Non-local parity measurements and the quantum pigeonhole effect

G. S. Paraoanu*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)
100 Downloads (Pure)

Abstract

The pigeonhole principle upholds the idea that by ascribing to three different particles either one of two properties, we necessarily end up in a situation when at least two of the particles have the same property. In quantum physics, this principle is violated in experiments involving postselection of the particles in appropriately-chosen states. Here, we give two explicit constructions using standard gates and measurements that illustrate this fact. Intriguingly, the procedures described are manifestly non-local, which demonstrates that the correlations needed to observe the violation of this principle can be created without direct interactions between particles.

Original languageEnglish
Article number606
Pages (from-to)1-6
JournalEntropy
Volume20
Issue number8
DOIs
Publication statusPublished - 1 Aug 2018
MoE publication typeA1 Journal article-refereed

Keywords

  • Controlled-NOT
  • Entanglement
  • Non-locality
  • Parity measurements
  • Pigeonhole principle

Fingerprint Dive into the research topics of 'Non-local parity measurements and the quantum pigeonhole effect'. Together they form a unique fingerprint.

  • Projects

    Finnish Centre of Excellence in Quantum Technology

    Paraoanu, G., Lan, D., Dogra, S., McCord, J. & Petrovnin, K.

    01/01/201831/12/2020

    Project: Academy of Finland: Other research funding

    Cite this