In this chapter, the term "classical probability" is used for probability represented mathematically by the measure-theoretic model of Kolmogorov (so to say, Kolmogorovean probability); the term "quantum probability" is used for theory of probability based on the complex Hilbert representation and ...
Probability and Randomness: Quantum Versus Classical Creating a rigorous mathematical theory of randomness is far from being complete, even in the classical case. Probability and Randomness: Quantum versus Classical rectifies this and introduces mathematical formalisms of classical and qua... Khrennikov...
Quantum measurement is required element in high-complexity quantum computations, in high-performance quantum information processing and in quantum computer architectures. The main issues of current quantum measurement strategies are the high number of measurement rounds and the probability of successfully find...
Enrico Bellone, to deny to the supporters of quantum probability the rights of expression he gave to its opponents: those interested in this and other examples of "sociology of academic repression" may consult the Volterra Center's WEB page: http://volterra.mat.uniroma2.it .)One way to ...
Materials and Methods Min-entropy source Given the underlying probability distribution, the randomness of a random sequenceXon {0, 1}ncan be quantified by its min-entropy (2)Hmin=−log(maxv∈{0,1}nProb[X=v]) Santha–Vazirani weak sources ...
We further show that it has a dramatic nonextensive feature resembling the probability law relating operations of two events. This measure of quantum uncertainty provides an alternative quantity complementary to the von Neumann entropy for studying mixedness and quantum correlations. 展开 关键词: ...
. In order for this to happen with appreciable probability with a harmonically trapped atom, the ratio betweenErand the quantized motional energy of the trapped atom,ℏvshould not be too small (vis the angular frequency of the vibrational mode to be excited). Therefore, in usual traps, ...
Error percentages indicate the probability to incorrectly count a measurement that was a true n photon event. Errorall includes all areas and uses the Gaussian intersections to place bins. Error2σ discards area events occurring outsides of a 2σ width centred around each Gaussian in the ...
whereNis the number of process repetitions, andnis the number of process reruns in which the event took place. In this context, there is the problem of the difficulty of repeating a quantum measurement infinitely many times. This problem was at the heart of the concept of a probability paradi...
While such state is undefined, you don't need to worry about such eventualities because the probability is zero!If you take ψ to be the uniform state vector given above and are interested in measuring the first qubit thenP(measurement of first qubit=1)=(ψ†e1)(e1†ψ)+(ψ†e3)...