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quant-ph2021★ 5 cited
Approximate Petz recovery from the geometry of density operators
Sam Cree, Jonathan Sorce
We derive a new bound on the effectiveness of the Petz map as a universal recovery channel in approximate quantum error correction using the second sandwiched Rényi relative entrop…
quant-ph2021★ 25 cited
A canonical Hamiltonian for open quantum systems
Patrick Hayden, Jonathan Sorce
If an open quantum system is initially uncorrelated from its environment, then its dynamics can be written in terms of a Lindblad-form master equation. The master equation is divid…
quant-ph2020★ 2 cited
Geometric conditions for saturating the data processing inequality
Sam Cree, Jonathan Sorce
The data processing inequality (DPI) is a scalar inequality satisfied by distinguishability measures on density matrices. For some distinguishability measures, saturation of the sc…