Physics – Quantum Physics
Scientific paper
2002-10-15
Phys. Rev. A 67, 022112 (2003)
Physics
Quantum Physics
Updated version reflects changes made in January 2003
Scientific paper
10.1103/PhysRevA.67.022112
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.
Doherty Andrew C.
Geremia JM
Mabuchi Hideo
Stockton John K.
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