Matrix Multiplication Inches Closer to Mythic Goal
For computer scientists and mathematicians, opinions about “exponent two” boil down to a sense of how the world should be. “It’s hard to distinguish scientific thinking from wishful thinking,” said Chris Umans of the California Institute of Technology. “I want the exponent to be two because it’s beautiful.” “Exponent two” refers to the ideal speed — in terms of number of steps required — of perfor
Quantum Computers Struggle Against Classical Algorithms | Quanta Magazine
A popular misconception is that the potential — and the limits — of quantum computing must come from hardware. In the digital age, we’ve gotten used to marking advances in clock speed and memory. Likewise, the 50-qubit quantum machines now coming online from the likes of Intel and IBM have inspired predictions that we are nearing “quantum supremacy” — a nebulous frontier where quantum computers be
Scant Evidence of Power Laws Found in Real-World Networks | Quanta Magazine
A paper posted online last month has reignited a debate about one of the oldest, most startling claims in the modern era of network science: the proposition that most complex networks in the real world — from the World Wide Web to interacting proteins in a cell — are “scale-free.” Roughly speaking, that means that a few of their nodes should have many more connections than others, following a math
Physicists Aim to Classify All Possible Phases of Matter | Quanta Magazine
In the last three decades, condensed matter physicists have discovered a wonderland of exotic new phases of matter: emergent, collective states of interacting particles that are nothing like the solids, liquids and gases of common experience. The phases, some realized in the lab and others identified as theoretical possibilities, arise when matter is chilled almost to absolute-zero temperature, hu
A Brain Built From Atomic Switches Can Learn | Quanta Magazine
Brains, beyond their signature achievements in thinking and problem solving, are paragons of energy efficiency. The human brain’s power consumption resembles that of a 20-watt incandescent lightbulb. In contrast, one of the world’s largest and fastest supercomputers, the K computer in Kobe, Japan, consumes as much as 9.89 megawatts of energy — an amount roughly equivalent to the power usage of 10,
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