Question

This is the first word in the name of a hybrid quantum-classical algorithm introduced by Peruzzo et al. with the most promising near-term potential for speeding up computational chemistry calculations. That “quantum eigensolver” described by this word takes advantage of the fact that the expectation of a Hermitian matrix is bounded below by its lowest eigenvalue. An approximation method named for this word minimizes the energy of a trial wavefunction with respect to a parameter. The Beltrami identity is key to a subfield of mathematical analysis whose name includes this plural noun, which uses the Euler–Lagrange equation to find the extrema of functionals (-5[1])like the action in Lagrangian mechanics. The brachistochrone problem (10[1])motivated the development of, for 10 points, the “calculus of” what word, (10[1])meaning small changes to functions? (10[1]0[8])■END■

ANSWER: variations [accept calculus of variations or variational calculus; accept variational quantum eigensolver or variational method]
<Physics>
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PlayerTeamOpponentBuzz PositionValue
Rasheeq Azad (UG)UNC B (UG)Virginia A (UG)102-5
Isaac Mammel (UG)Maryland A (Grad)UNC C (UG)11110
Jim Fan (Grad)UNC A (Grad)Liberty A (Grad)12310
Vedang Singhal (DII)UNC D (DII)Duke A (UG)1290
Kevin Jiang (UG)Duke A (UG)UNC D (DII)1290
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Luke Schaarschuch (UG)Virginia C (UG)GWU B (Grad)1290
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