Separability from spectrum

Characterize the spectra that force every bipartite state with those eigenvalues to be separable, and decide whether a PPT test suffices.

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File it in the catalog (shoal-catalog 0521c19bbd38)

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	1	+{
	2	+ "domain": "physics-astronomy",
	3	+ "topics": [
	4	+ "quantum-information"
	5	+ ],
	6	+ "type": "proof",
	7	+ "source": {
	8	+ "key": "qiqcop",
	9	+ "name": "QIQCOP Zoo",
	10	+ "url": "https://qiqc-op.com/problem/op_b063bdae4363cda8/",
	11	+ "id": "op_b063bdae4363cda8",
	12	+ "curator": "Bikun Li, Qicheng Tang, Changhao Li, Chengkai Zhu, Minbo Gao, Zhong-Xia Shang, Bin Cheng and Naixu Guo",
	13	+ "poser": "Emanuel Knill (2003)",
	14	+ "status": "unsolved",
	15	+ "as_of": "2026-10-20",
	16	+ "catalog": "0521c19bbd38"
	17	+ }
	18	+}