dorsal/arxiv
View SchemaLorentz Invariance of Entanglement
| Authors | Paul M. Alsing, Gerard J. Milburn |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0203051 |
| URL | https://arxiv.org/abs/quant-ph/0203051 |
Abstract
We study the transformation of maximally entangled states under the action of Lorentz transformations in a fully relativistic setting. By explicit calculation of the Wigner rotation, we describe the relativistic analog of the Bell states as viewed from two inertial frames moving with constant velocity with respect to each other. Though the finite dimensional matrices describing the Lorentz transformations are non-unitary, each single particle state of the entangled pair undergoes an effective, momentum dependent, local unitary rotation, thereby preserving the entanglement fidelity of the bipartite state. The details of how these unitary transformations are manifested are explicitly worked out for the Bell states comprised of massive spin 1/2 particles and massless photon polarizations. The relevance of this work to non-inertial frames is briefly discussed.
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"abstract": "We study the transformation of maximally entangled states under the action of\nLorentz transformations in a fully relativistic setting. By explicit\ncalculation of the Wigner rotation, we describe the relativistic analog of the\nBell states as viewed from two inertial frames moving with constant velocity\nwith respect to each other. Though the finite dimensional matrices describing\nthe Lorentz transformations are non-unitary, each single particle state of the\nentangled pair undergoes an effective, momentum dependent, local unitary\nrotation, thereby preserving the entanglement fidelity of the bipartite state.\nThe details of how these unitary transformations are manifested are explicitly\nworked out for the Bell states comprised of massive spin 1/2 particles and\nmassless photon polarizations. The relevance of this work to non-inertial\nframes is briefly discussed.",
"arxiv_id": "quant-ph/0203051",
"authors": [
"Paul M. Alsing",
"Gerard J. Milburn"
],
"categories": [
"quant-ph"
],
"title": "Lorentz Invariance of Entanglement",
"url": "https://arxiv.org/abs/quant-ph/0203051"
},
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