dorsal/arxiv
View SchemaEntangled Rings
| Authors | Kevin M. O'Connor, William K. Wootters |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0009041 |
| URL | https://arxiv.org/abs/quant-ph/0009041 |
| DOI | 10.1103/PhysRevA.63.052302 |
| Journal | Phys. Rev. A 63 (2001) 052302 |
Abstract
Consider a ring of N qubits in a translationally invariant quantum state. We ask to what extent each pair of nearest neighbors can be entangled. Under certain assumptions about the form of the state, we find a formula for the maximum possible nearest-neighbor entanglement. We then compare this maximum with the entanglement achieved by the ground state of an antiferromagnetic ring consisting of an even number of spin-1/2 particles. We find that, though the antiferromagnetic ground state does not maximize the nearest-neighbor entanglement relative to all other states, it does so relative to other states having zero z-component of spin.
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"abstract": "Consider a ring of N qubits in a translationally invariant quantum state. We\nask to what extent each pair of nearest neighbors can be entangled. Under\ncertain assumptions about the form of the state, we find a formula for the\nmaximum possible nearest-neighbor entanglement. We then compare this maximum\nwith the entanglement achieved by the ground state of an antiferromagnetic ring\nconsisting of an even number of spin-1/2 particles. We find that, though the\nantiferromagnetic ground state does not maximize the nearest-neighbor\nentanglement relative to all other states, it does so relative to other states\nhaving zero z-component of spin.",
"arxiv_id": "quant-ph/0009041",
"authors": [
"Kevin M. O\u0027Connor",
"William K. Wootters"
],
"categories": [
"quant-ph",
"cond-mat"
],
"doi": "10.1103/PhysRevA.63.052302",
"journal_ref": "Phys. Rev. A 63 (2001) 052302",
"title": "Entangled Rings",
"url": "https://arxiv.org/abs/quant-ph/0009041"
},
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