Quantifying entanglement in cluster states built with error-prone interactions

Simple item page
dc.contributor.authorQin, Zhangjieen
dc.contributor.authorLee, Woo-Ramen
dc.contributor.authorDeMarco, Brianen
dc.contributor.authorGadway, Bryceen
dc.contributor.authorKotochigova, Svetlanaen
dc.contributor.authorScarola, V. W.en
dc.date.accessioned2021-12-13T15:40:50Zen
dc.date.available2021-12-13T15:40:50Zen
dc.date.issued2021-11-15en
dc.description.abstractMeasurement-based quantum computing is an alternative paradigm to the circuit-based model. This approach can be advantageous in certain scenarios, such as when read-out is fast and accurate, but two-qubit gates realized via inter-particle interactions are slow and can be parallelized to efficiently create a cluster state. However, understanding how two-qubit errors impact algorithm accuracy and developing experimentally viable approaches to characterize cluster-state fidelity are outstanding challenges. Here, we consider one-dimensional cluster states built from controlled phase, Ising, and XY interactions with slow two-qubit error in the interaction strength, consistent with error models of interactions found in a variety of qubit architectures. We detail an experimentally viable teleportation fidelity that offers a measure of the impact of these errors on the cluster state. Our fidelity calculations show that the error has a distinctly different impact depending on the underlying interaction used for the two-qubit entangling gate. In particular, the Ising and XY interactions can allow perfect teleportation through the cluster state even with large errors, but the controlled phase interaction does not. Nonetheless, we find that teleportation through cluster state chains of size N has a maximum two-qubit error for teleportation along a quantum channel that decreases as N-1/2. To enable the construction of larger cluster states, we design lowest-order refocusing pulses for correcting these slow errors in the interaction strength. Our work generalizes to higher-dimensional cluster states and sets the stage for experiments to monitor the growth of entanglement in cluster states built from error-prone interactions.en
dc.description.notesWe thank R. Raussendorf and E. Sela for helpful discussions. All authors acknowledge support from the Air Force Office of Scientific Research Grant No. FA9550-19-1-0272. S.K. acknowledges funding from the Army Research Office Grant No. W911NF-17-1-0563. Z.Q., V.W.S., and W.-R.L. acknowledge support by the Air Force Office of Scientific Research Grant No. FA9550-18-1-0505 and Army Research Office Grant No W911NF-20-1-0013.en
dc.description.sponsorshipAir Force Office of Scientific Research GrantUnited States Department of DefenseAir Force Office of Scientific Research (AFOSR) [FA9550-19-1-0272, FA9550-18-1-0505]; Army Research Office [W911NF-17-1-0563, W911NF-20-1-0013]en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1103/PhysRevResearch.3.043118en
dc.identifier.eissn2643-1564en
dc.identifier.issue4en
dc.identifier.other43118en
dc.identifier.urihttp://hdl.handle.net/10919/106957en
dc.identifier.volume3en
dc.language.isoenen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.titleQuantifying entanglement in cluster states built with error-prone interactionsen
dc.title.serialPhysical Review Researchen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
PhysRevResearch.3.043118.pdf
Size:
3.21 MB
Format:
Adobe Portable Document Format
Description:
Published version
Download

Collections

Scholarly Works, Physics