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Sending classical information via noisy quantum channels
This paper extends previous results about the classical information capacity of a noiseless quantum-mechanical communication channel to situations in which the final signal states are mixed states,…
Information transmission through a noisy quantum channel
It is shown that different applications may result in different channel capacities, and upper bounds on several of these capacities are proved based on the coherent information, which plays a role in quantum information theory analogous to that played by the mutual information in classical information theory.
Reversible quantum cellular automata
The main structure theorem asserts that any quantum cellular automaton is structurally reversible, i.e., that it can be obtained by applying two blockwise unitary operations in a generalized Margolus partitioning scheme.
A new proof of the quantum noiseless coding theorem
An account of the quantum noiseless coding theorem, including a new proof based on a simplified block coding scheme, and an illustrative example of quantum coding.
Relative entropy in quantum information theory
The properties of the quantum relative entropy function are reviewed and its application to problems of classical and quantum information transfer and to quantum data compression is discussed.
Quantum Privacy and Quantum Coherence
We derive a simple relation between a quantum channel's capacity to convey coherent (quantum) information and its usefulness for quantum cryptography.
Optimal signal ensembles
Some properties characterizing the ensemble that maximizes the capacity of the channel are described, using the relative entropy "distance" between density operators to give the results a geometric flavor.
Approximate Quantum Error Correction
It is shown that, if the loss of coherent information is small, then approximate quantum error correction is possible, and it is proposed that this method can be used to correct quantum channel errors.
Indeterminate-length quantum coding
Indeterminate-length quantum codes, in which code words may exist in superpositions of different lengths, provide an alternate approach to quantum data compression and are explored in this paper.
Quantum Processes Systems, and Information
A new and exciting approach to the basics of quantum theory, this undergraduate textbook contains extensive discussions of conceptual puzzles and over 800 exercises and problems. Beginning with three…