The design of quantum algorithms typically assumes the availability of an ideal quantum computer, characterized by full connectivity, noiseless operation, and unlimited coherence time. However, Noisy Intermediate-Scale Quantum (NISQ) devices present a stark contrast, with a limited number of qubits, non-negligible quantum operation errors, and stringent constraints on the connectivity of physical qubits within a Quantum Processing Unit (QPU). This necessitates the dynamic remapping of logical qubits to physical qubits within the compiler to facilitate the execution of two-qubit gates in the algorithm. However, this introduces additional operations, consequently reducing the fidelity of the algorithm. Therefore, minimizing the number of added gates becomes crucial. Finding such an optimal routing problem is NP-hard, and the task is conventionally addressed using human-crafted heuristics to search for SWAP sequences, but these lack performance guarantees. In this study, we employ a Seq2Seq machine learning model for the qubit routing task, incorporating a Transformer neural network to learn the routing information in the gate and SWAP sequence. Compared to heuristic search-based algorithms, our approach significantly reduces the overhead of quantum computing resources required to adapt logical circuits to physical circuits executable on specific quantum backend hardware.

Noise is a significant obstacle to quantum computing, and ZZ crosstalk is one of the most destructive types of noise affecting superconducting qubits. Previous approaches to suppressing ZZ crosstalk have mainly relied on specific chip design that can complicate chip fabrication and aggravate decoherence. To some extent, special chip design can be avoided by relying on pulse optimization to suppress ZZ crosstalk. However, existing approaches are non-scalable, as their required time and memory grow exponentially with the number of qubits involved.

The hippocampus plays a critical role in the rapid learning of new episodic memories. Many computational models propose that the hippocampus is an autoassociator that relies on Hebbian learning (i.e., "cells that fire together, wire together"). However, Hebbian learning is computationally suboptimal as it does not learn in a way that is driven toward, and limited by, the objective of achieving effective retrieval. Thus, Hebbian learning results in more interference and a lower overall capacity. Our previous computational models have utilized a powerful, biologically plausible form of error-driven learning in hippocampal CA1 and entorhinal cortex (EC) (functioning as a sparse autoencoder) by contrasting local activity states at different phases in the theta cycle. Based on specific neural data and a recent abstract computational model, we propose a new model called Theremin (Total Hippocampal ERror MINimization) that extends error-driven learning to area CA3-the mnemonic heart of the hippocampal system. In the model, CA3 responds to the EC monosynaptic input prior to the EC disynaptic input through dentate gyrus (DG), giving rise to a temporal difference between these two activation states, which drives error-driven learning in the EC→CA3 and CA3↔CA3 projections. In effect, DG serves as a teacher to CA3, correcting its patterns into more pattern-separated ones, thereby reducing interference. Results showed that Theremin, compared with our original Hebbian-based model, has significantly increased capacity and learning speed. The model makes several novel predictions that can be tested in future studies.

As current Noisy Intermediate Scale Quantum (NISQ) devices suffer from decoherence errors, any delay in the instruction execution of quantum control microarchitecture can lead to the loss of quantum information and incorrect computation results. Hence, it is crucial for the control microarchitecture to issue quantum operations to the Quantum Processing Unit (QPU) in time. As in classical microarchitecture, parallelism in quantum programs needs to be exploited for speedup. However, three challenges emerge in the quantum scenario: 1) the quantum feedback control can introduce significant pipeline stall latency; 2) timing control is required for all quantum operations; 3) QPU requires a deterministic operation supply to prevent the accumulation of quantum errors.