# Quantum channel capacities

@article{Smith2010QuantumCC, title={Quantum channel capacities}, author={Graeme Smith}, journal={2010 IEEE Information Theory Workshop}, year={2010}, pages={1-5} }

A quantum communication channel can be put to many uses: it can transmit classical information, private classical information, or quantum information. It can be used alone, with shared entanglement, or together with other channels. For each of these settings there is a capacity that quantifies a channel's potential for communication. In this short review, I summarize what is known about the various capacities of a quantum channel, including a discussion of the relevant additivity questions. I… Expand

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#### References

SHOWING 1-10 OF 58 REFERENCES

Quantum Communication with Zero-Capacity Channels

- Physics, Medicine
- Science
- 2008

It is shown theoretically that two quantum channels, each with a transmission capacity of zero, can have a nonzero capacity when used together, implying that the quantum capacity does not completely specify a channel's ability to transmit quantum information. Expand

The private classical capacity and quantum capacity of a quantum channel

- Physics, Computer Science
- IEEE Transactions on Information Theory
- 2005

Motivated by the work of Schumacher and Westmoreland on quantum privacy and quantum coherence, parallels between private classical information and quantum information are exploited to obtain an expression for the capacity of a quantum channel for generating pure bipartite entanglement. Expand

The Capacity of a Quantum Channel for Simultaneous Transmission of Classical and Quantum Information

- Physics, Mathematics
- 2003

An expression is derived characterizing the set of admissible rate pairs for simultaneous transmission of classical and quantum information over a given quantum channel, generalizing both the… Expand

Can nonprivate channels transmit quantum information?

- Physics, Medicine
- Physical review letters
- 2009

Strong evidence is found that there are pairs of quantum channels with little or no capacity for private communication that, when used together, can transmit far more quantum information than the sum of their individual private capacities. Expand

Gaussian quantum channels

- Physics, Mathematics
- 2005

This article provides an elementary introduction to Gaussian channels and their capacities. We review results on the classical, quantum, and entanglement assisted capacities and discuss related… Expand

A Decoupling Approach to the Quantum Capacity

- Mathematics, Physics
- Open Syst. Inf. Dyn.
- 2008

A short proof that the coherent information is an achievable rate for the transmission of quantum information through a noisy quantum channel and a modification yielding unitarily invariant ensembles of maximally entangled codes is given. Expand

Capacities of Quantum Erasure Channels

- Physics
- 1997

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 without the… Expand

Capacity of the noisy quantum channel

- Physics
- 1997

An upper limit is given to the amount of quantum information that can be transmitted reliably down a noisy, decoherent quantum channel. A class of quantum error-correcting codes is presented that… Expand

Additivity of the classical capacity of entanglement-breaking quantum channels

- Mathematics, Physics
- 2002

We show that for the tensor product of an entanglement-breaking quantum channel with an arbitrary quantum channel, both the minimum entropy of an output of the channel and the… Expand

Private capacity of quantum channels is not additive.

- Physics, Medicine
- Physical review letters
- 2009

It is concluded for the first time that the classical private capacity is nonadditive: in this construction even the quantum capacity of the tensor product of two channels can be greater than the sum of their individual classical private capacities. Expand