Experimental Measurement-Device-Independent Quantum Steering and Randomness Generation Beyond Qubits

Guo, Yu; Cheng, Shuming; Hu, Xiaomin; Liu, Bi-Heng; Huang, En-Ming; Huang, Yun‐Feng; Li, Chuan‐Feng; Guo, Guang‐Can; Cavalcanti, Eric G.

doi:10.1103/physrevlett.123.170402

Cited by 45 publications

(18 citation statements)

References 48 publications

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“…This could be strengthened by highly efficient superconducting detectors 31 and a complete high-dimensional Bell state measurement. Also, our experiment leads to important applications based on high-dimensional entangled systems, such as randomness generation 32,33 and high-dimensional quantum key distribution 34 , without assumptions on the measurement apparatus.…”

Section: Discussionmentioning

confidence: 99%

Measurement-device-independent quantification of irreducible high-dimensional entanglement

Guo

et al. 2020

npj Quantum Inf

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The certification of entanglement dimensionality is of great importance in characterizing quantum systems. Recently, it was pointed out that quantum correlation of high-dimensional states can be simulated with a sequence of lower-dimensional states. Such a problem may render existing characterization protocols unreliable—the observed entanglement may not be a truly high-dimensional one. Here, we introduce the notion of irreducible entanglement to capture its dimensionality that is indecomposable in terms of a sequence of lower-dimensional entangled systems. We prove this new feature can be detected in a measurement-device-independent manner with an entanglement witness protocol. To demonstrate the practicability of this technique, we experimentally apply it on a 3-dimensional bipartite state, and the result certifies the existence of irreducible (at least) 3-dimensional entanglement.

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Section: Discussionmentioning

confidence: 99%

Measurement-device-independent quantification of irreducible high-dimensional entanglement

Guo

et al. 2020

npj Quantum Inf

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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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“…Both phenomena can theoretically leverage highdimensional shared states to improve their magnitude, or resistance to noise and losses [4,5]. In turn, they can also allow for a certification of the dimension of the underlying state, with no characterisation of the devices for nonlocality, and only on one side for steering.…”

Section: Introductionmentioning

confidence: 99%

Robust genuine high-dimensional steering with many measurements

Designolle

2021

Preprint

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Quantum systems of high dimensions are attracting a lot of attention as they feature interesting properties when it comes to observing entanglement or other forms of correlations. In particular, their improved resistance to noise is favourable for experiments in quantum communication or quantum cryptography. However, witnessing this high-dimensional nature remains challenging, especially when the assumptions on the parties involved are weak, typically when one of them is considered as a black box. In this context, the concept of genuine high-dimensional steering has been recently introduced and experimentally demonstrated [Phys. Rev. Lett. 126, 200404 (2021)]; it allows for a one-sided device-independent certification of the dimension of a bipartite shared state by only using two measurements. Here I overcome this limitation by developing, for more than two measurements, universal bounds on the incompatibility robustness, turned into meaningful dimension certificates. Interestingly, even though the resulting bounds are quite loose, they still often offer an increased resistance to noise and could then be advantageously employed in experiments.

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Experimental Measurement-Device-Independent Quantum Steering and Randomness Generation Beyond Qubits

Cited by 45 publications

References 48 publications

Measurement-device-independent quantification of irreducible high-dimensional entanglement

Measurement-device-independent quantification of irreducible high-dimensional entanglement

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

Robust genuine high-dimensional steering with many measurements

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