Decomposition of a symmetric multipartite observable

Zhou, Y.; Guo, Chenghao; Ma, Xiongfeng

doi:10.1103/physreva.99.052324

Cited by 12 publications

(19 citation statements)

References 32 publications

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“…Surprisingly, the white noise tolerance in Eq. (35) is better than the one in Eq. (33), as illustrated in Fig.…”

Section: B Detection Protocol Under Noise Modelmentioning

confidence: 80%

“…Thus it is significant to investigate further whether it is a general phenomenon. Third, it is interesting to extend the current protocol to more general states, such as permutation-invariant states [34,35] and stabilizer states [5,27], where quantum error correction or mitigation methods can be applied to eliminate or reduce the effect of coherent noises. Fourth, it is also intriguing to study the entanglement detection under other types of coherent noises, which appear in certain experimental systems.…”

Section: Discussionmentioning

confidence: 99%

“…Finally, let us derive Eq. (35), which is the tolerance of the finest witness in Eq. (20) for the noisy state in Eq.…”

Section: Discussionmentioning

confidence: 99%

“…Comparison between the white noise tolerances in Eq. (33) and(35). They are tolerances of the finest witness in Eq (29).…”

mentioning

confidence: 99%

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Entanglement detection under coherent noise: Greenberger-Horne-Zeilinger-like states

Zhou

2020

Phys. Rev. A

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Entanglement is an essential resource in many quantum information tasks and entanglement witness is a widely used tool for its detection. In experiments the prepared state generally deviates from the target state due to some noise. Normally the white noise model is applied to quantifying such derivation and in the same time reveals the robustness of the witness. However, there may exist other kind of noise, in which the coherent noise can dramatically "rotate" the prepared state. In this way, the coherent noise is likely to lead to a failure of the detection, even though the underlying state is actually entangled. In this work, we propose an efficient entanglement detection protocol for N -partite Greenberger-Horne-Zeilinger (GHZ)-like states. The protocol can eliminate the effect of the coherent noise and in the same time feedback the corresponding noise parameters, which are beneficial to further improvements on the experiment system. In particular, we consider two experiment-relevant coherent noise models, one is from the unconscious phase accumulation on N qubits, the other is from the rotation on the control qubit. The protocol effectively realizes a family of entanglement witnesses by postprocessing the measurement results from N + 2 local measurement settings, which only adds one more setting than the original witness specialized for the GHZ state. Our protocol can enhance the entanglement detection under coherent noises and acts as a benchmark and calibration for the state-of-the-art quantum devices. *

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“…Surprisingly, the white noise tolerance in Eq. (35) is better than the one in Eq. (33), as illustrated in Fig.…”

Section: B Detection Protocol Under Noise Modelmentioning

confidence: 80%

Section: Discussionmentioning

confidence: 99%

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Entanglement detection under coherent noise: Greenberger-Horne-Zeilinger-like states

Zhou

2020

Phys. Rev. A

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“…Here we show how to calculate the entanglement entropy S(ρ A2 ) by using the formula in Eq. (35), and the entanglement entropy of other subsystems can be calculated similarly. The matrix Γ A2,Ā2 which describes the connections between A 2 andĀ 2 = A 1 A 3 shows, Γ A2,Ā2 = 1 4 5 6 2 1 0 0 0 3 0 1 0 0 ,…”

Section: Examples: 1-d and 2-d Cluster Statesmentioning

confidence: 99%

Detecting multipartite entanglement structure with minimal resources

et al. 2019

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Recently, there are tremendous developments on the number of controllable qubits in several quantum computing systems. For these implementations, it is crucial to determine the entanglement structure of the prepared multipartite quantum state as a basis for further information processing tasks. In reality, evaluation of a multipartite state is in general a very challenging task owing to the exponential increase of the Hilbert space with respect to the number of system components. In this work, we propose a systematic method using very few local measurements to detect multipartite entanglement structures based on the graph state -one of the most important classes of quantum states for quantum information processing. Thanks to the close connection between the Schmidt coefficient and quantum entropy in graph states, we develop a family of efficient witness operators to detect the entanglement between subsystems under any partitions and hence the entanglement intactness. We show that the number of local measurements equals to the chromatic number of the underlying graph, which is a constant number, independent of the number of qubits. In reality, the optimization problem involved in the witnesses can be challenging with large system size. For several widely-used graph states, such as 1-D and 2-D cluster states and the Greenberger-Horne-Zeilinger state, by taking advantage of the area law of entanglement entropy, we derive analytical solutions for the witnesses, which only employ two local measurements. Our method offers a standard tool for entanglement structure detection to benchmark multipartite quantum systems. arXiv:1904.05001v2 [quant-ph]

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A scheme to create and verify scalable entanglement in optical lattice

Zhou

Xiao

et al. 2022

npj Quantum Inf

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To achieve scalable quantum information processing, great efforts have been devoted to the creation of large-scale entangled states in various physical systems. Ultracold atom in optical lattice is considered as one of the promising platforms due to its feasible initialization and parallel manipulation. In this work, we propose an efficient scheme to generate and characterize global entanglement in the optical lattice. With only two-layer quantum circuits, the generation utilizes two-qubit entangling gates based on the superexchange interaction in double wells. The parallelism of these operations enables the generation to be fast and scalable. To verify the entanglement of this non-stabilizer state, we mainly design three complementary detection protocols which are less resource-consuming compared to the full tomography. In particular, one just needs two homogenous local measurement settings to identify the entanglement property. Our entanglement generation and verification protocols provide the foundation for the further quantum information processing in optical lattice.

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Decomposition of a symmetric multipartite observable

Cited by 12 publications

References 32 publications

Entanglement detection under coherent noise: Greenberger-Horne-Zeilinger-like states

Entanglement detection under coherent noise: Greenberger-Horne-Zeilinger-like states

Detecting multipartite entanglement structure with minimal resources

A scheme to create and verify scalable entanglement in optical lattice

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