Computing Stabilized Norms for Quantum Operations
Abstract:
The diamond and completely bounded norms for linear maps play an increasingly important role in quantum information science, providing fundamental stabilized distance measures for differences of quantum operations. Based on the theory of completely bounded maps, we formulate an algorithm to compute the norm of an arbitrary linear map. We present an implementation of the algorithm via MATLAB, discuss its efficiency, and consider the case of differences of unitary maps.
Authors:
- Nathaniel Johnston
- David Kribs
- Vern Paulsen
Download:
- arXiv:0711.3636v1 [quant-ph]
- Local Preprint [pdf]
- From Rinton Press [pdf]
Status:
- Published in Quantum Information & Computation in January 2009
Cite as:
- N. Johnston, D. W. Kribs, and V. Paulsen, Computing stabilized norms for quantum operations. Quantum Information & Computation 9 1 & 2, 16-35 (2009).
Presentation Dates and Locations:
- Quantum Information & Geometric Statistics Seminar (QuIGS) – University of Guelph. August 2007
Supplementary Material: