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Quantum Channel Capacity of Very Noisy Channels
David P. DiVincenzo, Peter W. Shor, John A. Smolin
We present a family of additive quantum error-correcting codes whose capacities exceeds that of quantum random coding (hashing) for very noisy channels. These codes provide non-zer…
Quantum Gates and Circuits
David P. DiVincenzo
A historical review is given of the emergence of the idea of the quantum logic gate from the theory of reversible Boolean gates. I highlight the quantum XOR or controlled NOT as th…
Optimal Universal and State-Dependent Quantum Cloning
D. Bruss, D. P. DiVincenzo, A. Ekert +3
We establish the best possible approximation to a perfect quantum cloning machine which produces two clones out of a single input. We analyze both universal and state-dependent clo…
Capacities of Quantum Erasure Channels
Charles H. Bennett, David P. DiVincenzo, John A. Smolin
The quantum analog of the classical erasure channel provides a simple example of a channel whose asymptotic capacity for faithful transmission of intact quantum states, with and wi…