Zobrazeno 1 - 10
of 192
pro vyhledávání: '"Margarita A. Man'ko"'
Publikováno v:
Physics, Vol 6, Iss 3, Pp 1035-1045 (2024)
We review the formalism of center-of-mass tomograms, which allows us to describe quantum states in terms of probability distribution functions. We introduce the concept of separable and entangled probability distributions for center-of-mass tomograph
Externí odkaz:
https://doaj.org/article/f59fa8a00cd94f329d64f5495625d64d
Publikováno v:
Entropy, Vol 26, Iss 6, p 485 (2024)
We derive the probability representation of even and odd cat states of two and three qubits. These states are even and odd superpositions of spin-1/2 eigenstates corresponding to two opposite directions along the z axis. The probability representatio
Externí odkaz:
https://doaj.org/article/d8696981ab104a9a9fee584281c2e1cf
Publikováno v:
Entropy, Vol 25, Iss 12, p 1628 (2023)
The Jordan–Schwinger map allows us to go from a matrix representation of any arbitrary Lie algebra to an oscillator (bosonic) representation. We show that any Lie algebra can be considered for this map by expressing the algebra generators in terms
Externí odkaz:
https://doaj.org/article/27ef24611bad47a2be86efa667314369
Publikováno v:
Entropy, Vol 25, Iss 10, p 1366 (2023)
We discuss qubit-state superpositions in the probability representation of quantum mechanics. We study probability distributions describing separable qubit states. We consider entangled states on the example of a system of two qubits (Bell states) us
Externí odkaz:
https://doaj.org/article/0f2300f0cfc541eda4e519d2fb68f64b
Publikováno v:
Entropy, Vol 25, Iss 2, p 213 (2023)
A short review constructing the probability representation of quantum mechanics is given, and examples of the probability distributions describing the states of quantum oscillator at temperature T and the evolution of quantum states of a charged part
Externí odkaz:
https://doaj.org/article/17e821380ef74aa992ea439d6deff2ac
Publikováno v:
Entropy, Vol 23, Iss 11, p 1445 (2021)
The Wigner and tomographic representations of thermal Gibbs states for one- and two-mode quantum systems described by a quadratic Hamiltonian are obtained. This is done by using the covariance matrix of the mentioned states. The area of the Wigner fu
Externí odkaz:
https://doaj.org/article/d8c88d3ab53b41fbb5d29ea7b39b0d8c
Publikováno v:
Entropy, Vol 23, Iss 5, p 636 (2021)
The tomography of a single quantum particle (i.e., a quantum wave packet) in an accelerated frame is studied. We write the Schrödinger equation in a moving reference frame in which acceleration is uniform in space and an arbitrary function of time.
Externí odkaz:
https://doaj.org/article/03beaf03a55942ec82716fd28f11b8d9
Publikováno v:
Symmetry, Vol 13, Iss 1, p 131 (2021)
We review the method of quantizers and dequantizers to construct an invertible map of the density operators onto functions including probability distributions and discuss in detail examples of qubit and qutrit states. The biphoton states existing in
Externí odkaz:
https://doaj.org/article/cf01ae09f13e4413ac7200612ab276e6
Publikováno v:
Symmetry, Vol 12, Iss 10, p 1702 (2020)
PT-symmetric qubit-system states are considered in the probability representation of quantum mechanics. The new energy eigenvalue equation for probability distributions identified with qubit and qutrit states is presented in an explicit form. A possi
Externí odkaz:
https://doaj.org/article/826401c243394c6391f65ab73dbf70ea
Publikováno v:
Symmetry, Vol 12, Iss 7, p 1099 (2020)
In view of the probabilistic quantizer–dequantizer operators introduced, the qubit states (spin-1/2 particle states, two-level atom states) realizing the irreducible representation of the S U ( 2 ) symmetry group are identified with probability dis
Externí odkaz:
https://doaj.org/article/538210e00e0c4442bbb95651d3d0322d