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Classical software model of entangled quantum statesстатья
- Авторы: Evdokimov Nikolay, Kamalov Timur Fianovich, Kamalov Yury
- Сборник: The OpenAIRE project Zenodo
- Год издания: 2023
- Место издания: Zenodo
- DOI: 10.5281/ZENODO.7847110
- Аннотация: Let’s consider a pair of particles with half-integer spin formed in a singlet state and moving freely in opposite directions. Let a be some unit vector and σ1 and σ2 are spin components of these particles. If the result A of the measurement (σ1, a) gives +1, then the result B of the measurement (σ2, a) gives -1 and vice versa. Let’s add a random vector w to this description. Then the results of measurements A and B give A(a, w) = ±1, B(b, w) = ∓1. For the distribution probability ρ( w) the expectation amount is determined by the expressionP(a,b) = integral [ρ( w) A(a, w) B(b, w) dw]The quantum mechanical expectation value is (a, b). Measurement result of the component (σ, a) gives sign(σ, a). ThenA(a, w) = sign(a, w)B(b, w) = −sign(b, w)orA(a, w) = sign(cos(φ(t)) + θ1)B(b, w) = −sign(cos(φ(t)) + θ2).In other words a random process φ(t) obtained using a random number generator with ⟨φ(t)⟩ = 0 and the random phase θ in the range (0, 2π) is added.The random semiqubit algorithm is a function of two variablesf(t, θ) = sign(cos(φ(t)) + θ))where θ corresponds to the measurement angle set by the observer.e
- Добавил в систему: Камалов Тимур Фянович