Elements of information theory
Elements of information theory
The capacity of the quantum channel with general signal states
IEEE Transactions on Information Theory
Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem
IEEE Transactions on Information Theory
The capacity of the quantum depolarizing channel
IEEE Transactions on Information Theory
Time reversal and exchange symmetries of unitary gate capacities
IEEE Transactions on Information Theory
Entanglement-assisted communication of classical and quantum information
IEEE Transactions on Information Theory
Trading classical communication, quantum communication, and entanglement in quantum Shannon theory
IEEE Transactions on Information Theory
Optimal trading of classical communication, quantum communication, and entanglement
TQC'09 Proceedings of the 4th international conference on Theory of Quantum Computation, Communication, and Cryptography
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We give the trade-off curve showing the capacity of a quantum channel as a function of the amount of entanglement used by the sender and receiver for transmitting information. The endpoints of this curve are given by the Holevo-Schumacher-Westmoreland capacity formula and the entanglement-assisted capacity, which is the maximum over all input density matrices of the quantum mutual information. The proof we give is based on the Holevo-Schumacher-Westmoreland formula, and also gives a new and simpler proof for the entanglement-assisted capacity formula.