We review an important stability approach to quantization by Rusov and Vlasenko and indicate possible comparison of fluctuations to standard situations involving a quantum potential.

We show how Ricci flow is related to quantum theory via Fisher information and the quantum potential.

We investigate evolutionary stability of the strategy of defection in the quantum Prisoner’s Dilemma (PD) game played in a quantization scheme that constructs two-player quantum games from a property of quantummechanical joint probabilities known as non-factorizability. In this scheme the classical PD game corresponds to factorizable joint probabilities and players’ strategies in the quantum ga...

Bell’s theorem is a statement by which averages obtained from specific types of statistical distributions must conform to a family of inequalities. These models, in accordance with the EPR argument, provide for the simultaneous existence of quantum mechanically incompatible quantities. We first recall several contradictions arising between the assumption of a joint distribution for incompatible...

n of a fixed state ρ, the joint state converges to a displaced thermal equilibrium state of a quantum harmonic oscillator. The precise meaning of the convergence is that there exist physical transformations Tn (trace preserving quantum channels) which map the qubits states asymptotically close to their corresponding oscillator state, uniformly over all states in the local neighborhood. A few co...

Phase estimation, at the heart of many quantum metrology and communication schemes, can be strongly affected by noise, whose amplitude may not be known, or might be subject to drift. Here we investigate the joint estimation of a phase shift and the amplitude of phase diffusion at the quantum limit. For several relevant instances, this multiparameter estimation problem can be effectively reshape...

We show that by linking two factorization techniques often employed to solve Schroedinger’s equation one can give any one-dimensional hamiltonian the same form in terms of quantities typical of these approaches. These are the supersymmetric technique SUSY and the one of De La Peña’s. It is shown that the linkage between them exhibits interesting peculiarities, that are illustrated in the case o...

Submitted for the MAR13 Meeting of The American Physical Society Mechanisms for Electric Field Control of Single Spin Relaxation in Double Quantum Dots1 V. SRINIVASA, Joint Quantum Institute, University of Maryland and NIST, K.C. NOWACK, M. SHAFIEI, L.M.K. VANDERSYPEN, Kavli Institute of Nanoscience, TU Delft, J.M. TAYLOR, Joint Quantum Institute, University of Maryland and NIST—We theoreticall...

The control is the potential well absolute position. For two kinds of potential shape (periodic and box), we propose approximated solutions to the stead-state motion planing problem: steering in finite time the particle from an initial well position to a final well position, the initial and final particle energies being identical. This problem is a quantum analogue of the water tank problem, wh...