Abstract

Quantum entangled state attracts a wide range of interests for the potential application in novel communication and computation schemes. Usually, the entangled s tate |ψ_1/2〉 is described as |ψ_1/2〉=|↑〉_A|↑〉_B + |↓〉_A|↓〉_B, which means that if one finds a particle A in the up(down)-spin state, |↑〉_A (|↓〉_A), another particle B should be in the same state, |↑〉_B (|↓〉_B) Here we propose the multi-term two-particle entangled state, |ψ_m〉 = |m〉_A|m〉_B + |m−1〉_A|m−1〉_B + + |−m〉_A|−m〉_B This state is a simple extension of |ψ_1/2〉 and its physical meaning is that two particles occupy the same spin state simultaneously. Now, we focus on the tri-term two-photon entangled state (i e. m = 1)

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