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Non-Locality$\neq$Quantum Entanglement
Quantum Physics · Submitted 8 Sep 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Therefore, we conclude ``Non-Locality$\neq$Quantum Entanglement''.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
The unique entanglement measure is concurrence in a 2-qubit pure state. The maximum violation of Bell's inequality is monotonically increasing for this quantity. Therefore, people expect that pure state entanglement is relevant to the non-locality. For justification, we extend the study to three qubits. We consider all possible 3-qubit operators with a symmetric permutation. When only considering one entanglement measure, the numerical result contradicts expectation. Therefore, we conclude ``Non-Locality$\neq$Quantum Entanglement''. We propose the generalized $R$-matrix or correlation matrix for the new diagnosis of Quantum Entanglement. We then demonstrate the evidence by restoring the monotonically increasing result.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The unique entanglement measure is concurrence in a 2-qubit pure state. | background 1.00 | 0.09 | 0.02 | asserted 1.00 |
| s1 | The maximum violation of Bell's inequality is monotonically increasing for this quantity. | background 0.51 | 0.29 | 0.02 | asserted 1.00 |
| s2 | Therefore, people expect that pure state entanglement is relevant to the non-locality. | background 0.76 | 0.05 | 0.04 | hedged possibility 0.61 |
| s3 | For justification, we extend the study to three qubits. | contribution 0.61 | 0.79 | 0.02 | asserted 0.82 |
| s4 | We consider all possible 3-qubit operators with a symmetric permutation. | method 0.90 | 0.82 | 0.02 | asserted 0.89 |
| s5 | When only considering one entanglement measure, the numerical result contradicts expectation. | result 1.00 | 0.89 | 0.04 | asserted 1.00 |
| s6 | Therefore, we conclude ``Non-Locality$\neq$Quantum Entanglement''. | interpretation 0.85 | 0.77 | 0.98 | asserted 1.00 |
| s7 | We propose the generalized $R$-matrix or correlation matrix for the new diagnosis of Quantum Entanglement. | contribution 0.88 | 0.85 | 0.05 | asserted 0.82 |
| s8 | We then demonstrate the evidence by restoring the monotonically increasing result. | result 0.89 | 0.90 | 0.04 | asserted 1.00 |
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The paper
Original abstract
The unique entanglement measure is concurrence in a 2-qubit pure state. The maximum violation of Bell's inequality is monotonically increasing for this quantity. Therefore, people expect that pure state entanglement is relevant to the non-locality. For justification, we extend the study to three qubits. We consider all possible 3-qubit operators with a symmetric permutation. When only considering one entanglement measure, the numerical result contradicts expectation. Therefore, we conclude ``Non-Locality$\neq$Quantum Entanglement''. We propose the generalized $R$-matrix or correlation matrix for the new diagnosis of Quantum Entanglement. We then demonstrate the evidence by restoring the monotonically increasing result.
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How the literature uses it
2 arXiv papers cite this in 3 sentences
What it cites · 24 sentences without a confident label
Cites as support 1 paper
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The appearance of 3-body entanglement quantity implies that the 2-body entanglement quantities are not enough [ref] .
Distributed Entanglement · Entanglement Measures · 0.98
Cites as background 1 paper
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People combine all concepts to develop a fundamental theory at an atomic scale, Quantum Mechanics (QM) [ref] .
Parity Anomaly and Duality Web · Introduction · 0.99
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