dorsal/arxiv
View SchemaCharacterizing 3-qubit UPB states: violations of LHV models, preparation via nonlocal unitaries and PPT entangled nonlocal orbits
| Authors | Claudio Altafini |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0405124 |
| URL | https://arxiv.org/abs/quant-ph/0405124 |
Abstract
For the 3-qubit UPB state, i.e., the bound entangled state constructed from an Unextendable Product Basis of Bennett et al. (Phys. Rev. Lett. 82:5385, 1999), we provide a set of violations of Local Hidden Variable (LHV) models based on the particular type of reflection symmetry encoded in this state. The explicit nonlocal unitary operation needed to prepare the state from its reflected separable mixture of pure states is given, as well as a nonlocal one-parameter orbit of states with Positive Partial Transpositions (PPT) which swaps the entanglement between a state and its reflection twice during a period.
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"abstract": "For the 3-qubit UPB state, i.e., the bound entangled state constructed from\nan Unextendable Product Basis of Bennett et al. (Phys. Rev. Lett. 82:5385,\n1999), we provide a set of violations of Local Hidden Variable (LHV) models\nbased on the particular type of reflection symmetry encoded in this state. The\nexplicit nonlocal unitary operation needed to prepare the state from its\nreflected separable mixture of pure states is given, as well as a nonlocal\none-parameter orbit of states with Positive Partial Transpositions (PPT) which\nswaps the entanglement between a state and its reflection twice during a\nperiod.",
"arxiv_id": "quant-ph/0405124",
"authors": [
"Claudio Altafini"
],
"categories": [
"quant-ph"
],
"title": "Characterizing 3-qubit UPB states: violations of LHV models, preparation via nonlocal unitaries and PPT entangled nonlocal orbits",
"url": "https://arxiv.org/abs/quant-ph/0405124"
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