dorsal/arxiv
View SchemaA criterion for testing multi-particle NPT entanglement
| Authors | B. Zeng, D. L. Zhou, P. Zhang, Z. Xu, L. You |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0305091 |
| URL | https://arxiv.org/abs/quant-ph/0305091 |
Abstract
We revisit the criterion of multi-particle entanglement based on the overlaps of a given quantum state $\rho$ with maximally entangled states. For a system of $m$ particles, each with $N$ distinct states, we prove that $\rho$ is $m$-particle negative partial transpose (NPT) entangled, if there exists a maximally entangled state $|{\rm MES}>$, such that $<{\rm MES}|\rho|{\rm MES}>>{1}/{N}$. While this sufficiency condition is weaker than the Peres-Horodecki criterion in all cases, it applies to multi-particle systems, and becomes especially useful when the number of particles ($m$) is large. We also consider the converse of this criterion and illustrate its invalidity with counter examples.
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"abstract": "We revisit the criterion of multi-particle entanglement based on the overlaps\nof a given quantum state $\\rho$ with maximally entangled states. For a system\nof $m$ particles, each with $N$ distinct states, we prove that $\\rho$ is\n$m$-particle negative partial transpose (NPT) entangled, if there exists a\nmaximally entangled state $|{\\rm MES}\u003e$, such that $\u003c{\\rm MES}|\\rho|{\\rm\nMES}\u003e\u003e{1}/{N}$. While this sufficiency condition is weaker than the\nPeres-Horodecki criterion in all cases, it applies to multi-particle systems,\nand becomes especially useful when the number of particles ($m$) is large. We\nalso consider the converse of this criterion and illustrate its invalidity with\ncounter examples.",
"arxiv_id": "quant-ph/0305091",
"authors": [
"B. Zeng",
"D. L. Zhou",
"P. Zhang",
"Z. Xu",
"L. You"
],
"categories": [
"quant-ph"
],
"title": "A criterion for testing multi-particle NPT entanglement",
"url": "https://arxiv.org/abs/quant-ph/0305091"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "9432db9f-e233-4ef3-8a25-5105eccc4596",
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"variant": "snapshot-2026-03-01",
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