11 research outputs found
Adiabatic Quantum Computation and Deutsch's Algorithm
We show that by a suitable choice of a time dependent Hamiltonian, Deutsch's
algorithm can be implemented by an adiabatic quantum computer. We extend our
analysis to the Deutsch-Jozsa problem and estimate the required running time
for both global and local adiabatic evolutions.Comment: 6 Pages, Revtex. Typos corrected, references added. Published versio
Energy and Efficiency of Adiabatic Quantum Search Algorithms
We present the results of a detailed analysis of a general, unstructured
adiabatic quantum search of a data base of items. In particular we examine
the effects on the computation time of adding energy to the system. We find
that by increasing the lowest eigenvalue of the time dependent Hamiltonian {\it
temporarily} to a maximum of , it is possible to do the
calculation in constant time. This leads us to derive the general theorem which
provides the adiabatic analogue of the bound of conventional quantum
searches. The result suggests that the action associated with the oracle term
in the time dependent Hamiltonian is a direct measure of the resources required
by the adiabatic quantum search.Comment: 6 pages, Revtex, 1 figure. Theorem modified, references and comments
added, sections introduced, typos corrected. Version to appear in J. Phys.
The Thermal Beta-Function in Yang-Mills Theory
Previous calculations of the thermal beta-function in a hot Yang--Mills gas
at the one--loop level have exposed problems with the gauge dependence and with
the sign, which is opposite to what one would expect for asymptotic freedom. We
show that inclusion of higher--loop effects through a static Braaten--Pisarski
resummation is necessary to consistently obtain the leading term, but alters
the results only quantitatively. The sign, in particular, remains the same. We
also explore, by a crude parameterization, the effects a (non--perturbative)
magnetic mass may have on these results.Comment: 16pp,latex + epsf.sty, Nordita-94/36