Multipartite entanglement detection based on the generalized state-dependent entropic uncertainty relation for multiple measurements

Ren, Li-Hang; Shi, Yun-Hao; Jin-Jun, Chen,; Fan, Heng

doi:10.1103/physreva.107.052617

Cited by 6 publications

(2 citation statements)

References 54 publications

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“…are diagonal matrices under the reference basis satisfying (34)(35)(36), we can find that equation (32) holds.…”

Section: Mixed Single-qudit Statesmentioning

confidence: 99%

“…Quantum coherence is not only a manifestation of the superposition principle of quantum states, but also a crucial feature of quantum mechanics. It has been shown that coherence can be regarded as a physical resource , similar to entanglement [36][37][38][39][40][41][42]. One of the main challenges of quantum coherence theory is to find effective methods to capture the dynamics of coherence.…”

Section: Introductionmentioning

confidence: 99%

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Quantum G-coherence factorization law under fully and strictly incoherent operations

Zhao,

Shao,

Zheng

et al. 2024

Phys. Scr.

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Quantum coherence plays an important role in quantum resource theory, which is strongly related with entanglement. In order to quantify the full coherence of qudit states, we define G-coherence and convex roof of G-coherence, and prove that the G-coherence is a strong coherence monotone and the convex roof of G-coherence is a coherence measure under fully and strictly incoherent operation (FSIO), respectively. Similar to the entanglement factorization law, we prove a coherence factorization law for arbitrary d-dimensional quantum pure and mixed states under FSIO channels, which generalizes the entanglement factorization law for bipartite pure states. Our results will play an important role in the simplification of dynamical coherence measure.

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“…are diagonal matrices under the reference basis satisfying (34)(35)(36), we can find that equation (32) holds.…”

Section: Mixed Single-qudit Statesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantum G-coherence factorization law under fully and strictly incoherent operations

Zhao,

Shao,

Zheng

et al. 2024

Phys. Scr.

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show abstract

Purity‐Assisted Zero‐Noise Extrapolation for Quantum Error Mitigation

Jin,

Shi,

Wang

et al. 2024

Adv Quantum Tech

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Quantum error mitigation aims to reduce errors in quantum systems and improve accuracy. Zero‐noise extrapolation (ZNE) is a commonly used method, where noise is amplified, and the target expectation is extrapolated to a noise‐free point. However, ZNE relies on assumptions about error rates based on the error model. In this study, a purity‐assisted zero‐noise extrapolation (pZNE) method is utilized to address limitations in error rate assumptions and enhance the extrapolation process. The pZNE is based on the Pauli diagonal error model implemented using the Pauli twirling technique. Although this method does not significantly reduce the bias of routine ZNE, it extends its effectiveness to a wider range of error rates where routine ZNE may face limitations. In addition, the practicality of the pZNE method is verified through numerical simulations and experiments on the online quantum computation platform,Quafu. Comparisons with routine ZNE and virtual distillation methods show that biases in extrapolation methods increase with error rates and may become divergent at high error rates. The bias of pZNE is slightly lower than routine ZNE, while its error rate threshold surpasses that of routine ZNE. Furthermore, for full density matrix information, the pZNE method is more efficient than the routine ZNE.

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Multipartite entanglement detection via generalized Wigner–Yanase skew information

Hong,

Xing,

Gao

et al. 2024

Results in Physics

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Multipartite entanglement detection based on the generalized state-dependent entropic uncertainty relation for multiple measurements

Cited by 6 publications

References 54 publications

Quantum G-coherence factorization law under fully and strictly incoherent operations

Quantum G-coherence factorization law under fully and strictly incoherent operations

Purity‐Assisted Zero‐Noise Extrapolation for Quantum Error Mitigation

Multipartite entanglement detection via generalized Wigner–Yanase skew information

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