Entanglement Echoes in Quantum Computation
Davide Rossini, Giuliano Benenti, Giulio Casati
Abstract
We study the stability of entanglement in a quantum computer implementing an efficient quantum algorithm, which simulates a quantum chaotic dynamics. For this purpose, we perform a forward-backward evolution of an initial state in which two qubits are in a maximally entangled Bell state. If the dynamics is reversed after an evolution time tr, there is an echo of the entanglement between these two qubits at time te=2tr. Perturbations attenuate the pairwise entanglement echo and generate entanglement between these two qubits and the other qubits of the quantum computer.
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