Optimal Entanglement Formulas for Entanglement-Assisted Quantum Coding

Details Optimal Entanglement Formulas for Entanglement-Assisted Quantum Coding Optimal Entanglement Formulas for Entanglement-Assisted Quantum Coding

2008-04-09

arxiv.org/abs/0804.1404v3

Physical Review A 77, 064302 (2008)

Physics

Quantum Physics

4 pages, Changed "Formulae to Formulas" in title, published in Physical Review A

Scientific paper

10.1103/PhysRevA.77.064302

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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