Abstract
AbstractThe article introduces efficient quantum state tomography schemes for qutrits and entangled qubits subject to pure decoherence. We implement the dynamic state reconstruction method for open systems sent through phase-damping channels, which was proposed in: Czerwinski and Jamiolkowski Open Syst. Inf. Dyn.23, 1650019 (2016). In the present article we prove that two distinct observables measured at four different time instants suffice to reconstruct the initial density matrix of a qutrit with evolution given by a phase-damping channel. Furthermore, we generalize the approach in order to determine criteria for quantum tomography of entangled qubits. Finally, we prove two universal theorems concerning the number of observables required for quantum state tomography of qudits subject to pure decoherence. We believe that dynamic state reconstruction schemes bring advancement and novelty to quantum tomography since they utilize the Heisenberg representation and allow to define the measurements in time domain.
Funder
Fundacja na rzecz Nauki Polskiej
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),General Mathematics
Reference34 articles.
1. James, D.F.V., Kwiat, P.G., Munro, W.J., White, A.G.: Measurement of qubits. Phys. Rev. A 64, 052312 (2001)
2. D’Ariano, G.M., Paris, M.G.A., Sacchi, M.F.: Quantum tomography. Advances in Imaging and Electron Physics 128, 205–309 (2003)
3. Paris, M.G.A., Řeháček, J. (eds.): Quantum State Estimation (Lecture Notes in Physics). Springer, Berlin (2004)
4. Wasilewski, W., Kolenderski, P., Frankowski, R.: Spectral density matrix of a single photon measured. Phys. Rev. Lett. 99, 123601 (2007)
5. Kolenderski, P., Wasilewski, W.: Derivation of the density matrix of a single photon produced in parametric down-conversion. Phys. Rev. A 80, 015801 (2009)
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献