Hypercomputability of quantum adiabatic processes: Fact versus Prejudices Export

@article{citeulike:1559869, abstract = {We give an overview of a quantum adiabatic algorithm for Hilbert's tenth problem, including some discussions on its fundamental aspects and the emphasis on the probabilistic correctness of its findings. For the purpose of illustration, the numerical simulation results of some simple Diophantine equations are presented. We also discuss some prejudicial misunderstandings as well as some plausible difficulties faced by the algorithm in its physical implementation.}, archivePrefix = {arXiv}, author = {Kieu, T. D.}, citeulike-article-id = {1559869}, citeulike-linkout-0 = {http://arxiv.org/abs/quant-ph/0504101}, citeulike-linkout-1 = {http://arxiv.org/pdf/quant-ph/0504101}, citeulike-linkout-2 = {http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=2005quant.ph..4101K}, eprint = {quant-ph/0504101}, journal = {ArXiv Quantum Physics e-prints}, keywords = {adiabatic, hypercomputability}, month = {April}, posted-at = {2007-08-14 10:05:11}, priority = {2}, title = {Hypercomputability of quantum adiabatic processes: Fact versus Prejudices}, url = {http://arxiv.org/abs/quant-ph/0504101}, year = {2005} }

TY - JOUR ID - citeulike:1559869 L3 - citeulike-article-id:1559869 N2 - We give an overview of a quantum adiabatic algorithm for Hilbert's tenth problem, including some discussions on its fundamental aspects and the emphasis on the probabilistic correctness of its findings. For the purpose of illustration, the numerical simulation results of some simple Diophantine equations are presented. We also discuss some prejudicial misunderstandings as well as some plausible difficulties faced by the algorithm in its physical implementation. JF - ArXiv Quantum Physics e-prints TI - Hypercomputability of quantum adiabatic processes: Fact versus Prejudices KW - adiabatic KW - hypercomputability AU - Kieu, TD PY - 2005/April// UR - http://arxiv.org/abs/quant-ph/0504101 ER -