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arXiv:1109.5478 · Communications in Mathematical Physics

Quantum Tomography under Prior Information

Teiko Heinosaari, Luca Mazzarella, Michael M. Wolf

Published Feb 4, 2013• 141 citations
arXivHTMLPDF
DOI
10.1007/s00220-013-1671-8

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This dissertation is concerned with quantum state tomography in scenarios where prior information constrains the set of relevant quantum states to a low dimensional subset of the state space. Frameworks to find both lower and upper bounds on the minimal number of measurement settings or outcomes needed to discriminate any two quantum states of such a subset are provided and applied to several concrete scenarios. Furthermore, measurement settings that allow a computationally tractable recovery of bounded rank quantum states are constructed.