Quantum walks model the behavior of a quantum state traversing a classically defined, generally finite, graph structure. This paper introduces blind quantum diffusion, a technique for evolving quantum ...

Quantum walks offer a novel approach to solving complex problems that stump classical computers. From powerful algorithms that streamline database searches to enabling quantum simulations, this ...

Quantum walk applications are divided into 4 main categories: quantum computing, quantum simulation, quantum information processing, and graph-theoretic applications. Quantum walks are a powerful ...

This paper addresses a key puzzle in international finance: whether exchange rates follow a random walk or exhibit predictable patterns. We demonstrate that exchange rates can possess a unit root ...

Department of Mathematical Science, Korea Advanced Institute of Science and Technology (KAIST), Daejeon 34141, Republic of Korea Computer, Electrical and Mathematical Sciences and Engineering Division ...

The Nature Index 2024 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

It’s hard to miss how much attention AI image generators alone have attracted in recent months. With good reason, because they demonstrate the progress of deep learning models in a vivid and playful ...

The random walk theorem, first presented by French mathematician Louis Bachelier in 1900 and then expanded upon by economist Burton Malkiel in his 1973 book A Random Walk Down Wall Street, asserts ...

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