Howard Barnum, J. Smolin, and Barbara Terhal, "Results on quantum channel capacity," LANL e-print quant-ph/9711032, 1997, to appear in Phys. Rev. A. Home/Search Document Not in Database Summary Related Articles Check |
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Quantum Information Theory - Barnum, III (1998) Self-citation (Barnum) (Correct)
....g j f N im g : 7.46) Defining the desired set fDm g by: Dm f D j jmig ; 7.47) one again gets the desired equality of the overall operation, via D N f D j N im g j f D j jmiN im g j fD jm N im g X m DmNm : 7.48) 148 7.3. 3 Examples Bennett et al. 50] cf. also [58]) derive capacities for three simple channels which may be viewed as taking the form (7.31) The quantum erasure channel takes the input state to a fixed state orthogonal to the input state with probability ffl; otherwise, it transmits the state undisturbed. An equivalent observed channel would ....
.... schemes) as if they have a good subspace for information transmission, of dimension equal to the channel capacity [19] If the asymptotic maximal coherent information turns out to be the capacity, and we have a strong converse (the weak converse will then be given by the upper bounds in [19] [58], 68] then we can also say that the channel behaves, from the point of view of asymptotic large block fidelity, just like truncation to a subspace of dimension given by the coherent information. We might wish to invoke the reliability function , which involves logarithms of the fidelity so ....
Howard Barnum, J. Smolin, and Barbara Terhal, "Results on quantum channel capacity," LANL e-print quant-ph/9711032, 1997, to appear in Phys. Rev. A.
On Quantum Fidelities and Channel Capacities - Barnum, Knill, Nielsen (2000) (5 citations) Self-citation (Barnum) (Correct)
....to the sourcechannel coding separation theorem of classical information theory, allows us to simplify a known upper bound on the quantum channel capacity, by removing from the expression a maximization over encodings, con rming an earlier conjecture. The conjecture has also been con rmed by [21], but the result that any source that may be transmitted may be transmitted using partially isometric encodings is slightly stronger than that obtained in [21] In [22] Adami and Cerf express the view that Whether a capacity can be de ned consistently that characterizes the purely quantum ....
....by removing from the expression a maximization over encodings, con rming an earlier conjecture. The conjecture has also been con rmed by [21] but the result that any source that may be transmitted may be transmitted using partially isometric encodings is slightly stronger than that obtained in [21]. In [22] Adami and Cerf express the view that Whether a capacity can be de ned consistently that characterizes the purely quantum component of a channel is an open question. In our view, the pure state capacity de ned below and in earlier papers is just such a consistently de ned capacity, ....
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Howard Barnum, J. Smolin, and Barbara Terhal, \Results on quantum channel capacity," LANL e-print quant-ph/9711032, 1997, to appear in Phys. Rev. A.
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