Phys.org October 28, 2022
Researchers in Austria have developed a universal gate set for quantum computing with all-to-all connectivity and intrinsic robustness to bit-flip errors based on parity encoding. They showed that logical controlled phase gate and Rz rotations can be implemented in parity encoding with single-qubit operations. Together with logical Rx rotations, implemented via nearest-neighbor controlled-NOT gates and an Rx rotation, these form a universal gate set. As the controlled phase gate requires only single-qubit rotations, the proposed scheme has advantages for several cornerstone quantum algorithms, e.g., the quantum Fourier transform. They presented a method to switch between different encoding variants via partial on-the-fly encoding and decoding. They demonstrated the applicability of a universal gate set in the parity encoding, which is a dual to the standard gate model, by exploring several quantum gate algorithms such as the quantum Fourier transform and quantum addition. According to the researchers embedding these algorithms in the parity encoding reduces the circuit depth compared to conventional gate-based implementations while keeping the multiqubit gate counts comparable….read more. Open Access TECHNICAL ARTICLE  1 , 2
Illustration of the modified LHZ architecture with logical lines…. Credit: Phys. Rev. Lett. 129, 180503, 27 October 2022Â