Top Mathematics discussions
NishMath - #Simulation
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Matt Swayne@The Quantum Insider
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D-Wave Quantum Inc. has made a splash by claiming its Advantage2 annealing quantum computer achieved quantum supremacy in complex materials simulations, publishing their study in the journal Science. The company states that its system can perform simulations in minutes that would take the Frontier supercomputer nearly a million years and consume more than the world’s annual electricity consumption. According to D-Wave CEO Alan Baratz, this achievement validates quantum annealing's practical advantage and represents a major milestone in quantum computational supremacy and materials discovery.
However, D-Wave's claim has faced criticism, with researchers suggesting that classical algorithms can rival or even exceed quantum methods in these simulations. Some researchers say that they performed similar calculations on a normal laptop in just two hours. Concerns have been raised about the real-world applicability and practical benefits of D-Wave's quantum supremacy claims in computational tasks. Despite the criticisms, D-Wave is standing by the claims from the study.
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@physics.aps.org
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Google's quantum simulator has challenged the conventional understanding of magnetism, specifically the Kibble-Zurek mechanism, which is widely used to predict the behavior of magnets during phase transitions. By employing a hybrid analog-digital approach, Google's simulator has revealed that this mechanism doesn't always hold true, suggesting that magnetism may function differently than previously thought. This discovery highlights the potential of quantum simulators to uncover new physics and challenge existing theories.
Researchers combined analog and digital quantum computing utilizing 69 superconducting qubits and a high-fidelity calibration scheme to simulate complex quantum systems. With an impressively low error rate of 0.1% per qubit, simulations at this fidelity would take over a million years on the Frontier exascale supercomputer. This breakthrough demonstrates the potential of quantum simulation to tackle problems that are currently intractable for even the most powerful classical computers, opening doors to new discoveries in materials science and other fields.
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@astro.theoj.org
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Computational simulations are advancing rapidly across various scientific domains, leveraging sophisticated techniques in applied mathematics. A new project explores implementing electromagnetic wave simulations using array languages like APL, J, or K, focusing on the Finite-Difference Time-Domain (FDTD) method. This method discretizes space into a grid, using magnetic and electric field vectors to simulate wave behavior through array arithmetic.
This method is also being applied to cosmological simulations, as evidenced by a recent publication in The Open Journal of Astrophysics titled "AI-assisted super-resolution cosmological simulations IV: An emulator for deterministic realizations" by Xiaowen Zhang, Patrick Lachance, and others. The study develops an emulator that uses deep learning to enhance low-resolution simulations with statistically correct details, producing accurate simulations and mock observations for large galaxy surveys. Additionally, research is being conducted on disaggregating log replication protocols for state machine replication, improving the efficiency and reliability of distributed data systems, as highlighted in Jack Vanlightly's analysis.
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