Quantum versus classical transport of energy in coupled two-level systems

Transport Coefficients of Quantum-Classical Systems

Classical versus quantum errors in quantum computation of dynamical systems.

We analyze the stability of a quantum algorithm simulating the quantum dynamics of a system with different regimes, ranging from global chaos to integrability. We compare, in these different regimes, the behavior of the fidelity of quantum motion when the system's parameters are perturbed or when there are unitary errors in the quantum gates implementing the quantum algorithm. While the first k...

Two Classical Queries versus One Quantum Query

In this note we study the power of so called query-limited computers. We compare the strength of a classical computer that is allowed to ask two NP-questions to an oracle with the strength of a quantum computer that is allowed only one such query. It is shown that any decision problem that requires two parallel (non-adaptive) sat-queries on a classical computer can be solved exactly by a quantu...

Energy states and exchange energy of coupled double quantum dot in a magnetic field

The ground state energies of two interacting electrons confined in a coupled double quantum dot (DQD) presented in a magnetic field has been calculated by solving the relative Hamiltonian using variational and exact diagonalization methods. The singlet-triplet transitions in the angular momentum and spin of the quantum dot ground state had been shown .We have studied the magnetic field versus c...

Energy states and exchange energy of coupled double quantum dot in a magnetic field

The ground state energies of two interacting electrons confined in a coupled double quantum dot (DQD) presented in a magnetic field has been calculated by solving the relative Hamiltonian using variational and exact diagonalization methods. The singlet-triplet transitions in the angular momentum and spin of the quantum dot ground state had been shown .We have studied the magnetic field versus c...