We found that the passage of a linear gravitational wave can cause decoherence in a system of N massive spin-1/2 particles. In particular, the spin entropy of a single particle and the negativity of a pair of particles can increase. The effect, while extremely small, is nonzero. However, it can be amplified through the judicious use of entanglement swapping. Because gravity is a long-range force that cannot be shielded, relativistic quantum information theory can possibly provide us with a new method for the detection of gravitational waves.
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