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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 ...
Vinyl microgroove phonograph records typically yield 55-65 dB, though the first play of the higher-fidelity outer rings can achieve a dynamic range of 70 dB. [25] German magnetic tape in 1941 was reported to have had a dynamic range of 60 dB, [26] though modern-day restoration experts of such tapes note 45-50 dB as the observed dynamic range. [27]
The Minus 5 made their live debut at the Crocodile Cafe on November 9, 1993, on a bill supporting jangly indie heroes The Silos. As Auer and Stringfellow were in Europe touring behind the Posies' Frosting On The Beater, the Minus 5 performed as a duo with backing from The Silos' Walter Salas-Humara, Tom Freund and Manuel Versoza for the last three songs.
The Cirac-Zoller CNOT gate was not experimentally demonstrated with two ions until 8 years later, in 2003, with a fidelity of 70-80%. [5] Around 1998, there was a collective effort to develop two-qubit gates independent of the motional state of individual ions, [ 6 ] [ 1 ] [ 7 ] one of which was the scheme proposed by Klaus Mølmer and Anders ...
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]
The Minus 5 is the self-titled seventh full-length album by American rock band The Minus 5. Featuring a lineup of Scott McCaughey, Peter Buck (of R.E.M.), Bill Rieflin, and John Ramberg, it was released in 2006 on Yep Roc Records. The album features contributions from Kelly Hogan, Colin Meloy of The Decemberists, and Sean Nelson of Harvey ...
Investment giant Fidelity believes its shares of X, the platform formerly known as Twitter, are worth 71.5% less than when Musk first purchased the social media company in October 2022, according ...