Every matrix element of a fermionic Gaussian operator between arbitrary Pauli product states is expressed as a single Pfaffian of a 2L by 2L kernel with explicitly tabulated sign matrices.
Post measurement bipartite entanglement entropy in conformal field theories
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We derive exact formulas for bipartite von Neumann entanglement entropy after partial projective local measurement in $1+1$ dimensional conformal field theories with periodic and open boundary conditions. After defining the set up we will check numerically the validity of our results in the case of Klein-Gordon field theory (coupled harmonic oscillators) and spin-$1/2$ XX chain in a magnetic field. The agreement between analytical results and the numerical calculations is very good. We also find a lower bound for localizable entanglement in coupled harmonic oscillators.
citation-role summary
background 1
citation-polarity summary
fields
quant-ph 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Matrix Elements of Fermionic Gaussian Operators in Arbitrary Pauli Bases: A Pfaffian Formula
Every matrix element of a fermionic Gaussian operator between arbitrary Pauli product states is expressed as a single Pfaffian of a 2L by 2L kernel with explicitly tabulated sign matrices.