Transmission of Classical Information Over a Noisy Quantum Channel

Masashi Ban

Chiara Macchiavello, G. Massimo Palma

Abstract We study the role of entanglement in the transmission of classical information over noisy quantum channels. We show that entanglement leads to an enhancement of the mutual information when the transmission channel is not memoryless.

Garry Bowen, Stefano Mancini

Satyabrata Adhikari, Indranil Chakrabarty, Pankaj Agrawal

In a realistic situation, the secret sharing of classical or quantum information will involve the transmission of this information through noisy channels. We consider a three qubit pure state. This state becomes a mixed-state when the qubits are distributed over noisy channels. We focus on a specific noisy channel, the phase-damping channel. We propose a protocol for secret sharing of classical information with this and related noisy channels. This protocol can also be thought of as cooperative superdense coding. We also discuss other noisy channels to examine the possibility of secret sharing of classical information.

Runyao Duan, Yaoyun Shi

Suppose that m senders want to transmit classical information to n receivers with zero probability of error using a noisy multipartite communication channel. The senders are allowed to exchange classical, but not quantum, messages among themselves, and the same holds for the receivers. If the channel is classical, a single use can transmit information if and only if multiple uses can. In sharp contrast, we exhibit, for each m and n with m>1 or n>1, a quantum channel of which a single use is not able to transmit information yet two uses can. This latter property requires and is enabled by quantum entanglement.

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