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Entanglement and collective quantum operations

Chefles, A. and Gilson, C.R. and Barnett, S.M. (2000) Entanglement and collective quantum operations. Physics Letters A, 273 (1). pp. 10-14. ISSN 0375-9601

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We show how shared entanglement, together with classical communication and local quantum operations, can be used to perform an arbitrary collective quantum operation upon N spatially-separated qubits. A simple teleportation-based protocol for achieving this, which requires 2(N-1) ebits of shared, bipartite entanglement and 4(N-1) classical bits, is proposed. In terms of the total required entanglement, this protocol is shown to be optimal for even N in both the asymptotic limit and for 'one-shot' applications.