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Two-Photon Walk a Giant Leap For Quantum Computing 112

ElectricSteve writes "Research conducted at the University of Bristol means a number of quantum computing algorithms may soon be able to execute calculations of a complexity far beyond what today's computers allow us to do. The breakthrough involves the use of a specially designed optical chip to perform what's known as a 'quantum walk' with two particles ... and it suggests the era of quantum computing may be approaching faster than the scientific establishment had predicted. A random walk – a mathematical concept with useful applications in computer science – is the trajectory of an object taking successive steps in a random direction, be it over a line (with only two possible directions) or over a multi-dimensional space. A quantum walk is the same concept, but translated to the world of quantum computing, a field in which randomness plays a central role. Quantum walks form an essential part of many of the algorithms that make this new kind of computation so promising, including search algorithms that will perform exponentially faster than the ones we use today."
NASA

Obama Outlines Bold Space Policy ... But No Moon 455

The Bad Astronomer writes "In front of a mostly enthusiastic audience at NASA's Kennedy Space Center today, President Obama outlined a bold, new space policy. It's a change from his previous policy; the Constellation rockets are still dead, but a new heavy-lift rocket system is funded. He specifically talked of manned asteroid and Mars missions, but also stated there would be no return to the Moon. This is a major step in the right direction, but still needs some tweaking."

Comment Re:I don't get why... (Score 1) 322

The reason that fun games tend to be NP-hard (or harder) is that if a game's "physics" supports interesting constructions requiring complex reasoning to solve, then probably that same physics can be used to build computational gadgets, which is how you show hardness of the generalized version. This quality expresses itself even on small, fixed-size board.

Comment Re:chess and go aren't np-hard, but they are also (Score 5, Informative) 322

Chess and Go are actually EXPTIME-complete, even harder than NP-complete problems and PSPACE-complete problems.

In general, one-player games of bounded length (like Flood-It, or Sudoku) tend to be NP-complete; one-player unbounded games (like sliding-block puzzles, or Sokoban) tend to be PSPACE-complete; two-player bounded-length games (like Hex, or Amazons) also tend to be PSPACE-complete, and two-player unbounded games (like Chess, Checkers, and Go) tend to be EXPTIME-complete.

I can't resist here a plug for my book (with Erik Demaine), Games, Puzzles, and Computation, which discusses all these issues in detail. A theme running throughout the book is the same as the view expressed in this paper: most interesting games and puzzles seem to be as hard as their "natural" complexity class, outlined above.

Math

What Computer Science Can Teach Economics 421

eldavojohn writes "A new award-winning thesis from an MIT computer science assistant professor showed that the Nash equilibrium of complex games (like the economy or poker) belong to problems with non-deterministic polynomial (NP) complexity (more specifically PPAD complexity, a subset of TFNP problems which is a subset of FNP problems which is a subset of NP problems). More importantly there should be a single solution for one problem that can be adapted to fit all the other problems. Meaning if you can generalize the solution to poker, you have the ability to discover the Nash equilibrium of the economy. Some computer scientists are calling this the biggest development in game theory in a decade."
Caldera

SCO Terminates Darl McBride 458

bpechter writes "Linux Today reports SCO has terminated Darl McBride and linked to the SCO 8K SEC report. The report found also at the SCO site and states: 'the Company has eliminated the Chief Executive Officer and President positions and consequently terminated Darl McBride.'"

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