{
  "annotation_id": "6b6fe7e6-0da3-408e-9d01-95a7289e1647",
  "date_created": "2026-03-02T18:02:30.429000Z",
  "date_modified": "2026-03-02T18:02:30.429000Z",
  "file_hash": "96e99eda6563fcd82411f03b35df019e3b9e268e2b4b0c9d1ec37ffa1972312e",
  "private": false,
  "record": {
    "abstract": "Recently [quant-ph/0608250] again created a lot of interest to prove the\nexistence of bound entangled states with negative partial transpose (NPT) in\nany $d \\times d (d \\geq 3)$ Hilbert space. However the proof in\nquant-ph/0608250 is not complete but it shows some interesting properties of\nthe Schmidt rank two states. In this work we are trying to probe the problem in\na different angle considering the work by D\\\"{u}r et.al [Phys. Rev. A, 61,\n062313(2000)]. We have assumed that the Schmidt rank two states should satisfy\nsome bounds. Under some assumptions with these bounds one could prove the\nexistence of NPT bound entangled states. We particularly discuss the case of\ntwo copy undistillability of the conjectured family of NPT states. Obviously\nthe class of NPT bound entangled states belong to the class of conjectured to\nbe bound entangled states by Divincenzo et.al [Phys. Rev. A, 61, 062312(2000)]\nand by D\\\"{u}r et.al [Phys. Rev. A, 61, 062313(2000)]. However the problem of\nexistence of NPT bound entangled states still remain open.",
    "arxiv_id": "quant-ph/0609050",
    "authors": [
      "Indrani Chattopadhyay",
      "Debasis Sarkar"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "NPT Bound Entanglement- The Problem Revisited",
    "url": "https://arxiv.org/abs/quant-ph/0609050"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "329a615d-c992-41a9-bff6-e9bf9d19bc92",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}