Decoherence-Free Communication over Multiaccess Quantum Channels

Abstract

In this paper we consider decoherence-free communication over multiple access and $k$-user quantum channels. First, we concentrate on a hermitian unitary noise model $U$ for a two-access bi-unitary channel and show that in this case a decoherence-free code exists if the space of Schmidt matrices of an eigensubspace of $U$ exhibits certain properties of decomposability. Then, we show that our technique is also applicable for generic random unitary two-access channels. Finally, we consider the applicability of the result to the case of a larger number of senders and general Kraus operators.

un update in a very old submission to match the published version

References in corpus (4)

• Robust photonic entanglement distribution via state-independent encoding onto decoherence-free subspace
• Product numerical range in a space with tensor product structure
• Nonlocal quantum information in bipartite quantum error correction
• Quantum channel capacities - multiparty communication

Cited by in corpus (1)

• An approach to constructing genuinely entangled subspaces of maximal dimension