# Quantum security and theory of decoherence

arXiv: https://arxiv.org/abs/2205.12927 · HTML: https://mlsanity.com/paper/2205.12927/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 25 May 2022.

## Built on by (most cited first, 1 of 1)

- [Measuring incompatibility and clustering quantum observables with a quantum switch](https://mlsanity.com/paper/2208.06210/) (2022)

## Abstract (arXiv)

We sketch a relation between two crucial, yet independent, fields in quantum information research, viz. quantum decoherence and quantum cryptography. We investigate here how the standard cryptographic assumption of shielded laboratory, stating that data generated by a secure quantum device remain private unless explicitly published, is disturbed by the einselection mechanism of quantum Darwinism explaining the measurement process by interaction with the external environment. We illustrate the idea with a paradigmatic example of a quantum random number generator compromised by an analog of the Van Eck phreaking. In particular, we derive a trade-off relation between eavesdropper's guessing probability Pguess and the collective decoherence factor Gamma of the simple form Pguess + Gamma ≥ 1.