The statistics of the entanglement changes generated by the Hadamard-CNOT quantum circuit

Abstract

We consider the change of entanglement of formation E produced by the Hadamard-CNOT circuit on a general (pure or mixed) state describing a system of two qubits. We study numerically the probabilities of obtaining different values of E, assuming that the initial state is randomly distributed in the space of all states according to the product measure recently introduced by Zyczkowski et al. [Phys. Rev. A 58 (1998) 883].

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