can share steering with 2 Bobs, while 4 or more Alices are allowed to share steering with a single Bob. We further analyze the robustness of the steering sharing by calculating the required purity of the initial Werner state, the lower bound of which varies from 0.503(1) to 0.979(5). Finally, we show that our both-sides sequential steering sharing scheme can be applied to control the steering ability, even the steering direction, if an initial asymmetric state or asymmetric measurement is adopted. Our work gives insights into the diversity of steering sharing and can be extended to study the problems such as genuine multipartite quantum steering when the sequential unsharp measurement is applied.

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Demonstration of Einstein–Podolsky–Rosen steering with enhanced subchannel discrimination

Cited by 74 publications

References 58 publications

Experimental demonstration of measurement-device-independent measure of quantum steering

Experimental demonstration of measurement-device-independent measure of quantum steering

Quantum marginal problem and incompatibility

Sharing quantum steering among multiple Alices and Bobs via a two-qubit Werner state

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