Question

This property names a type of statement exemplified by one involving the log squared of the Mandelstam variable s, named for Marcel Froissart (“fwah-SAR”). The Wightman axioms entail the existence of a representation of the Poincaré (“pwann-ka-RAY”) group with this property in a QFT’s Hilbert space. (10[1])Operators with this property cannot copy arbitrary (10[1])quantum states according (10[1])to the no-cloning (10[1])theorem. (10[2])One of a type of bound named for this property can be derived from the fact that the S-matrix (10[1])displays it. This property is held by all matrices representing quantum gates (10[2])and by the (-5[1])time (10[1])evolution operator. (10[2]-5[1])The gauge group of QED is the group of matrices (10[2])with (10[1])this property (10[1])of dimension (10[1])1. When multiplied by two vectors, (10[1])matrices with this property leave the Hermitian (“her-MISH-un”) inner product unaltered. (10[1])For 10 points, name this property of a matrix whose conjugate transpose is its inverse. (0[1])■END■ (10[1]0[2])

ANSWER: unitarity [or unitary or unitary matrix or unitary matrices or unitary operators or unitarity operators; accept unitary bound or unitarity bound; accept unitary group; accept unitary representations; prompt on U or U(1)]
<Physics>
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