Calculating means of quantum observables in the optical tomography representation. (English. Russian original) Zbl 1282.81087
Theor. Math. Phys. 171, No. 3, 832-838 (2012); translation from Teor. Mat. Fiz. 171, No. 3, 475-482 (2012).
Summary: We introduce a dual map from the special class \(\mathcal A\) of quantum observables \(\hat a\) to a special class of generalized functions \(a(X,\phi)\). The class \(\mathcal A\) includes all symmetrized polynomials in the canonical variables \(\hat q\) and \(\hat p\).
MSC:
| 81Q10 | Selfadjoint operator theory in quantum theory, including spectral analysis |
| 81P50 | Quantum state estimation, approximate cloning |
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