Entanglement-enhanced classical capacity of two-qubit quantum channels with memory: the exact solution

Abstract

The maximal amount of information which is reliably transmitted over two uses of general Pauli channels with memory is proven to be achieved by maximally entangled states beyond some memory threshold. In particular, this proves a conjecture on the depolarizing channel by Macchiavello and Palma [Phys. Rev. A {\bf 65}, 050301(R) (2002)]. Below the memory threshold, for arbitrary Pauli channels, the two-use classical capacity is only achieved by a particular type of product states.

5 pages

References in corpus (7)

• Quantum Channels with Memory
• Entangled states maximize the two qubit channel capacity for some Pauli channels with memory
• Quantum entanglement enhances the capacity of bosonic channels with memory
• Bosonic Memory Channels
• Entanglement enhanced classical capacity of quantum communication channels with correlated noise in arbitrary dimensions
• Information transmission through lossy bosonic memory channels
• Capacities of Quantum Channels for Massive Bosons and Fermions

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