Superposition of macroscopically distinct states means large multipartite entanglement

Abstract

We show relations between superposition of macroscopically distinct states and entanglement. These relations lead to the important conclusion that if a state contains superposition of macroscopically distinct states, the state also contains large multipartite entanglement in terms of several measures. Such multipartite entanglement property also suggests that if a state contains superposition of macroscopically distinct states, a measurement on a single particle drastically changes the state of macroscopically many other particles, as in the case of the N-qubit GHZ state.

6 pages, PRA Rapid, accepted

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• Quantum macroscopicity measure for arbitrary spin systems and its application to quantum phase transitions
• Fast generation of Cat states in Kerr nonlinear resonators via optimal adiabatic control
• Conversion of Thermal Equilibrium States into Superpositions of Macroscopically Distinct States
• Dynamical studies of macroscopic superposition states: Phase engineering of controlled entangled number states of Bose-Einstein condensate in multiple wells
• Entanglement-fidelity relations for inaccurate ancilla-driven quantum computation
• Macroscopic Schrödinger Cat Resistant to Particle Loss and Local Decoherence
• Vacuum entanglement governs the bosonic character of magnons
• Equilibration and the eigenstate thermalization hypothesis as limits to observing macroscopic quantum superpositions