Generations of N-atom GHZ state and $$2^n$$ 2 n -atom W state assisted by quantum dots in optical microcavities

Abstract

Multipartite entangled state plays a crucial role in quantum applications. We propose theoretical schemes to generate entanglements among several trapped atoms with the help of quantum dots in single-side optical microcavities. In the first scheme, a basic architecture will be built to produce arbitrary N-atom GHZ state by using only one auxiliary photon. Moreover, using a photon state with multiple modes, we can realize $$2^n$$2n-atom W state. All these schemes are insensitive to the variation of the atom---photon coupling rates and are also right for remotely trapped atoms by using the photonic transmissions, local quantum operations, and classical channel. Simulations show that our schemes are faithful and available with present physical techniques.