dorsal/arxiv
View SchemaCharacterizing the entanglement of symmetric many-particle spin-1/2 systems
| Authors | John K. Stockton, JM Geremia, Andrew C. Doherty, Hideo Mabuchi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210117 |
| URL | https://arxiv.org/abs/quant-ph/0210117 |
| DOI | 10.1103/PhysRevA.67.022112 |
| Journal | Phys. Rev. A 67, 022112 (2003) |
Abstract
Analyzing the properties of entanglement in many-particle spin-1/2 systems is generally difficult because the system's Hilbert space grows exponentially with the number of constituent particles, $N$. Fortunately, it is still possible to investigate many-particle entanglement when the state of the system possesses sufficient symmetry. In this paper, we present a practical method for efficiently computing various bipartite entanglement measures for states in the symmetric subspace and perform these calculations for $N\sim 10^3$. By considering all possible bipartite splits, we construct a picture of the multiscale entanglement in large symmetric systems. In particular, we characterize dynamically generated spin-squeezed states by comparing them to known reference states (e.g., GHZ and Dicke states) and new families of states with near-maximal bipartite entropy. We quantify the trade-off between the degree of entanglement and its robustness to particle loss, emphasizing that substantial entanglement need not be fragile.
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"abstract": "Analyzing the properties of entanglement in many-particle spin-1/2 systems is\ngenerally difficult because the system\u0027s Hilbert space grows exponentially with\nthe number of constituent particles, $N$. Fortunately, it is still possible to\ninvestigate many-particle entanglement when the state of the system possesses\nsufficient symmetry. In this paper, we present a practical method for\nefficiently computing various bipartite entanglement measures for states in the\nsymmetric subspace and perform these calculations for $N\\sim 10^3$. By\nconsidering all possible bipartite splits, we construct a picture of the\nmultiscale entanglement in large symmetric systems. In particular, we\ncharacterize dynamically generated spin-squeezed states by comparing them to\nknown reference states (e.g., GHZ and Dicke states) and new families of states\nwith near-maximal bipartite entropy. We quantify the trade-off between the\ndegree of entanglement and its robustness to particle loss, emphasizing that\nsubstantial entanglement need not be fragile.",
"arxiv_id": "quant-ph/0210117",
"authors": [
"John K. Stockton",
"JM Geremia",
"Andrew C. Doherty",
"Hideo Mabuchi"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.022112",
"journal_ref": "Phys. Rev. A 67, 022112 (2003)",
"title": "Characterizing the entanglement of symmetric many-particle spin-1/2 systems",
"url": "https://arxiv.org/abs/quant-ph/0210117"
},
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