Entanglement detection from interference fringes in atom-photon systems

Abstract

A measurement scheme of atomic qubits pinned at given positions is studied by analyzing the interference pattern obtained when they emit photons spontaneously. In the case of two qubits, a well-known relation is revisited, in which the interference visibility is equal to the concurrence of the state in the infinite spatial separation limit of the qubits. By taking into account the super-radiant and sub-radiant effects, it is shown that a state tomography is possible when the qubit spatial separation is comparable to the wavelength of the atomic transition. In the case of three qubits, the relations between various entanglement measures and the interference visibility are studied, where the visibility is defined from the two-qubit case. A qualitative correspondence among these entanglement relations is discussed. In particular, it is shown that the interference visibility is directly related to the maximal bipartite negativity.

12 pages, 2 figures, published version

References in corpus (5)

• Quantum entanglement
• Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
• Monogamy Inequality in terms of Negativity for Three-Qubit States
• Analytic Expressions for Geometric Measure of Three Qubit States
• Entanglement Witnesses from Single-Particle Interference

Cited by in corpus (4)

• Phase control of entanglement and quantum steering in a three-mode optomechanical system
• Interference of single photons emitted by entangled atoms in free space
• Evidence of indistinguishability and entanglement determined by the energy-time uncertainty principle in a system of two strongly coupled bosonic modes
• Electron interference and entanglement in coupled 1D systems with noise