Optimal Entanglement Formulas for Entanglement-Assisted Quantum Coding
arXiv:0804.1404 · doi:10.1103/PhysRevA.77.064302
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.
4 pages, Changed "Formulae to Formulas" in title, published in Physical Review A