1 v 1 3 0 A pr 2 00 4 Is Quantum Search Practical ?
نویسنده
چکیده
Quantum algorithms and circuits can, in principle, outperform the best non-quantum (classical) techniques for some hard computational problems. However, this does not necessarily lead to useful applications. To gauge the practical significance of a quantum algorithm, one must weigh it against the best conventional techniques applied to useful instances of the same problem. Grover’s quantum search algorithm is one of the most widely studied. We identify requirements for Grover’s algorithm to be useful in practice: (1) a search application S where classical methods do not provide sufficient scalability; (2) an instantiation of Grover’s algorithm Q(S) for S that has a smaller asymptotic worst-case runtime than any classical algorithm C(S) for S; (3) Q(S) with smaller actual runtime for practical instances of S than that of any C(S). We show that several commonly-suggested applications fail to satisfy these requirements, and outline directions for future work on quantum search.
منابع مشابه
ar X iv : q ua nt - p h / 03 05 10 0 v 3 1 1 A pr 2 00 4 Polynomial Time Quantum Computation with Advice
Advice is supplementary information that enhances the computational power of an underlying computation. This paper focuses on advice that is given in the form of a pure quantum state and examines the influence of such advice on the behaviors of an underlying polynomial-time quantum computation with bounded-error probability.
متن کاملar X iv : 0 80 4 . 31 43 v 1 [ m at h . A G ] 1 9 A pr 2 00 8 RUAN ’ S CONJECTURE ON SINGULAR SYMPLECTIC FLOPS
We prove that the orbifold quantum ring is preserved under singular symplectic flops. Hence we verify Ruan’s conjecture for this case.
متن کامل0 20 40 71 v 1 2 2 A pr 2 00 2 Asymptotic states in brane cosmology with a nonlocal anisotropic stress
We investigate the dynamics of a Bianchi I brane Universe in the presence of a nonlocal anisotropic stress Pµν proportional to a " dark energy " U. Using this ansatz for the case U > 0 we prove that if a matter on a brane satisfies the equation of state p = (γ − 1)ρ with γ ≤ 4/3 then all such models isotropize. For γ > 4/3 anisotropic future asymptotic states are found. We also describe the pas...
متن کاملar X iv : q ua nt - p h / 06 04 06 4 v 1 1 0 A pr 2 00 6 RELATIONAL EPR
We argue that EPR-type correlations do not entail any form of “non-locality”, when viewed in the context of a relational interpretation of quantum mechanics. The abandonment of strict Einstein realism advocated by this interpretation permits to reconcile quantum mechanics, completeness, (operationally defined) separability, and locality.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004