A New Class of Designs Which Protect against Quantum Jumps

Authors:
Thomas Beth;Christopher Charnes;Markus Grassl;Gernot Alber;Aldo Delgado;Michael Mussinger
Affiliations:
Institut für Algorithmen und Kognitive Systeme, Universität Karlsruhe, Am Fasanengarten 5, 76 128 Karlsruhe, Germany;Institut für Algorithmen und Kognitive Systeme, Universität Karlsruhe, Am Fasanengarten 5, 76 128 Karlsruhe, Germany and Department of Computer Science & Software Engineering, Univer ...;Institut für Algorithmen und Kognitive Systeme, Universität Karlsruhe, Am Fasanengarten 5, 76 128 Karlsruhe, Germany;Abteilung für Quantenphysik, Universität Ulm, 89069 Ulm, Germany;Abteilung für Quantenphysik, Universität Ulm, 89069 Ulm, Germany;Abteilung für Quantenphysik, Universität Ulm, 89069 Ulm, Germany
Venue:
Designs, Codes and Cryptography
Year:
2003

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Abstract

We present the theory and construction of a new class of designs, which we call SEEDs (spontaneous emission error designs), arising in the study of decay processes of certain quantum systems used in the newly emerging field of quantum computing. We show that there is a simple and surprising connection between subspaces of the system Hilbert space, stable against these quantum jumps and the incidence matrices of SEEDs.