Phys. Rev. A 77, 064302 (2008) [4 pages]Optimal entanglement formulas for entanglement-assisted quantum codingReceived 9 April 2008; published 19 June 2008 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 URL:
http://link.aps.org/doi/10.1103/PhysRevA.77.064302
DOI:
10.1103/PhysRevA.77.064302
PACS:
03.67.Hk, 03.67.Mn, 03.67.Pp
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