Simple scheme for implementing the Deutsch–Jozsa algorithm in a thermal cavity

Wen‐Xing Yang, Zhexuan Gong, Weibin Li, Xiaoxue Yang · Journal of Physics A Mathematical and Theoretical · 2006

We present a simple scheme to implement the Deutsch–Jozsa algorithm based on two-atom interaction in a thermal cavity. The photon-number-dependent parts in the evolution operator are cancelled with the strong resonant classical field added. As a result, our scheme is immune to the thermal field, and does not require the cavity to remain in the vacuum state throughout the procedure. Besides, large detuning between the atoms and the cavity is not necessary either, leading to potential speed up of quantum operation. Finally, we show by numerical simulation that the proposed scheme is equal to demonstrate the Deutsch–Jozsa algorithm with high fidelity.

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