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Quantum computing with trapped ions: principles, achievements, and prospects

 a, b,  a, b,  a, b,  a, b,  a, b,  a, b,  a, b,  a, b,  a, b,  a, b,  a, b,  a, b, †  a, b
a Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation
b International Center for Quantum Optics and Quantum Technologies (the Russian Quantum Center), Skolkovo Innovation Center, Bolshoi Boulevard, Building 30, Block 1, 3rd floor, sectors G3, G7, Moscow, Moscow Region, 121205, Russian Federation

Ultracold ions are among the most thriving physical platforms in the field of quantum computing: the long coherence time and the high gate fidelity lead in quantum volume (221) over other systems, including the superconducting platform (whose maximum demonstrated quantum volume is 29). Ion quantum computers have allowed implementing the deepest benchmarking algorithms to date and successfully demonstrating error correction codes, which opens up the prospect of moving from the current era of noisy quantum processors (NISQ) to the next era. In Russia, the field of ion quantum computers began to actively develop with the "Quantum Computing" Roadmap launched in 2020. In this review, we present the basic principles of operation of an ion quantum computer and discuss recent achievements in this area worldwide, along with the main results of our group obtained in implementing the Roadmap.

Fulltext pdf (5 MB)
Fulltext is also available at DOI: 10.3367/UFNe.2024.12.039884
Keywords: quantum computing, ions, Paul traps, qudits, quantum computers, surface traps
PACS: 03.67.−a, 03.67.Lx, 32.30.−r, 37.10.De, 37.10.Ty, 42.62.Fi (all)
DOI: 10.3367/UFNe.2024.12.039884
URL: https://ufn.ru/en/articles/2025/6/c/
001570951300002
2-s2.0-105011687031
2025PhyU...68..552Z
Citation: Zalivako I V, Semenin N V, Zhadnov N O, Galstyan K P, Kamenskikh P A, Smirnov V N, Korolkov Andrey Evgenyevich, Sidorov Pavel Leonidovich, Borisenko A S, Anosov Yu P, Semerikov I A, Khabarova K Yu, Kolachevsky N N "Quantum computing with trapped ions: principles, achievements, and prospects" Phys. Usp. 68 552–583 (2025)
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Received: 9th, December 2024, 9th, December 2024

Îðèãèíàë: Çàëèâàêî È Â, Ñåìåíèí Í Â, Æàäíîâ Í Î, Ãàëñòÿí Ê Ï, Êàìåíñêèõ Ï À, Ñìèðíîâ Â Í, Êîðîëüêîâ À Å, Ñèäîðîâ Ï Ë, Áîðèñåíêî À Ñ, Àíîñîâ Þ Ï, Ñåìåðèêîâ È À, Õàáàðîâà Ê Þ, Êîëà÷åâñêèé Í Í «Êâàíòîâûå âû÷èñëåíèÿ íà  èîíàõ â ëîâóøêàõ: ïðèíöèïû, äîñòèæåíèÿ è ïåðñïåêòèâû» ÓÔÍ 195 585–620 (2025); DOI: 10.3367/UFNr.2024.12.039884

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