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  • Letter
  • Open Access

Alternative to purification in conformal field theory

Xin Jiang*, Peng Wang†, Houwen Wu‡, and Haitang Yang§

  • *Contact author: domoki@stu.scu.edu.cn
  • †Contact author: pengw@scu.edu.cn
  • ‡Contact author: iverwu@scu.edu.cn
  • §Contact author: hyanga@scu.edu.cn
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Phys. Rev. D 111, L021902 – Published 23 January, 2025

DOI: https://doi.org/10.1103/PhysRevD.111.L021902

Abstract

In conformal field theories, in contrast to adding 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 subtracting 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.

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Phys. Rev. D 111, L021902– Published 23 January, 2025
  • Received 17 June 2024
  • Accepted 3 January 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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