期刊
OPEN SYSTEMS & INFORMATION DYNAMICS
卷 13, 期 3, 页码 239-253出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1007/s11080-006-9004-4
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The tomographic description of a quantum state is formulated in an abstract infinite-dimensional Hilbert space framework, the space of the Hilbert-Schmidt linear operators, with trace formula as scalar product. Resolutions of the unity, written in terms of over-complete sets of rank-one projectors and of associated Gram-Schmidt operators taking into account their non-orthogonality, are then used to reconstruct a quantum state from its tomograms. Examples of well known tomographic descriptions illustrate the exposed theory.
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