2005/12/12 by Alexander Yu. Vlasov, Vlasov, Alexander Yu.
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Mechanics and Applications #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.quant-ph/0512090
openalex publication_date 2005/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is discussed an opportunity to introduce new class of quantum algorithms based on possibility to express amplitude of transition between two states of quantum system as sum of some function along all possible classical paths. Continuous analogue of the property with integral on all possible paths is well known due to Feynman approach and ensures the correspondence with classical minimal action principle. It is less technical and rather popular introduction to earlier work about application of Lagrangian methods in quantum computing [quant-ph/0308017].