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	Grover's algorithm
		Grover's algorithm provides "only" quadratic speedup, unlike other quantum algorithms which are thought to provide exponential speedup over their classical counterparts.
		Grover's algorithm wouldn't typically be used to search for names in a phone book, but it could be used to search for a key that decrypts an encrypted message.
		Grover's algorithm can be used for mean and median estimation, and solving the collision problem.
	www.sciencedaily.com /encyclopedia/grover_s_algorithm (894 words)

	Science News Online (6/14/97): Divide and conquer for quantum computers
		The significance of Grover's work on what he calls "quantum telecomputation" is that it pioneers the study of an important question, says theoretical physicist John Preskill of the California Institute of Technology in Pasadena.
		Grover's initial interest was in exploiting quantum mechanical effects to develop an efficient procedure, or algorithm, for solving an important type of problem in computer science.
		Grover proposes the possibility of representing numbers as entangled particles, each of which is a combination of two states.
	www.sciencenews.org /sn_arc97/6_14_97/fob3.htm (750 words)

	Under Development - Quantum computing - CIO Magazine April 15, 2000 (Site not responding. Last check: 2007-10-18)
		The algorithm, developed by Bell Labs researcher Lov Grover in his spare time, will be ready for use when the first quantum computer becomes available—maybe five or 50 years from now.
		But a quantum computer using Grover's algorithm would only require a specific number of steps; the number of steps needed is the square root of the total number of items in the database.
		Grover notes that the technology could also be used in other areas besides phone books and business databases.
	www.cio.com /archive/041500_development.html?printversion=yes (436 words)

	Science News Online (8/31/96): Quantum-Quick Queries
		Lov K. Grover of ATandT Bell Laboratories in Murray Hill, N.J., described his novel algorithm earlier this year at a Philadelphia meeting on the theory of computing.
		The only problem is that Grover's method requires a quantum computer, in which the familiar binary logic of 0s and 1s of existing computers is replaced by elements called quantum bits (qubits) that behave according to the laws of quantum mechanics (SN: 1/14/95, p.
		Computer scientists may also find it possible to combine Grover's scheme with other quantum-mechanical algorithms to design superior procedures for searching databases in which items are in alphabetical order or have some other sort of structure.
	www.sciencenews.org /sn_arch/8_31_96/bob2.htm (953 words)

	Lov Grover - What's a Quantum Phone Book? (Site not responding. Last check: 2007-10-18)
		Grover, who works in Advanced Technologies, did the work on the algorithm on the side in addition to his normal job of designing and implementing CAD circuit simulators.
		To Be and Yet Not to Be The key to Grover's search mechanism lies in a quantum computer's ability to exist in more than one state at a time, and search different parts of the database at the same time.
		Grover's discovery involves a sequence of simple quantum operations on the register's state.
	www.bell-labs.com /user/feature/archives/lkgrover (749 words)

	Quantum Sampling Algorithm TRN 062800
		The sampling algorithm, written by Bell Labs' researcher Lov K. Grover, enables three types of applications for quantum computing: statistical sampling, searching with sketchy information and Monte Carlo integration, which is a technique for approximating the answers to scientific problems that are too difficult to solve.
		Grover's quantum sampling algorithm is similar to classical algorithms that use sampling but takes advantage of the quantum speed-up.
		Although the sampling algorithm is probably not as "novel and exciting" as Grover's original search algorithm, no one doubts the importance of sampling on quantum computers, said Daniel Lidar, a physicist researching quantum computing at the University of California at Berkeley.
	www.trnmag.com /Stories/062800/Quantum_Sampling_Algorithm_062800.html (605 words)

	Wired News: Quantum Leap in Searching (Site not responding. Last check: 2007-10-18)
		Lov Grover, a researcher at Lucent Technologies' Bell Labs in New Jersey, has invented a technique that would allow a quantum computer to almost instantaneously search massive databases and return very precise results.
		Grover is famous in quantum computing circles for inventing the first search algorithm for quantum computers in 1996.
		Grover said his latest algorithm solves that problem and may also prove useful as a general problem-solving technique in computing and quantum physics.
	www.wired.com /news/print/0,1294,36574,00.html (736 words)

	Lucent Technologies researcher shows quantum computers can perform more applications than previously thought (Site not responding. Last check: 2007-10-18)
		Two years ago, Grover shook up the computing world when he proposed that a quantum computer might be able to exceed conventional computational limits.
		Using a similar approach, Grover also has shown that quantum computers would be appropriate for various statistical applications, such as estimating the mean and median of a large group of numbers.
		Grover’s latest research shows that the quantum search algorithm is surprisingly robust to certain types of errors.
	www.lucent.com /press/0598/980524.bla.html (706 words)

	Bell Labs: Lov Grover Devises Hi-Speed Quantum Algorithm to Intelligently Search Databases (Site not responding. Last check: 2007-10-18)
		Grover is presenting his visionary algorithm at the Association for Computing Machinery's 32nd annual Symposium on the Theory of Computing (STOC) taking place here this week.
		STOC is considered one of the most prestigious conferences in computer science, and Grover is the inventor of some of the most significant and powerful algorithms in the emerging field of quantum computing.
		Grover is the inventor of some of the most versatile algorithms in quantum computing.
	www.bell-labs.com /news/2000/may/23/2.html (954 words)

	Grover's algorithm - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-10-18)
		Although the purpose of Grover's algorithm is usually described as "searching a database", it may be more accurate to describe it as "inverting a function".
		Inverting a function is related to the searching of a database because we could come up with a function that produces a particular value of y if x matches a desired entry in a database, and another value of y for other values of x.
		Grover's algorithm can also be used for estimating the mean and median of a set of numbers, and for solving the collision problem.
	luvfeed.org /cache/4686 (931 words)

	Business Software Review:Category Top/Computers/Algorithms (Site not responding. Last check: 2007-10-18)
		Grover's algorithm is a quantum algorithm for searching an unsorted database with N entries in O(N1/2) time and using O(logN) storage space (see big O notation).
		It was invented by Lov Grover in 1996.Table of contents showTocToggle("show","hide")1 Introduction2 Setup3 Steps of the algorithm4 Explanation of the algorithm5 Extensions6 References Introduction Classically, searching an unsorted database requires a linear search, which is O(N) in time.
		Grover's algorithm, which takes O(N 1/2) time, is the fastest possible quantum algorithm for searching an unsorted database.
	www.business-software-review.org /Category115.html (833 words)

	Citations: Quantum mechanics helps in searching for a needle in a haystack - Lov (ResearchIndex) (Site not responding. Last check: 2007-10-18)
		In the beginning of the 90s, the scientific community was convince that bit commitment could be achieved with security relying solely on laws of quantum mechanics [5] A bit commitment scheme is a cryptographic....
		This means unstructured NP complete problems can be solved by forming a database of all possible candidate solutions, and then use Grover s algorithm to find the solution.
		Grover L K, Quantum mechanics helps in searching for a needle in a haystack, Phys.
	citeseer.ist.psu.edu /context/209022/0 (1506 words)

	Citations: A fast quantum mechanical algorithm for database search - Grover (ResearchIndex) (Site not responding. Last check: 2007-10-18)
		Grover showed that it can be done with O(# 2) uses of U a by preparing the state 1 x=0.
		Grover, "A fast quantum mechanical algorithm for database search", in Proceedings of the 28th Annual ACM Symposium on the Theory of Computing, Philadelphia, PA, 22--24 May 1996.
		Grover s algorithm searches an unordered list in O(# n) time, while classical algorithms require O(n) Although Grover s quadratic speedup is....
	citeseer.lcs.mit.edu /context/31623/175549 (2885 words)

	Search Encyclopedia.com (Site not responding. Last check: 2007-10-18)
		Cleveland, Grover -> Presidency First Term By 1884 he was a national figure, and he was nominated as Democratic clean-government candidate for President to oppose James G. Blaine.
		Cleveland, Grover -> Early Career A lawyer in Buffalo, N.Y., he became (1882) the veto mayor who drove corruption from the city administration.
		He won the attention of Daniel Manning and the reform Democrats and was elected governor of New York.
	www.encyclopedia.com /search.asp?target=Lov+K%2E+Grover&rc=10&fh=6&fr=11 (543 words)

	Citations: Quantum computers can search arbitrarily large databases by a single query - Lov (ResearchIndex) (Site not responding. Last check: 2007-10-18)
		Grover L K, Quantum computers can search arbitrarily large databases by a single query in Phys.
		Fact 5 (Grover s search algorithm [48] Let f(1) f(n) be a string of n 1 zeros and one entry f(s) 1.
		Grover, Lov K., Quantum computers can search arbitrarily large databases by a single query, quant-ph/9706005.
	citeseer.ist.psu.edu /context/18776/0 (1161 words)

	Tathagat's research (Site not responding. Last check: 2007-10-18)
		Right now, I am on a research visit to Bell Laboratories, New Jersey, USA for a period of six months from June to Dec. 2005.
		Lov Grover, most famous for his invention of quantum search algorithm.
		Using Shor's factoring algorithm and a large scale quantum computer (which at present, we don't have), we can find out the factors of a large number very quickly compared to our present classical computers and this implies breaking of the popular RSA cryptosystem.
	physics.iisc.ernet.in /~tathagat/research.htm (290 words)

	Search Encyclopedia.com (Site not responding. Last check: 2007-10-18)
		He wrote hundreds of short stories for the Madras newspaper Hindu, but he first came to international attention when his works were haile...
		Cleveland, Grover Cleveland, Grover (Stephen Grover Cleveland), 1837-1908, 22d (1885-89) and 24th (1893-97) President of the United States, b.
		Alexander, Grover Cleveland Alexander, Grover Cleveland, 1887-1950, American baseball player, b.
	www.encyclopedia.com /searchpool.asp?target=Lov+K.+Grover (448 words)

	Lov Grover - Encyclopedia Glossary Meaning Explanation Lov Grover (Site not responding. Last check: 2007-10-18)
		Lov Grover - Encyclopedia Glossary Meaning Explanation Lov Grover.
		Here you will find more informations about Lov Grover.
		The orginal Lov Grover article can be editet
	www.encyclopedia-glossary.com /en/Lov-Grover.html (92 words)

	Grover Cleveland - grover.net: Grover Sanschagrin... (Site not responding. Last check: 2007-10-18)
		Though often overlooked, Grover Cleveland was a significant figure in American presidential history.
		News articles Lov Grover Devises Hi-Speed Quantum Algorithm to Intelligently Search Databases, Bell Labs Innovations in the News, May 23, 2000...
		Max Grover is best known for the colorful, playful paintings he shows in West Coast galleries.
	www.discountshoppingdance.com /cool/grover-cleveland-2506330-so (401 words)

	Geek.com Geek News - Searching the future
		The developer of the new search algorithm is Lov Grover, the man who developed the first quantum search algorithm in 1996.
		GSA is incredibly fast: if you had a million items in a database, a normal computer would have to look at half the items, while the GSA on a quantum computer would only need to look at 1,000 items (0.1%).
		Of course, experts in the field of quantum computing estimate that we might be able to build a 30 qubit computer within 10 years, but we'd need hundreds or thousands of qubits in a computer to exceed the abilities of current computers.
	www.geek.com /news/geeknews/q22000/gee2000525001511.htm (610 words)

	The 4th Canadian Summer School on Quantum Information \| Institute for Quantum Computing (Site not responding. Last check: 2007-10-18)
		A special topic in the third lecture will be the density matrix formalism, which is widely used in the description of noisy quantum systems.
		In 1996 Lov Grover gave the foundation of an exciting new algorithm for quantum computers.
		Grover sketched an algorithm that solves the general problem in a time proportional to the square root of the number of inputs x, which is in O(2
	www.iqc.ca /conferences/cssqi/abstracts.html (4226 words)

	Grover (disambiguation) - Encyclopedia Glossary Meaning Explanation Grover (disambiguation) (Site not responding. Last check: 2007-10-18)
		Grover (disambiguation) - Encyclopedia Glossary Meaning Explanation Grover (disambiguation).
		Here you will find more informations about Grover (disambiguation).
		The orginal Grover (disambiguation) article can be editet
	www.encyclopedia-glossary.com /en/Grover-disambiguation.html (84 words)

	Protein° Feed - Return Of The Quantum Algorithm (Site not responding. Last check: 2007-10-18)
		All the algorithm needs is one or two definitive search terms, plus a probability associated with each search criteria.
		Grover?s latest algorithm is one of only a handful, developed so far for quantum computers.
		David DiVincenzo, a researcher at IBM's Watson Research Center said Grover's research was of limited usefulness because of the lack of quantum computers to run the algorithm on.
	feed.proteinos.com /item/999 (310 words)

	Nature highlights > Quantum mechanics: Metallic memories (Site not responding. Last check: 2007-10-18)
		Lov K. Grover showed that using a mathematical process now known as the Grover search algorithm, a quantum computer can greatly outperform classical machines.
		A theoretical study now proposes that it should be possible to use molecular magnets -- such as Fe and Mn -- to build dense and efficient memory devices based on Grover's algorithm.
		As an added bonus the crystalline nature of such magnets provides a natural means of amplifying the spin signals.
	www.nature.com /nature/links/010412/010412-7.html (140 words)

	Lov Grover - Encyclopedia, History, Geography and Biography
		Lov Grover - Encyclopedia, History, Geography and Biography
		This page was last modified 18:37, 19 Nov 2004.
		This encyclopedia, history, geography and biography article about Lov Grover contains research on
	www.arikah.net /encyclopedia/Lov_K._Grover (70 words)

	Massey University (Site not responding. Last check: 2007-10-18)
		Probably the second most famous example (after Peter Shor's factoring algorithm) is Lov Grover's search algorithm, for finding one "marked" item in a domain of size $N$ using effort $O(\sqrt{N})$.
		I will describe Grover's algorithm, and then quickly describe the pure adaptive search algorithm for global optimisation, and finish by showing how Grover's algorithm can be used to implement pure adaptive search, yielding a quadratic acceleration for the solution of totally unstructured global optimisation problems.
		Seminar: Applying Grover's Quantum Search Algorithm to Global OptimisationDate: Thursday 18 May Time: 1-2pm Place: SST1.39 Speaker: Dr. David Bulger Abstract: The predicted technology of "quantum computing" will substantially alter how algorithms are constructed.
	www-ist.massey.ac.nz /dbupdate/news/select-news.asp?ID=311 (332 words)

	quantum computing - a Whatis.com definition
		The other major breakthrough happened with Lov Grover of Bell Labs in 1996, with a very fast algorithm that is proven to be the fastest possible for searching through unstructured databases.
		It has been achieved by Grover with his database search algorithm, that relies on the special "wave" shape of the probability curve inherent in quantum computers, that ensures, once all calculations are done, the act of measurement will see the quantum state decohere into the correct answer.
		Even though there are many problems to overcome, the breakthroughs in the last 15 years, and especially in the last 3, have made some form of practical quantum computing not unfeasible, but there is much debate as to whether this is less than a decade away or a hundred years into the future.
	whatis.techtarget.com /definition/0,,sid9_gci332254,00.html (2235 words)

	Quantum Algorithm (Site not responding. Last check: 2007-10-18)
		Yet, the Grover algorithmalso relies on feeding a superposition of all numbers into a characteristicfunction of the problem, and then filtering the register in a specialway to obtain an answer to a problem, that would call for n evaluationsclassically, in only steps.
		Grover is the inventor of some of the most versatile algorithms inquantum computing.
		Grover's Quantum Algorithm Applied To Global Optimization Abstract Grover's Quantum Algorithm Applied to Global Optimization: SIAM Journal on Optimization Vol.
	education-course-finds.com /directory/algorithm/quantum-algorithm.html (807 words)

	Thiaoouba Prophecy :: View topic - The Memory of an Electron
		For example, with a polymer, changing its constituent atoms' phase could mimic the wave-function phase of a metal, thereby imbuing plastic with the strength of steel.
		Quantum phase for data storage was first proposed by Lov Grover at Lucent Technologies Bell Laboratories (Murray Hill, N.J.) in 1997.
		"Grover speculated that quantum data registers could store and retrieve data by allowing you to search many locations simultaneously; we tested one of his algorithms and confirmed it," said Bucksbaum.
	www.goldenplanetforum.com /viewtopic.php?p=287 (2916 words)

	Complexity theory: Quantum Computation
		The recent theoretical work of Peter Shor and Lov Grover has demonstrated that this parallelism might be useful in solving problems of interest, such as factoring integers and general searching.
		Certain obstacles to improving Grover's algorithm are evident from relativization arguments.
		In another direction, we are working with Kazuo Ohta on applying the Farhi-Gutmann analysis of Grover's algorithm to the more general problem of counting the number of objects that satisfy a specified property in a large search space.
	www-math.mit.edu /~sipser/ntt/quantum-computing.html (664 words)

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