All Quantum Adversary Methods are Equivalent

dc.creatorSpalek, Robert
dc.creatorSzegedy, Mario
dc.date2004-09-17
dc.date2006-02-01
dc.date.accessioned2026-07-07T06:40:44Z
dc.date.available2026-07-07T06:40:44Z
dc.descriptionThe 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 equivalent: spectral adversary (Barnum, Saks, and Szegedy, 2003), weighted adversary (Ambainis, 2003), strong weighted adversary (Zhang, 2005), and the Kolmogorov complexity adversary (Laplante and Magniez, 2004). We also pa few new equivalent formulations of the method. This shows that there is essentially _one_ quantum adversary method. From our approach, all known limitations of these versions of the quantum adversary method easily follow.
dc.description18 pages, ICALP 2005, LNCS 3580, v2: polished and fixed one proof, v3: generalized the adversary bound to non-Boolean functions and published in ToC
dc.identifierhttps://arxiv.org/abs/quant-ph/0409116
dc.identifierhttp://arxiv.org/abs/quant-ph/0409116
dc.identifierTheory of Computing, 2(1):1-18, 2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101475
dc.subjectQuantum Physics
dc.titleAll Quantum Adversary Methods are Equivalent
dc.typetext

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