Optimal superdense coding of entangled states

Details Optimal superdense coding of entangled states Optimal superdense coding of entangled states

2004-07-08

arxiv.org/abs/quant-ph/0407061v2

IEEE Trans. Inform. Theory, vol. 52, no. 8, pp. 3635-3641, 2006

Physics

Quantum Physics

Final Version. Several technical issues clarified

Scientific paper

10.1109/TIT.2006.878174

We present a one-shot method for preparing pure entangled states between a sender and a receiver at a minimal cost of entanglement and quantum communication. In the case of preparing unentangled states, an earlier paper showed that a 2n-qubit quantum state could be communicated to a receiver by physically transmitting only n+o(n) qubits in addition to consuming n ebits of entanglement and some shared randomness. When the states to be prepared are entangled, we find that there is a reduction in the number of qubits that need to be transmitted, interpolating between no communication at all for maximally entangled states and the earlier two-for-one result of the unentangled case, all without the use of any shared randomness. We also present two applications of our result: a direct proof of the achievability of the optimal superdense coding protocol for entangled states produced by a memoryless source, and a demonstration that the quantum identification capacity of an ebit is two qubits.

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