Entanglement-assisted capacities of constrained quantum channels
Teoriâ veroâtnostej i ee primeneniâ, Tome 48 (2003) no. 2, pp. 359-374

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In this paper we fill a gap in previous works by proving the conjectured formula for the classical entanglement-assisted capacity of a quantum channel with additive constraint (such as the Bosonic Gaussian channel). Our main tools are the coding theorem for classical-quantum constrained channels and a finite-dimensional approximation of the input density operators for entanglement-assisted capacity. We also give sufficient conditions under which suprema in the capacity formulas are achieved.
Keywords: quantum communication channel, classical capacity, entangled state.
@article{TVP_2003_48_2_a7,
     author = {A. S. Holevo},
     title = {Entanglement-assisted capacities of constrained quantum channels},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {359--374},
     publisher = {mathdoc},
     volume = {48},
     number = {2},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2003_48_2_a7/}
}
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A. S. Holevo. Entanglement-assisted capacities of constrained quantum channels. Teoriâ veroâtnostej i ee primeneniâ, Tome 48 (2003) no. 2, pp. 359-374. http://geodesic.mathdoc.fr/item/TVP_2003_48_2_a7/