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NishMath - #optimization

@Scientific American //
D-Wave, a quantum computing firm, has asserted that its quantum computers have achieved quantum supremacy by solving a problem of scientific relevance faster than classical computers. Specifically, D-Wave Quantum Inc. claims that its annealing quantum computer outperformed the Frontier supercomputer in simulating complex magnetic materials, a feat published in the journal Science. The company stated that its system completed simulations in minutes that would take Frontier nearly a million years and consume more than the world's annual electricity consumption. The results, according to D-Wave executives, validate the practical advantage of quantum annealing and represent a significant milestone in quantum computational supremacy and materials discovery.

However, the company's claims have been met with scrutiny. Some researchers argue that classical algorithms can still rival or exceed quantum methods in certain cases. For instance, researchers at the Flatiron Institute and EPFL have suggested that classical algorithms, including belief propagation and time-dependent variational Monte Carlo methods, can match or even surpass D-Wave's results in specific scenarios. D-Wave's CEO, Alan Baratz, has responded to these criticisms, arguing that the competing studies tested only a subset of the problems addressed in D-Wave's work and that their simulations covered a broader range of lattice geometries and conditions.

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Stephen Ornes@Quanta Magazine //
A novel quantum algorithm has demonstrated a speedup over classical computers for a significant class of optimization problems, according to a recent report. This breakthrough could represent a major advancement in harnessing the potential of quantum computers, which have long promised faster solutions to complex computational challenges. The new algorithm, known as decoded quantum interferometry (DQI), outperforms all known classical algorithms in finding good solutions to a wide range of optimization problems, which involve searching for the best possible solution from a vast number of choices.

Classical researchers have been struggling to keep up with this quantum advancement. Reports of quantum algorithms often spark excitement, partly because they can offer new perspectives on difficult problems. The DQI algorithm is considered a "breakthrough in quantum algorithms" by Gil Kalai, a mathematician at Reichman University. While quantum computers have generated considerable buzz, it has been challenging to identify specific problems where they can significantly outperform classical machines. This new algorithm demonstrates the potential for quantum computers to excel in optimization tasks, a development that could have broad implications across various fields.

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References :
  • Quanta Magazine: Quantum computers can answer questions faster than classical machines. A new algorithm appears to do it for some critical optimization tasks.
  • medium.com: How Qubits Are Rewriting the Rules of Computation
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