The dynamics of a single qubit randomly colliding with an environment consisting of just two qubits is discussed. It is shown that the system reaches an equilibrium state which coincides with a pure random state of three qubits. Furthermore the time average and the ensemble averages of the quantities used to characterize the approach to equilibrium (purity and tangles) coincide, a signature of ergodic behavior.
Gennaro, G., Benenti, G., Palma, G.M. (2009). ERGODICITY IN RANDOMLY COLLIDING QUBITS. INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 7(suppl. 1), 163-169 [10.1142/S0219749909004827].
ERGODICITY IN RANDOMLY COLLIDING QUBITS
Gennaro, Giuseppe;PALMA, Gioacchino Massimo
2009-01-01
Abstract
The dynamics of a single qubit randomly colliding with an environment consisting of just two qubits is discussed. It is shown that the system reaches an equilibrium state which coincides with a pure random state of three qubits. Furthermore the time average and the ensemble averages of the quantities used to characterize the approach to equilibrium (purity and tangles) coincide, a signature of ergodic behavior.File in questo prodotto:
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