Effects of black hole evaporation on the quantum entangled sate

Research output: Contribution to journalArticlepeer-review


We investigate the effect of black hole evaporation on the entangled state in which one party of a pair, Alice, falls into the black hole at formation while the other party, Bob, remains outside the black hole. The final state of a black hole is studied by taking into account a general unitary evolution of a black-hole matter state. The mixedness is found to decrease under a general unitary transformation when the initial matter state is in a mixed state and the mean fidelity at the evaporation is smaller than the fidelity of the quantum teleportation by a factor of the inverse square of the number of states of a black hole. The change in the entanglement of the Alice-Bob pair at evaporation is studied by calculating the entanglement fidelity and eigenvalues of the partial transposed block density matrix. The entanglement fidelity is found to be inversely proportional to the square of the Hilbert space dimension N, and the entanglement could survive the evaporation process.

Original languageEnglish
Pages (from-to)725-731
Number of pages7
JournalJournal of the Korean Physical Society
Issue number4
StatePublished - 15 Oct 2010


  • Black hole
  • Entanglement
  • Evaporation
  • Fidelity
  • Final state


Dive into the research topics of 'Effects of black hole evaporation on the quantum entangled sate'. Together they form a unique fingerprint.

Cite this