Frisco 11-year-old sets off on secret mission to help the homeless
11-year-old Treyson Pierce started a fundraiser in May, but kept it hidden from his mom.
Frisco 11-year-old sets off on secret mission to help the homeless
11-year-old Treyson Pierce started a fundraiser in May, but kept it hidden from his mom.
n quantum computing, Grover's algorithm, also known as the quantum search algorithm, refers to a quantum algorithm for unstructured search that finds with high probability the unique input to a black box function that produces a particular output value, using just evaluations of the function, where
is the size of the function's domain. It was devised by Lov Grover in 1996.[1]
The analogous problem in classical computation cannot be solved in fewer than evaluations (because, on average, one has to check half of the domain to get a 50% chance of finding the right input). Charles H. Bennett, Ethan Bernstein, Gilles Brassard, and Umesh Vazirani proved that any quantum solution to the problem needs to evaluate the function
times, so Grover's algorithm is asymptotically optimal.[2] Since classical algorithms for NP-complete problems require exponentially many steps, and Grover's algorithm provides at most a quadratic speedup over the classical solution for unstructured search, this suggests that Grover's algorithm by itself will not provide polynomial-time solutions for NP-complete problems (as the square root of an exponential function is an exponential, not polynomial, function).[3]
Unlike other quantum algorithms, which may provide exponential speedup over their classical counterparts, Grover's algorithm provides only a quadratic speedup. However, even quadratic speedup is considerable when is large, and Grover's algorithm can be applied to speed up broad classes of algorithms.[3] Grover's algorithm could brute-force a 128-bit symmetric cryptographic key in roughly 264 iterations, or a 256-bit key in roughly 2128 iterations. It may not be the case that Grover's algorithm poses a significantly increased risk to encryption over existing classical algorithms, however.[4]
The IBM ® Selectric typewriter was a radical innovation that completely disrupted the business typewriter market. It transformed the speed, accuracy and flexibility with which people could generate the written word, and helped pave the way for the use of typewriter keyboards as the primary method for humans to interact with computers...
In hatred as in love, we grow like the thing we brood upon. What we loathe, we graft into our very soul.
-Mary Renault, novelist (4 Sep 1905-1983)
When wealth is passed off as merit, bad luck is seen as bad character. This is how ideologues justify punishing the sick and the poor. But poverty is neither a crime nor a character flaw. Stigmatize those who let people die, not those who struggle to live.
-Sarah Kendzior, journalist and author (b. 1 Sep 1978)