What is it about?
Quantum computing is a rapidly emerging field that is challenging to keep up with in terms of technological and algorithmic developments. What was considered the way forward four years ago may no longer be as widely shared. This is also because new algorithms have been invented, and the theoretical limitations of others are now being understood.
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Why is it important?
The holy grail of quantum computing is to achieve practical quantum speed-up in the next years. A promising avenue is the development of probabilistic algorithms, which leverage the delocalization of the wave function and subsequent collapses. Conversely, algorithms that require repeating the same circuit an unreasonable number of times to achieve a certain level of statistical confidence are not promising. In this article, these challenges and opportunities, rarely discussed elsewhere, are instead presented in an introductory manner. In the end, there is a focus on quantum algorithms for speeding up sampling.
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This page is a summary of: Quantum computing for chemistry and physics applications from a Monte Carlo perspective, The Journal of Chemical Physics, January 2024, American Institute of Physics,
DOI: 10.1063/5.0173591.
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