Found 32 Documents (Results 1–32)
Integral transforms between tomogram and quasi-probability functions based on quantizer-dequantizer operators formalism. (English) Zbl 1454.81033
Observables, interference phenomenon and Born’s rule in the probability representation of quantum mechanics. (English) Zbl 1441.81002
Conditions for quantum and classical tomogram-like functions to describe system states and to retain normalizations during time evolution. (English) Zbl 1433.81014
Interference of quantum states and superposition principle in probability representation of quantum mechanics. (English) Zbl 1436.81023
Unnormalized tomograms and quasidistributions of quantum states. (English. Russian original) Zbl 1411.81054
Theor. Math. Phys. 197, No. 2, 1677-1689 (2018); translation from Teor. Mat. Fiz. 197, No. 2, 328-342 (2018).
Observables, evolution equation, and stationary states equation in the joint probability representation of quantum mechanics. (English) Zbl 1390.81033
Evolution equation for a joint tomographic probability distribution of spin-1 particles. (English) Zbl 1358.81070
System with classical and quantum subsystems in tomographic probability representation. (English) Zbl 1271.81046
D’Ariano, Mauro (ed.) et al., Foundations of probability and physics – 6. Proceedings of the international conference, Växjö, Sweden, June 14–16, 2011. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-1004-6/pbk). AIP Conference Proceedings 1424, 33-39 (2012).
Classical and quantum free motions in the tomographic probability representation. (English) Zbl 1253.81041
Tomographic representation of kinetic equations in classical statistical mechanics. (English. Russian original) Zbl 1221.82016
Mosc. Univ. Phys. Bull. 65, No. 5, 359-365 (2010); translation from Vest. Mosk. Univ., Ser. III 2010, No. 5, 26-31 (2010).
Fidelity for qubits and photon states in tomographic probability representation. (English) Zbl 1183.81033
Quantum Fourier transform and tomographic Rényi entropic inequalities. (English. Russian original) Zbl 1176.81022
Theor. Math. Phys. 160, No. 1, 995-1005 (2009); translation from Teor. Mat. Fiz. 160, No. 1, 143-156 (2009).
New inequalities for tomograms in the probability representation of quantum states. (English. Russian original) Zbl 1134.81330
Theor. Math. Phys. 152, No. 2, 1081-1086 (2007); translation from Teor. Mat. Fiz. 152, No. 2, 241-247 (2007).
MSC:
81P68
Tomography of spin states, the entanglement criterion, and Bell’s inequalities. (English) Zbl 1177.81017
Theor. Math. Phys. 146, No. 1, 140-151 (2006); translation from Teor. Mat. Fiz. 146, No. 1, 172-185 (2006).
MSC:
81P15
Center-of-mass tomography and probability representation of quantum states for tunneling. (English) Zbl 1178.81143
Theor. Math. Phys. 142, No. 2, 311-323 (2005); translation from Teor. Mat. Fiz. 142, No. 2, 371-387 (2005).
MSC:
81S25
Bell’s inequality for two-particle mixed spin states. (English) Zbl 1178.81008
Theor. Math. Phys. 140, No. 2, 1135-1145 (2004); translation from Teor. Mat. Fiz. 140, No. 2, 284-296 (2004).
Center of mass tomography for reconstructing quantum states of multipartite systems. (English) Zbl 1134.81435
Tomograms and other transforms: A unified view. (English) Zbl 0999.44002
Reviewer: J.M.C.Joshi (Uttaranchal)
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