Experimental ladder proof of Hardy's nonlocality for high-dimensional quantum systems

Lixiang Chen, Wuhong Zhang, Ziwen Wu, Jikang Wang, Robert Fickler, Ebrahim Karimi

Research output: Contribution to journalArticleScientificpeer-review

5 Citations (Scopus)

Abstract

Recent years have witnessed a rapidly growing interest in high-dimensional quantum entanglement for fundamental studies as well as towards novel applications. Therefore, the ability to verify entanglement between physical qudits, d-dimensional quantum systems, is of crucial importance. To show nonclassicality, Hardy's paradox represents "the best version of Bell's theorem" without using inequalities. However, so far it has only been tested experimentally for bidimensional vector spaces. Here, we formulate a theoretical framework to demonstrate the ladder proof of Hardy's paradox for arbitrary high-dimensional systems. Furthermore, we experimentally demonstrate the ladder proof by taking advantage of the orbital angular momentum of high-dimensionally entangled photon pairs. We perform the ladder proof of Hardy's paradox for dimensions 3 and 4, both with the ladder up to the third step. Our paper paves the way towards a deeper understanding of the nature of high-dimensionally entangled quantum states and may find applications in quantum information science.

Original languageEnglish
Article number022115
Number of pages7
JournalPhysical Review A
Volume96
Issue number2
DOIs
Publication statusPublished - 9 Aug 2017
Publication typeA1 Journal article-refereed

Keywords

  • ORBITAL ANGULAR-MOMENTUM
  • ALL ENTANGLED STATES
  • SPIN-S PARTICLES
  • SUPPLEMENTARY ASSUMPTIONS
  • BELL INEQUALITIES
  • TWISTED PHOTONS
  • THEOREM
  • MECHANICS
  • MODES
  • LIGHT

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