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Robustness of raw quantum tomography |
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| Authors: | M. AsoreyP. Facchi G. Florio V.I. Man'ko G. Marmo S. Pascazio E.C.G. Sudarshan |
| Affiliation: | a Departamento de Física Teórica, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain b Dipartimento di Matematica, Università di Bari, I-70125 Bari, Italy c INFN, Sezione di Bari, I-70126 Bari, Italy d MECENAS, Università Federico II di Napoli & Università di Bari, Italy e Dipartimento di Fisica, Università di Bari, I-70126 Bari, Italy f P.N. Lebedev Physical Institute, Leninskii Prospect 53, Moscow 119991, Russia g Dipartimento di Scienze Fisiche, Università di Napoli “Federico II”, I-80126 Napoli, Italy h INFN, Sezione di Napoli, I-80126 Napoli, Italy i Department of Physics, University of Texas, Austin, TX 78712, USA |
| Abstract: | We scrutinize the effects of non-ideal data acquisition on the tomograms of quantum states. The presence of a weight function, schematizing the effects of a finite window or equivalently noise, only affects the state reconstruction procedure by a normalization constant. The results are extended to a discrete mesh and show that quantum tomography is robust under incomplete and approximate knowledge of tomograms. |
| Keywords: | Quantum tomography Image reconstruction Integral transforms |
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