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arXiv · 0804.1404

Optimal Entanglement Formulas for Entanglement-Assisted Quantum Coding

Mark M. Wilde·Todd A. Brun
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Abstract

We provide several formulas that determine the optimal number of entangled bits (ebits) that a general entanglement-assisted quantum code requires. Our first theorem gives a formula that applies to an arbitrary entanglement-assisted block code. Corollaries of this theorem give formulas that apply to a code imported from two classical binary block codes, to a code imported from a classical quaternary block code, and to a continuous-variable entanglement-assisted quantum block code. Finally, we conjecture two formulas that apply to entanglement-assisted quantum convolutional codes.

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Mark M. Wilde, Todd A. Brun. 2009-02-10. Optimal Entanglement Formulas for Entanglement-Assisted Quantum Coding. https://doi.org/10.1103/physreva.77.064302

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