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- W2952227704 abstract "A family of asymmetric cloning machines for $N$-dimensional quantum states is introduced. These machines produce two imperfect copies of a single state that emerge from two distinct Heisenberg channels. The tradeoff between the quality of these copies is shown to result from a complementarity akin to Heisenberg uncertainty principle. A no-cloning inequality is derived for isotropic cloners: if $pi_a$ and $pi_b$ are the depolarizing fractions associated with the two copies, the domain in $(sqrt{pi_a},sqrt{pi_b})$-space located inside a particular ellipse representing close-to-perfect cloning is forbidden. More generally, a no-cloning uncertainty relation is discussed, quantifying the impossibility of copying imposed by quantum mechanics. Finally, an asymmetric Pauli cloning machine is defined that makes two approximate copies of a quantum bit, while the input-to-output operation underlying each copy is a (distinct) Pauli channel. The class of symmetric Pauli cloning machines is shown to provide an upper bound on the quantum capacity of the Pauli channel of probabilities $p_x$, $p_y$ and $p_z$." @default.
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- W2952227704 date "2000-02-01" @default.
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- W2952227704 title "Asymmetric quantum cloning in any dimension" @default.
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- W2952227704 doi "https://doi.org/10.1080/09500340008244036" @default.
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