Abstract: Constructing linear combinations of idempotent matrices is one of important issues. This paper firstly proposes the definition of n - by - n idempotent matrix of k. Then, the conditions that ...
Sampling from generative models has become a crucial tool for applications like data synthesis and augmentation. Diffusion, Flow Matching and Continuous Normalizing Flows have shown effectiveness ...
We present a new approach to simulating Hamiltonian dynamics based on implementing linear combinations of unitary operations rather than products of unitary operations. The resulting algorithm has ...
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