A new quantum lower bound method, with an application to strong direct product theorem for quantum search
نویسنده
چکیده
We present a new method for proving lower bounds on quantum query algorithms. The new method is an extension of adversary method, by analyzing the eigenspace structure of the problem. Using the new method, we prove a strong direct product theorem for quantum search. This result was previously proven by Klauck, Špalek and de Wolf (quant-ph/0402123) using polynomials method. No proof using adversary method was known before.
منابع مشابه
A New Quantum Lower Bound Method, with an Application to a Strong Direct Product Theorem for Quantum Search
We present a new method for proving lower bounds on quantum query algorithms. The new method is an extension of the adversary method, by analyzing the eigenspace structure of the problem. Using the new method, we prove a strong direct product theorem for quantum search. This result was previously proved by Klauck, Špalek, and de Wolf (FOCS’04) using the polynomials method. No proof using the ad...
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عنوان ژورنال:
- CoRR
دوره abs/quant-ph/0508200 شماره
صفحات -
تاریخ انتشار 2005