Implementation of the Deutsch-Jozsa algorithm violates nonlocal realism |
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Authors: | K Nagata |
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Institution: | (1) School of Physical Science and Information Engineering, Liaocheng University, Liaocheng, 252059, China; |
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Abstract: | The theoretical resource state for the implementation of the Deutsch-Jozsa algorithm is a multiqubit pure uncorrelated state.
We show that N-qubit pure uncorrelated quantum states cannot admit rotationally invariant nonlocal realistic theories with
a violation factor of 3N. We find
the violation factor 3Nwhen the measurement setup is entire range of settings for each of the observers, that is, considering rotationally invariant
nonlocal realistic theories along with the property of a correlation function in the quantum theory. The implementation of
the Deutsch-Jozsa algorithm theoretically relying on N-qubit pure uncorrelated states rules out rotationally invariant nonlocal
realism with a violation factor of 3Nin an ideal case. Our analysis relies on the property of theoretical resource states for the algorithm. We cannot simulate
the Deutsch-Jozsa algorithm by using rotationally invariant nonlocal realistic theories due to the property of theoretical
resource states for the algorithm. |
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Keywords: | |
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