{"paper":{"title":"Detecting qubit entanglement : an alternative to the PPT test","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Joseph Samuel, Kumar Shivam, Supurna Sinha","submitted_at":"2017-12-19T06:38:06Z","abstract_excerpt":"We propose a Partial Lorentz Transformation (PLT) test for detecting entanglement in a two qubit system. One can expand the density matrix of a two qubit system in terms of a tensor product of $(\\mathbb{I}, \\vec{\\sigma})$. The matrix $A$ of the coefficients that appears in such an expansion can be \"squared\" to form a $4\\times4$ matrix $B$. It can be shown that the eigenvalues $\\lambda_0, \\lambda_1, \\lambda_2, \\lambda_3$ of $B$ are positive. With the choice of $\\lambda_0$ as the dominant eigenvalue, the separable states satisfy $\\sqrt{\\lambda_1}+\\sqrt{\\lambda_2}+\\sqrt{\\lambda_3}\\leq \\sqrt{\\lamb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.06801","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}