Limit States Design—A Probabilistic Study

1 Existence of Limit Constants in Probabilistic

Probabilistic coding of quantum states

We discuss properties of probabilistic coding of two qubits to one qutrit and generalize the scheme to higher dimensions. We show that the protocol preservers entanglement between qubits to be encoded and environment and can be also applied to mixed states. We present the protocol which enables encoding of n qudits to one qudit of dimension smaller than the Hilbert space of the original system ...

Probabilistic Interpretation of Resonant States

Abstract. We provide probabilistic interpretation of resonant states. This we do by showing that the integral of the modulus square of resonance wave functions (i.e., the conventional norm) over a properly expanding spatial domain is independent of time, and therefore leads to probability conservation. This is in contrast with the conventional employment of a bi-orthogonal basis that precludes ...

Classical limit states of the helium atom

The techniques of Rydberg electronic wave packets are used to explore the classical limit states of helium. A class of shape-preserving orbits is studied under the classical adiabatic approximation that separates the dynamics of the two electrons. These states form the classical basis for two-electron wave packet states whose hydrogenic counterparts are shown to be elliptic states in the presen...

Quantum speed limit for arbitrary initial states

The minimal time a system needs to evolve from an initial state to its one orthogonal state is defined as the quantum speed limit time, which can be used to characterize the maximal speed of evolution of a quantum system. This is a fundamental question of quantum physics. We investigate the generic bound on the minimal evolution time of the open dynamical quantum system. This quantum speed limi...