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6 papers · 2 filters
How often is a random quantum state k-entangled?
Stanislaw J. Szarek, Elisabeth Werner, Karol Zyczkowski
The set of trace preserving, positive maps acting on density matrices of size d forms a convex body. We investigate its nested subsets consisting of k-positive maps, where k=2,...,…
Zitterbewegung of relativistic electrons in a magnetic field and its simulation by trapped ions
Tomasz M. Rusin, Wlodek Zawadzki
One-electron 3+1 and 2+1 Dirac equations are used to calculate the motion of a relativistic electron in a vacuum in the presence of an external magnetic field. First, calculations…
Stationary states of two-level open quantum systems
Bartlomiej Gardas, Zbigniew Puchala
A problem of finding stationary states of open quantum systems is addressed. We focus our attention on a generic type of open system: a qubit coupled to its environment. We apply t…
Exact reduced dynamics for a qubit in a precessing magnetic field and in the contact with a heat-bath
Bartlomiej Gardas
The two-level quantum system (qubit) in a precessing magnetic field and in contact with a heat bath is investigated. The exact reduced dynamics for the qubit in question is obtaine…
Universality of spectra for interacting quantum chaotic systems
Wojciech Bruzda, Marek Smaczynski, Valerio Cappellini +2
We analyze a model quantum dynamical system subjected to periodic interaction with an environment, which can describe quantum measurements. Under the condition of strong classical…
Riccati equation and the problem of decoherence
Bartłomiej Gardas
The block operator matrix theory is used to investigate the problem of a single qubit. We will establish a connection between the Riccati operator equation and the possibility of o…