Completely positive classical structures and sequentializable quantum protocols

Abstract

We study classical structures in various categories of completely positive morphisms: on sets and relations, on cobordisms, on a free dagger compact category, and on Hilbert spaces. As an application, we prove that quantum maps with commuting Kraus operators can be sequentialized. Hence such protocols are precisely as robust under general dephasing noise when entangled as when sequential.

In Proceedings QPL 2011, arXiv:1210.0298

References in corpus (4)

• Entanglement-free Heisenberg-limited phase estimation
• Generalized Limits for Single-Parameter Quantum Estimation
• A generalized no-broadcasting theorem
• On Decoherence in Quantum Clock Synchronization