Entanglement and Collective Quantum Operations
Quantum Physics
2009-11-06 v3
Abstract
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.
Cite
@article{arxiv.quant-ph/0003062,
title = {Entanglement and Collective Quantum Operations},
author = {Anthony Chefles and Claire R. Gilson and Stephen M. Barnett},
journal= {arXiv preprint arXiv:quant-ph/0003062},
year = {2009}
}