Tomography in Abstract Hilbert Spaces
2006 ◽
Vol 13
(03)
◽
pp. 239-253
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Keyword(s):
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.
1986 ◽
Vol 41
(1)
◽
pp. 47-50
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1999 ◽
Vol 42
(1)
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pp. 104-117
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2016 ◽
Vol 95
(1)
◽
pp. 54-65
2008 ◽
Vol 60
(5)
◽
pp. 1001-1009
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2009 ◽
Vol 80
(1)
◽
pp. 83-90
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2005 ◽
Vol 79
(3)
◽
pp. 391-398
1989 ◽
Vol 32
(3)
◽
pp. 320-326
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1996 ◽
Vol 37
(9)
◽
pp. 4203-4218
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