HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Quantum superiority for verifying NP-complete problems with linear optics

Abstract : Demonstrating quantum superiority for some computational task will be a milestone for quantum technologies and would show that computational advantages are possible not only with a universal quantum computer but with simpler physical devices. Linear optics is such a simpler but powerful platform where classically-hard information processing tasks, such as Boson Sampling, can be in principle implemented. In this work, we study a fundamentally different type of computational task to achieve quantum superiority using linear optics, namely the task of verifying NP-complete problems. We focus on a protocol by Aaronson et al. (2008) that uses quantum proofs for verification. We show that the proof states can be implemented in terms of a single photon in an equal superposition over many optical modes. Similarly, the tests can be performed using linear-optical transformations consisting of a few operations: a global permutation of all modes, simple interferometers acting on at most four modes, and measurement using single-photon detectors. We also show that the protocol can tolerate experimental imperfections.
Document type :
Journal articles
Complete list of metadata

https://hal.sorbonne-universite.fr/hal-01671939
Contributor : Eleni Diamanti Connect in order to contact the contributor
Submitted on : Friday, December 22, 2017 - 5:36:52 PM
Last modification on : Tuesday, January 4, 2022 - 3:56:31 AM

Links full text

Identifiers

Citation

Juan Miguel Arrazola, Eleni Diamanti, Iordanis Kerenidis. Quantum superiority for verifying NP-complete problems with linear optics. npj Quantum Information, Nature, 2018, ⟨10.1038/s41534-018-0103-1⟩. ⟨hal-01671939⟩

Share

Metrics

Record views

83