Eddy Z. Zhang

Xiangyu Gao, Winston Li, Jiakang Li et al.

Simulating fermionic systems on quantum hardware requires compiling fermionic Hamiltonians into executable quantum circuits. Existing approaches treat each compilation stage independently, applying heuristics with localized objectives that produce circuits with superquartic gate count and depth scaling and compilation times reaching several hours for large instances. We present Accordion, an end-to-end framework that co-designs the fermion-to-qubit mapping with circuit synthesis and hardware routing. Accordion fixes the Jordan Wigner mapping, which despite its higher Pauli weight produces Pauli operators with structural regularity that enables provably efficient circuit generation. For full-rank all-to-all electronic structure Hamiltonians, we prove O(N^4) gate count and circuit depth, matching the information-theoretic lower bound imposed by the Theta(N^4) second excitation terms. On linear, IBM heavy-hex, and square-grid architectures, Accordion reduces gate count by up to 79% and circuit depth by up to 77% relative to the best baseline.

Fei Hua, Yuwei Jin, Ang Li et al.

Near-term quantum systems tend to be noisy. Crosstalk noise has been recognized as one of several major types of noises in superconducting Noisy Intermediate-Scale Quantum (NISQ) devices. Crosstalk arises from the concurrent execution of two-qubit gates on nearby qubits, such as \texttt{CX}. It might significantly raise the error rate of gates in comparison to running them individually. Crosstalk can be mitigated through scheduling or hardware machine tuning. Prior scientific studies, however, manage crosstalk at a really late phase in the compilation process, usually after hardware mapping is done. It may miss great opportunities of optimizing algorithm logic, routing, and crosstalk at the same time. In this paper, we push the envelope by considering all these factors simultaneously at the very early compilation stage. We propose a crosstalk-aware quantum program compilation framework called CQC that can enhance crosstalk mitigation while achieving satisfactory circuit depth. Moreover, we identify opportunities for translation from intermediate representation to the circuit for application-specific crosstalk mitigation, for instance, the \texttt{CX} ladder construction in variational quantum eigensolvers (VQE). Evaluations through simulation and on real IBM-Q devices show that our framework can significantly reduce the error rate by up to 6$\times$, with only $\sim$60\% circuit depth compared to state-of-the-art gate scheduling approaches. In particular, for VQE, we demonstrate 49\% circuit depth reduction with 9.6\% fidelity improvement over prior art on the H4 molecule using IBMQ Guadalupe. Our CQC framework will be released on GitHub.