Unitarization of pseudo-unitary quantum circuits in the S-matrix framework
Dennis Lima,
Saif Al-Kuwari
Abstract:Pseudo-unitary circuits are recurring in both S-matrix theory and analysis of No-Go theorems. We propose a matrix and diagrammatic representation for the operation that maps S-matrices to T-matrices and, consequently, a unitary group to a pseudo-unitary one. We call this operation “partial inversion” and show its diagrammatic representation in terms of permutations. We find the expressions for the deformed metrics and deformed dot products that preserve physical constraints after partial inversion. Subsequentl… Show more
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