Optimal entanglement formulas for entanglement-assisted quantum coding
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.
- Publication:
-
Physical Review A
- Pub Date:
- June 2008
- DOI:
- 10.1103/PhysRevA.77.064302
- arXiv:
- arXiv:0804.1404
- Bibcode:
- 2008PhRvA..77f4302W
- Keywords:
-
- 03.67.Hk;
- 03.67.Mn;
- 03.67.Pp;
- Quantum communication;
- Entanglement production characterization and manipulation;
- Quantum error correction and other methods for protection against decoherence;
- Quantum Physics
- E-Print:
- 4 pages, Changed "Formulae to Formulas" in title, published in Physical Review A