Two Qubit Gate:

IonQ는 MS gate, Quantiuum은 ZZ phase gate를 사용한다.

MS gate와 ZZ phase gate는 서로 컴파일을 통해 상호 변환 가능하다.

qubit encoding:

ionq: hyperfine qubit quantinuum: optical transition qubit

optical qubit이 gate를 구현하기는 더 쉬우나 hyperfine qubit이 fidelity를 더 좋게 가져갈 수 있다. 왜냐하면 hyperfine이 더 정밀하게 컨트롤 가능하기 때문. hyperfine은 ‘*magnetic-field insensitive transition’*을 선택할 수 있기 때문(called clock transition).

구분 Quantinuum IonQ(before Oxford) IonQ(after Oxford)
controll way Laser/Raman Laser/Raman Microwave/EQC
1Q gate Raman Transition Raman Transition Microwave
2Q gate MS gate(optics mediated) MZ gate(optics mediated) EQC base microwave gate
key high fidelity and sophisticated control software reconfigurability integration of hardware and scalability

EQC = Electronic Qubit Control

List of TIQC gate achievement :

Cirac Zoller PhysRevLett.74.4091.pdf

Quantum computation with ions in thermal motion by Sorensen and Molmer

Trapped-ion quantum logic gates based on oscillating magnetic fields by Oxford Ionics

Trapped-ion two-qubit gates with > 99.99% fidelity without ground-state cooling by Oxford Ionics