Question

A bijection involving one-parameter families of strongly continuous functions with this property is given by Stone’s theorem. The existence of a projective (15[1])representation of the Poincaré group with this property is one of the Wightman axioms. This is the shorter-named of two properties that an operator can have to be compatible with a symmetry transformation on a Hilbert space by Wigner’s theorem. This property is held by operators of the form (*) e to the negative “i times t over h-bar times a Hamiltonian”, such as a state’s time-evolution operator. Quantum gates can be represented by matrices with this property, which is (10[1])the complex-valued equivalent of orthogonality. Matrices with this property preserve inner products and satisfy the equation “M*M (“M-star M”) equals the identity.” For 10 points, name this property of matrices in the group U(n) ■END■

ANSWER: unitary [or unitarity] (Wigner’s theorem states that the operator must either be unitary or anti-unitary.)
<Morrison, Physics>
= Average correct buzz position

Back to tossups

Buzzes

PlayerTeamOpponentBuzz PositionValue
Vincent DuUNC AUNC B2115
Ivan StanisavljevicDukeUNC Hunny10010

Summary

2024 ESPN @ Chicago03/23/2024Y540%0%60%86.50
2024 ESPN @ Columbia03/23/2024Y771%0%29%86.20
2024 ESPN @ Duke03/23/2024Y2100%50%0%60.50
2024 ESPN @ Brown04/06/2024Y3100%0%0%103.00
2024 ESPN @ Cambridge04/06/2024Y2100%0%0%90.50
2024 ESPN @ Online06/01/2024Y475%0%50%107.33