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. © 2008 The American Physical Society.
Publication Source (Journal or Book title)
Physical Review A - Atomic, Molecular, and Optical Physics
Wilde, M., & Brun, T. (2008). Optimal entanglement formulas for entanglement-assisted quantum coding. Physical Review A - Atomic, Molecular, and Optical Physics, 77 (6) https://doi.org/10.1103/PhysRevA.77.064302