Elements of information theory
Elements of information theory
Quantum computation and quantum information
Quantum computation and quantum information
Optimal quantum source coding with quantum side information at the encoder and decoder
IEEE Transactions on Information Theory
Trading classical communication, quantum communication, and entanglement in quantum Shannon theory
IEEE Transactions on Information Theory
The classical capacity achievable by a quantum channel assisted by a limited entanglement
Quantum Information & Computation
The capacity of the quantum channel with general signal states
IEEE Transactions on Information Theory
Coding theorem and strong converse for quantum channels
IEEE Transactions on Information Theory
On quantum fidelities and channel capacities
IEEE Transactions on Information Theory
Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem
IEEE Transactions on Information Theory
The private classical capacity and quantum capacity of a quantum channel
IEEE Transactions on Information Theory
Entanglement-Assisted Capacity of Quantum Multiple-Access Channels
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
A Resource Framework for Quantum Shannon Theory
IEEE Transactions on Information Theory
The quantum dynamic capacity formula of a quantum channel
Quantum Information Processing
Trading classical communication, quantum communication, and entanglement in quantum Shannon theory
IEEE Transactions on Information Theory
The quantum dynamic capacity formula of a quantum channel
Quantum Information Processing
Public and private resource trade-offs for a quantum channel
Quantum Information Processing
Sequential, successive, and simultaneous decoders for entanglement-assisted classical communication
Quantum Information Processing
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In this paper, we consider the problem of transmitting classical and quantum information reliably over an entanglement-assisted quantum (EAQ) channel. Our main result is a capacity theorem that gives a 3-D achievable rate region. Points in the region are rate triples, consisting of the classical communication rate, the quantum communication rate, and the entanglement consumption rate of a particular coding scheme. The crucial protocol in achieving the boundary points of the capacity region is a protocol that we name the classically enhanced father (CEF) protocol. The CEF protocol is more general than other protocols in the family tree of quantum Shannon theoretic pmtocols, in the sense that several previously known quantum protocols are now child protocols of it. The CEF protocol also shows an improvement over a timesharing strategy for the case of a qlubit dephasing channel--this result justifies the need for simultaneous coding of classical and quantum information over an EAQ channel. Our capacity theorem is of a multiletter nature (requiring a limit over many uses of the channel), but it reduces to a single-letter characterization for at least three channels: the completely depolarizing channel, the quantum erasure channel, and the qubit dephasing channel.