Quantum computation and quantum information
Quantum computation and quantum information
Min- and max-relative entropies and a new entanglement monotone
IEEE Transactions on Information Theory
A fully quantum asymptotic equipartition property
IEEE Transactions on Information Theory
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
Strong converse and Stein's lemma in quantum hypothesis testing
IEEE Transactions on Information Theory
General formulas for capacity of classical-quantum channels
IEEE Transactions on Information Theory
The private classical capacity and quantum capacity of a quantum channel
IEEE Transactions on Information Theory
An Information-Spectrum Approach to Classical and Quantum Hypothesis Testing for Simple Hypotheses
IEEE Transactions on Information Theory
Capacity with energy constraint in coherent state channel
IEEE Transactions on Information Theory
Duality between smooth min- and max-entropies
IEEE Transactions on Information Theory
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We study optimal rates for quantum communication over a single use of a channel, which itself can correspond to a finite number of uses of a channel with arbitrarily correlated noise. The corresponding capacity is often referred to as the one-shot quantum capacity. In this paper, we prove bounds on the one-shot quantum capacity of an arbitrary channel. This allows us to compute the quantum capacity of a channel with arbitrarily correlated noise, in the limit of asymptotically many uses of the channel. In the memoryless case, we explicitly show that our results reduce to known expressions for the quantum capacity.