Completely positive classical structures and sequentializable quantum protocols
arXiv:1210.0616 · doi:10.4204/EPTCS.95.9
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 (10)
- Quantum metrology
- Entanglement-free Heisenberg-limited phase estimation
- Generalized Limits for Single-Parameter Quantum Estimation
- Interacting Quantum Observables: Categorical Algebra and Diagrammatics
- A survey of graphical languages for monoidal categories
- A generalized no-broadcasting theorem
- Quantum Circuits with Unbounded Fan-out
- On the communication complexity of establishing a shared reference frame
- Entangled and sequential quantum protocols with dephasing
- On Decoherence in Quantum Clock Synchronization