Nonlocal Measurements via Quantum Erasure

Aharon Brodutch, Eliahu Cohen

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


Nonlocal observables play an important role in quantum theory, from Bell inequalities and various postselection paradoxes to quantum error correction codes. Instantaneous measurement of these observables is known to be a difficult problem, especially when the measurements are projective. The standard von Neumann Hamiltonian used to model projective measurements cannot be implemented directly in a nonlocal scenario and can, in some cases, violate causality. We present a scheme for effectively generating the von Neumann Hamiltonian for nonlocal observables without the need to communicate and adapt. The protocol can be used to perform weak and strong (projective) measurements, as well as measurements at any intermediate strength. It can also be used in practical situations beyond nonlocal measurements. We show how the protocol can be used to probe a version of Hardy's paradox with both weak and strong measurements. The outcomes of these measurements provide a nonintuitive picture of the pre- and postselected system. Our results shed new light on the interplay between quantum measurements, uncertainty, nonlocality, causality, and determinism.

Original languageEnglish
Article number070404
JournalPhysical Review Letters
Issue number7
StatePublished - 19 Feb 2016
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2016 American Physical Society.


Dive into the research topics of 'Nonlocal Measurements via Quantum Erasure'. Together they form a unique fingerprint.

Cite this