Design the Quantum Instruction Set with the Cartan Coordinate Analysis Framework
Anbang Wu, Jingwen Leng, Minyi Guo

TL;DR
This paper introduces an analytical framework based on Cartan coordinate analysis for designing quantum instruction sets with nonstandard two-qubit gates, improving efficiency and potentially enhancing quantum advantage.
Contribution
It presents a novel analytical method for incorporating nonstandard gates into quantum instruction sets, reducing design complexity and resource overhead.
Findings
Framework reduces instruction set design time by thousands of times.
Demonstrates lower and upper bounds of conversion costs.
Proposes instruction set designs modeling real quantum processors.
Abstract
Most quantum compiling efforts rely on standard two-qubit basis gates, such as CX and iSWAP, to implement general quantum operations. However, with the advancement of quantum architecture design, more nonstandard two-qubit gates can now be implemented and calibrated on devices. Using these nonstandard gates may improve the performance of quantum computation. Despite this potential, it remains unclear how to efficiently incorporate these nonstandard gates into the quantum instruction set to enhance quantum advantage. To address this, we propose an analytical framework that facilitates the design of quantum instruction sets based on nonstandard gates. Our approach is grounded in the KAK decomposition and an analysis of the Cartan coordinate of two-qubit operations, enabling analytical conversion between any two two-qubit operations. This framework also demonstrates the lower and upper…
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture
