Details
| Original language | English |
|---|---|
| Pages (from-to) | 4353-4357 |
| Number of pages | 5 |
| Journal | J. Math. Phys. |
| Volume | 43 |
| Issue number | 9 |
| Publication status | Published - 2002 |
Abstract
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In: J. Math. Phys., Vol. 43, No. 9, 2002, p. 4353-4357.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Counterexample to an additivity conjecture for output purity of quantum channels
AU - Werner, R. F.
AU - Holevo, A. S.
PY - 2002
Y1 - 2002
N2 - A conjecture arising naturally in the investigation of additivity of classical information capacity of quantum channels states that the maximal purity of outputs from a quantum channel, as measured by the p-norm, should be multiplicative with respect to the tensor product of channels. We disprove this conjecture for p.79. The same example (with p= also disproves a conjecture for the multiplicativity of the injective norm of Hilbert space tensor products.
AB - A conjecture arising naturally in the investigation of additivity of classical information capacity of quantum channels states that the maximal purity of outputs from a quantum channel, as measured by the p-norm, should be multiplicative with respect to the tensor product of channels. We disprove this conjecture for p.79. The same example (with p= also disproves a conjecture for the multiplicativity of the injective norm of Hilbert space tensor products.
U2 - 10.1063/1.1498491
DO - 10.1063/1.1498491
M3 - Article
VL - 43
SP - 4353
EP - 4357
JO - J. Math. Phys.
JF - J. Math. Phys.
SN - 1089-7658
IS - 9
ER -