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Alternative to purification in conformal field theory
In conformal field theories, in contrast to some auxiliary states into the bipartite mixed state ρAB as the usual purifications do, we show a pure entangled state ψAB can be… Click to show full abstract
In conformal field theories, in contrast to some auxiliary states into the bipartite mixed state ρAB as the usual purifications do, we show a pure entangled state ψAB can be constructed by the undetectable regions. In this pure state ψAB, the von Neumann entropy SvN(A:B) naturally captures quantum entanglement between A and B. We verify that SvN(A:B) is equal to the entanglement wedge cross section EW in anti–de Sitter spacetime, which is conjectured to be the holographic dual of the entanglement of purification.Published by the American Physical Society2025
