Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2211.00911 · Physical Review A

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

Li-Hang Ren, Yun‐Hao Shi, Jinjun Chen, Heng Fan

Published May 30, 2023• 10 citations
arXivHTMLPDF

Abstract

We present the generalized state-dependent entropic uncertainty relations in a multiple measurements setting and the optimal lower bound is obtained by considering different measurement sequences. We then apply this uncertainty relation to witness entanglement and give the experimentally accessible lower bounds on both bipartite and tripartite entanglements. This method of detecting entanglement is applied to a physical system of two particles on a one-dimensional lattice and Greenberger-Horne-Zeilinger (GHZ)-Werner state. It is shown that, for measurements that are not in mutually unbiased bases, this generalized entropic uncertainty relation is superior to the previous state-independent one in entanglement detection. Furthermore, we conduct a demonstration of multipartite entanglement detection of GHZ states up to ten qubits on the Quafu cloud quantum computation platform. Our results might play important roles in detecting multipartite entanglement experimentally.

DOI
10.1103/physreva.107.052617

Related papers

Generalized multipartite entropic uncertainty relations: theory and experiment

Zhaoan Wang, Bo-Fu Xie, Fei Ming +9 more

Abstract Entropic uncertainty relation (EUR) plays a vital role in quantum information theories by demonstrating the intrinsic uncertainty of nature from the information-theoretic perspective. A tighter lower bound for uncertainty relations facilitates more accurate predictions of measurement outcomes and more robust quantum information processing. However, meaningful EURs in multipartite scenarios are yet to be identified. In this study, we derived a generalized EUR (GEUR) for the measurement of multiple observables in arbitrary many-body systems. The corresponding GEUR bound is shown to be tighter than Renes--Boileau \textit{et al.}'s bound when applied in a tripartite scenario. We experimentally tested the GEUR with a four-photon entangled state in an optical platform. We demonstrated that GEUR provides a tighter lower bound of the quantum-secret-key rate, which can readily accelerate practical quantum key distribution protocols. By providing a close peek at the nature of uncertainty, our results may find broad applications in the security analysis of quantum cryptography.

•Sep 23, 2022•1 citation

Experimentally Accessible Bounds on Distillable Entanglement from Entropic Uncertainty Relations

Bjarne Bergh, Martin Gärttner

Entanglement is not only the resource that fuels many quantum technologies but also plays a key role for some of the most profound open questions of fundamental physics. Experiments controlling quantum systems at the single quantum level may shed light on these puzzles. However, measuring, or even bounding, entanglement experimentally has proven to be an outstanding challenge, especially when the prepared quantum states are mixed. We use entropic uncertainty relations for bipartite systems to derive measurable lower bounds on distillable entanglement. We showcase these bounds by applying them to physical models realizable in cold-atom experiments. The derived entanglement bounds rely on measurements in only two different bases and are generically applicable to any quantum simulation platform.

arXiv:2101.08847•Physical Review Letters•May 12, 2021•19 citations

Precise detection of multipartite entanglement in four-qubit Greenberger–Horne–Zeilinger diagonal states

Xiao-Yu Chen, Li-Zhen Jiang, Zhu-An Xu

We propose a method of constructing the separability criteria for multipartite quantum states on the basis of entanglement witnesses. The entanglement witnesses are obtained by finding the maximal expectation values of Hermitian operators and then optimizing over all possible Hermitian operators. We derive a set of tripartite separability criteria for the four-qubit Greenberger–Horne–Zeilinger (GHZ) diagonal states. The derived criterion set contains four criteria that are necessary and sufficient for the tripartite separability of the highly symmetric four-qubit GHZ diagonal states; the criteria completely account for the numerically obtained boundaries of the tripartite separable state set. One of the criteria is just the tripartite separability criterion of the four-qubit generalized Werner states.

arXiv:1808.00368•Frontiers of Physics•Sep 12, 2018•16 citations

Generalized uncertainty relations for multiple measurements

Lin Wu, Xue‐Ke Song, Liu Ye +1 more

Abstract The uncertainty relation is regarded as a remarkable feature of quantum mechanics differing from the classical counterpart, and it plays a backbone role in the region of quantum information theory. In principle, the uncertainty relation offers a nontrivial limit to predict the outcome of arbitrarily incompatible observed variables. Therefore, to pursue a more general uncertainty relations ought to be considerably important for obtaining accurate predictions of multi-observable measurement results in genuine multipartite systems. In this article, we derive a generalized entropic uncertainty relation (EUR) for multi-measurement in a multipartite framework. It is proved that the bound we proposed is stronger than the one derived from Renes et al. in [Phys. Rev. Lett. 103,020402(2009) ] for the arbitrary multipartite case. As an illustration, we take several typical scenarios that confirm that our proposed bound outperforms that presented by Renes et al. Hence, we believe our findings provide generalized uncertainty relations with regard to multi-measurement setting, and facilitate the EUR’s applications on quantum precision measurement regarding genuine multipartite systems.

AAPPS bulletin•Aug 15, 2022•4 citations

Experimental test of generalized multipartite entropic uncertainty relations

Zhaoan Wang, Bo-Fu Xie, Fei Ming +10 more

Entropic uncertainty relation (EUR) formulates the restriction of the inherent uncertainty of quantum mechanics from an information-theoretic perspective. A tighter lower bound for uncertainty relations can provide information-theoretic security to quantum communication protocols. Recently, a generalized EUR (GEUR) for the measurement of multiple observables in arbitrary many-body systems has been formulated. Here, we experimentally test this GEUR using a four-photon entangled state with a controllable decoherence channel and show that for the tripartite scenario, the GEUR improves the entropic bound from Renes and Boileau's famous results. As an application, we further demonstrate an improvement of the secure key rate in quantum key distribution from the GEUR. Our results extend the test of EURs into multipartite regimes and may find applications in practical quantum cryptography tasks.

arXiv:2207.12693•Physical Review A•Dec 26, 2024•14 citations

Entanglement detection in quantum many-body systems using entropic uncertainty relations

Bjarne Bergh, Martin Gärttner

The authors study experimentally accessible lower bounds on entanglement measures for quantum many-body systems based on entropic uncertainty relations. Rather than requiring the full reconstruction of the quantum state, the bound derived here requires measuring joint probability distributions in only two different measurement settings per subsystem.

arXiv:2101.08848•Physical Review A•May 12, 2021•24 citations
We present the generalized state-dependent entropic uncertainty relations in a multiple measurements setting and the optimal lower bound is obtained by considering different measurement sequences. We then apply this uncertainty relation to witness entanglement and give the experimentally accessible lower bounds on both bipartite and tripartite entanglements. This method of detecting entanglement is applied to a physical system of two particles on a one-dimensional lattice and Greenberger-Horne-Zeilinger (GHZ)-Werner state. It is shown that, for measurements that are not in mutually unbiased bases, this generalized entropic uncertainty relation is superior to the previous state-independent one in entanglement detection. Furthermore, we conduct a demonstration of multipartite entanglement detection of GHZ states up to ten qubits on the Quafu cloud quantum computation platform. Our results might play important roles in detecting multipartite entanglement experimentally.
Abstract Entropic uncertainty relation (EUR) plays a vital role in quantum information theories by demonstrating the intrinsic uncertainty of nature from the information-theoretic perspective. A tighter lower bound for uncertainty relations facilitates more accurate predictions of measurement outcomes and more robust quantum information processing. However, meaningful EURs in multipartite scenarios are yet to be identified. In this study, we derived a generalized EUR (GEUR) for the measurement of multiple observables in arbitrary many-body systems. The corresponding GEUR bound is shown to be tighter than Renes--Boileau \textit{et al.}'s bound when applied in a tripartite scenario. We experimentally tested the GEUR with a four-photon entangled state in an optical platform. We demonstrated that GEUR provides a tighter lower bound of the quantum-secret-key rate, which can readily accelerate practical quantum key distribution protocols. By providing a close peek at the nature of uncertainty, our results may find broad applications in the security analysis of quantum cryptography.
Entanglement is not only the resource that fuels many quantum technologies but also plays a key role for some of the most profound open questions of fundamental physics. Experiments controlling quantum systems at the single quantum level may shed light on these puzzles. However, measuring, or even bounding, entanglement experimentally has proven to be an outstanding challenge, especially when the prepared quantum states are mixed. We use entropic uncertainty relations for bipartite systems to derive measurable lower bounds on distillable entanglement. We showcase these bounds by applying them to physical models realizable in cold-atom experiments. The derived entanglement bounds rely on measurements in only two different bases and are generically applicable to any quantum simulation platform.
We propose a method of constructing the separability criteria for multipartite quantum states on the basis of entanglement witnesses. The entanglement witnesses are obtained by finding the maximal expectation values of Hermitian operators and then optimizing over all possible Hermitian operators. We derive a set of tripartite separability criteria for the four-qubit Greenberger–Horne–Zeilinger (GHZ) diagonal states. The derived criterion set contains four criteria that are necessary and sufficient for the tripartite separability of the highly symmetric four-qubit GHZ diagonal states; the criteria completely account for the numerically obtained boundaries of the tripartite separable state set. One of the criteria is just the tripartite separability criterion of the four-qubit generalized Werner states.
Abstract The uncertainty relation is regarded as a remarkable feature of quantum mechanics differing from the classical counterpart, and it plays a backbone role in the region of quantum information theory. In principle, the uncertainty relation offers a nontrivial limit to predict the outcome of arbitrarily incompatible observed variables. Therefore, to pursue a more general uncertainty relations ought to be considerably important for obtaining accurate predictions of multi-observable measurement results in genuine multipartite systems. In this article, we derive a generalized entropic uncertainty relation (EUR) for multi-measurement in a multipartite framework. It is proved that the bound we proposed is stronger than the one derived from Renes et al. in [Phys. Rev. Lett. 103,020402(2009) ] for the arbitrary multipartite case. As an illustration, we take several typical scenarios that confirm that our proposed bound outperforms that presented by Renes et al. Hence, we believe our findings provide generalized uncertainty relations with regard to multi-measurement setting, and facilitate the EUR’s applications on quantum precision measurement regarding genuine multipartite systems.
Entropic uncertainty relation (EUR) formulates the restriction of the inherent uncertainty of quantum mechanics from an information-theoretic perspective. A tighter lower bound for uncertainty relations can provide information-theoretic security to quantum communication protocols. Recently, a generalized EUR (GEUR) for the measurement of multiple observables in arbitrary many-body systems has been formulated. Here, we experimentally test this GEUR using a four-photon entangled state with a controllable decoherence channel and show that for the tripartite scenario, the GEUR improves the entropic bound from Renes and Boileau's famous results. As an application, we further demonstrate an improvement of the secure key rate in quantum key distribution from the GEUR. Our results extend the test of EURs into multipartite regimes and may find applications in practical quantum cryptography tasks.