Sudden death and long-lived entanglement of two trapped ions

2007/03/31 by Mahmoud Abdel‐Aty, Mahmoud Abdel-Aty, H. M. Moya-Cessa +1 · 40 citations
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Chemistry #Eigenvalues and eigenvectors #Field (mathematics) #Ion #Mathematics #Multipartite entanglement #Operator (biology) #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum entanglement #Quantum mechanics #Quantum optics and atomic interactions #Qubit #Separable state #Squashed entanglement #Sudden death #quant-ph

paper · pdf · doi:10.1016/j.physleta.2007.05.003

published in Physics Letters A 369(5-6), 372-376 (Elsevier BV) · 10 pages, 3 figures

openalex publication_date 2007/05/09 · arxiv created 2009/01/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The dynamical properties of quantum entanglement in two three-level trapped ions interacting with a laser field are studied in terms of the negative eigenvalues of the partial transposition of the density operator. In contrast to the usual belief that destroying the entanglement can be observed due to the environment, it is found that the Stark shift can also produce sudden death of entanglement and long-lived entanglement between the qubits that are prepared initially in separable states or mixed states.

Citations

• Trapped-ion quantum logic utilizing position-dependent ac Stark shifts
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Phonon decoherence of quantum entanglement: Robust and fragile states
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Finite-Time Disentanglement Via Spontaneous Emission
• Evolution of pairwise entanglement in a coupledn-body system
• Separability Criterion for Density Matrices
• Quantum cryptography based on Bell’s theorem
• Quantum teleportation of an arbitrary two-qubit state and its relation to multipartite entanglement
• Separability of mixed states: necessary and sufficient conditions

Cited by

• Entanglement sudden birth of two trapped ions interacting with a time-dependent laser field
• Entanglement Evolution of a Two-Qubit System beyond Rotating-Wave Approximation