Relating Quantum Information to Charged Black Holes

TL;DR

This paper examines the conflict between quantum non-cloning and black hole complementarity in charged black holes, revealing inconsistencies inside the inner horizon through specific black hole models.

Contribution

It demonstrates that quantum non-cloning and black hole complementarity are incompatible within the inner horizon of charged black holes using concrete examples.

Findings

Quantum non-cloning theorem conflicts with black hole complementarity inside the inner horizon.

Reissner-Norström and dilaton black holes exemplify these inconsistencies.

Implications for non-local measurements are briefly discussed.

Abstract

Quantum non-cloning theorem and a thought experiment are discussed for charged black holes whose global structure exhibits an event and a Cauchy horizon. We take Reissner-Norstr\"{o}m black holes and two-dimensional dilaton black holes as concrete examples. The results show that the quantum non-cloning theorem and the black hole complementarity are far from consistent inside the inner horizon. The relevance of this work to non-local measurements is briefly discussed.