期刊
PHYSICAL REVIEW A
卷 86, 期 6, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.86.062303
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资金
- ARO [W911NF-09-1-0385]
- NSF [PHY-0855701]
- EC-project IP Q-Essence
- ERC Advanced Grant IRQUAT
- MC Grant Quacocos
- Direct For Mathematical & Physical Scien
- Division Of Physics [1203931] Funding Source: National Science Foundation
We find an algebraic formula for the N-partite concurrence of N qubits in an X matrix. X matrices are density matrices whose only nonzero elements are diagonal or antidiagonal when written in an orthonormal basis. We use our formula to study the dynamics of the N-partite entanglement of N remote qubits in generalized N-party Greenberger-Horne-Zeilinger (GHZ) states. We study the case in which each qubit interacts with a local amplitude damping channel. It is shown that only one type of GHZ state loses its entanglement in finite time; for the rest, N-partite entanglement dies out asymptotically. Algebraic formulas for the entanglement dynamics are given in both cases. We directly confirm that the half-life of the entanglement is proportional to the inverse of N. When entanglement vanishes in finite time, the time at which entanglement vanishes can decrease or increase with N depending on the initial state. In the macroscopic limit, this time is independent of the initial entanglement. DOI: 10.1103/PhysRevA.86.062303
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