Physics

Quantum Phase Transitions May Hold Key to Unsolved Math Mystery

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Quantum phase tran…Riemann hypothesis

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Researchers have established a connection between the Riemann Hypothesis, one of mathematics' most famous unsolved problems, and phase transitions in quantum systems. The study, published in Nature Communications, demonstrates this relationship experimentally using a quantum processor, showing how the behavior of certain quantum systems relates to the distribution of prime numbers encoded in the Riemann zeta function.


This work bridges pure mathematics and quantum physics, potentially offering new experimental approaches to investigating the Riemann Hypothesis through quantum simulations. It also suggests that insights from number theory could inform the design and behavior of quantum computing systems.


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A new study in Nature Communications has established a link between the Riemann Hypothesis and dynamical phase transitions in engineered quantum systems, demonstrating the effect on a quantum processor.

Source: Physicists link the Riemann Hypothesis to phase transitions in quantum systems