Alladi Ramakrishnan Hall

Quantum teleportation of collaboration

Arkaprabha Ghosal

IMSc

Quantum teleportation is a task in which one sends quantum information of an unknown quantum state to a distant receiver using shared entanglement together with Local Operations and Classical Communication (LOCC). We consider a network of three spatially separated parties, say, Alice, Bob, and Charlie, where each of the pairs Alice-Bob and Bob-Charlie share a two-qubit entangled state and they can collaborate through LOCC. We study the optimal distribution of a quantum teleportation channel between Alice and Charlie for a given pair of pre-shared states. For some specific classes of pre-shared states, we find the set of LOCC strategies that deterministically prepare the best possible teleportation channels. Furthermore, in some cases, we find that if Bob performs a joint complete orthogonal measurement (COM) in partially entangled states, he can steer an efficient channel between Alice and Charlie which is better than doing COM in any maximally entangled states. We further observe that in some instances, joint POVM measurement (typically noisy measurement) is better than performing standard Bell-states measurement. This observation shows us that there are instances, where an efficient distribution of teleportation channel necessarily requires the joint measurement cost to be less than one ebit.

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