On the Tomographic Picture of Quantum Mechanics Articles uri icon

publication date

  • April 2010

start page

  • 2614

end page

  • 2617


  • 26


  • 374

International Standard Serial Number (ISSN)

  • 0375-9601

Electronic International Standard Serial Number (EISSN)

  • 1873-2429


  • We formulate necessary and sufficient conditions for a symplectic tomogram of a quantum state to determine the density state. We establish a connection between the (re)construction by means of symplectic
    tomograms with the construction by means of Naimark positive definite
    functions on the Weyl&-Heisenberg group. This connection is used to
    formulate properties which guarantee that tomographic probabilities
    describe quantum states in the probability representation of quantum