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Fidelity is symmetric in its arguments, i.e. F (ρ,σ) = F (σ,ρ). Note that this is not obvious from the original definition. F (ρ,σ) lies in [0,1], by the Cauchy–Schwarz inequality. F (ρ,σ) = 1 if and only if ρ = σ, since Ψ ρ = Ψ σ implies ρ = σ. So we can see that fidelity behaves almost like a metric.
The Schrödinger equation describes how quantum systems that are not observed evolve over time, and is | = ^ | . When the system is in a stable environment, so it has a constant Hamiltonian, the solution to this equation is () = ^ /. [1]: 24–25 If the time is always the same it may be omitted for simplicity, and the way quantum states evolve can be described as | = | , just as in the above ...
Dynamic range (abbreviated DR, DNR, [1] or DYR [2]) is the ratio between the largest and smallest measurable values of a specific quantity. It is often used in the context of signals, like sound and light.
An n-ary operation ω on a set X is a function ω: X n → X. The set X n is called the domain of the operation, the output set is called the codomain of the operation, and the fixed non-negative integer n (the number of operands) is called the arity of the operation. Thus a unary operation has arity one, and a binary operation has arity two.
The approach is based on the relation between the fidelity and the quantum Fisher information and that the fidelity can be computed based on semidefinite programming. For systems in thermal equibirum, the quantum Fisher information can be obtained from the dynamic susceptibility. [29]
Fold change is a measure describing how much a quantity changes between an original and a subsequent measurement. It is defined as the ratio between the two quantities; for quantities A and B the fold change of B with respect to A is B/A. In other words, a change from 30 to 60 is defined as a fold-change of 2.
For example, low-fidelity data can be acquired by using a distributed simulation platform, such as X-Plane, and requiring novice participants to operate in scenarios that are approximations of the real-world context. The benefit of using low-fidelity data is that they are relatively inexpensive to acquire, so it is possible to elicit larger ...
The plus and minus symbols are used to show the sign of a number. In mathematics, the sign of a real number is its property of being either positive, negative, or 0.Depending on local conventions, zero may be considered as having its own unique sign, having no sign, or having both positive and negative sign.