ua nt - p h / 04 09 11 6 v 2 2 1 A pr 2 00 5 All Quantum Adversary Methods are Equivalent

نویسنده

  • Mario Szegedy
چکیده

The quantum adversary method is one of the most versatile lower-bound methods for quantum algorithms. We show that all known variants of this method are equal: spectral adversary [BSS03], weighted adversary [Amb03], strong weighted adversary [Zha04], and the Kolmogorov complexity adversary [LM04]. We also present a few new equivalent formulations of the method. This shows that there is essentially one quantum adversary method. From our approach, all known limitations of all versions of the quantum adversary method easily follow.

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تاریخ انتشار 2005