On a Stroboscopic Approach to Quantum Tomography of Qudits Governed by Gaussian Semigroups
Copyright policy )On a Stroboscopic Approach to Quantum Tomography of Qudits Governed by Gaussian Semigroups
In this paper, we discuss the minimal number η of observables Q1,…, Qη, where expectation values at some time instants t1,…,tr determine the trajectory of a d-level quantum system (“qudit”) governed by the Gaussian semigroup [Formula: see text] We assume that the macroscopic information about the system in question is given by the mean values [Formula: see text] of n selfadjoint operators Q1,…, Qn at some time instants t1< t2 < … <tr, where n < d2 − 1 and r ≤ deg μ(λ, 𝕃). Here μ(λ, 𝕃) stands for the minimal polynomial of the generator [Formula: see text] of the Gaussian flow Φ(t).
- Polish Academy of Sciences Poland
- Nicolaus Copernicus University Torun Poland
- Polish Academy of Learning Poland
- Nicolaus Copernicus University Poland
- Institute of Physics Poland
Groups and semigroups of linear operators, Quantum Physics, Quantum computation, FOS: Physical sciences, Numerical methods for integral equations, integral transforms, Quantum Physics (quant-ph)
Groups and semigroups of linear operators, Quantum Physics, Quantum computation, FOS: Physical sciences, Numerical methods for integral equations, integral transforms, Quantum Physics (quant-ph)
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