QUANT-PHNov 23, 2022
SnCQA: A hardware-efficient equivariant quantum convolutional circuit architectureHan Zheng, Christopher Kang, Gokul Subramanian Ravi et al. · mit
We propose SnCQA, a set of hardware-efficient variational circuits of equivariant quantum convolutional circuits respective to permutation symmetries and spatial lattice symmetries with the number of qubits $n$. By exploiting permutation symmetries of the system, such as lattice Hamiltonians common to many quantum many-body and quantum chemistry problems, Our quantum neural networks are suitable for solving machine learning problems where permutation symmetries are present, which could lead to significant savings of computational costs. Aside from its theoretical novelty, we find our simulations perform well in practical instances of learning ground states in quantum computational chemistry, where we could achieve comparable performances to traditional methods with few tens of parameters. Compared to other traditional variational quantum circuits, such as the pure hardware-efficient ansatz (pHEA), we show that SnCQA is more scalable, accurate, and noise resilient (with $20\times$ better performance on $3 \times 4$ square lattice and $200\% - 1000\%$ resource savings in various lattice sizes and key criterions such as the number of layers, parameters, and times to converge in our cases), suggesting a potentially favorable experiment on near-time quantum devices.
33.1QUANT-PHMay 22
Classical State Preparation for Variational Quantum Algorithms via Reinforcement LearningGino Kwun, Dhanvi Bharadwaj, Gokul Subramanian Ravi
Variational Quantum Algorithms (VQAs) potentially offer a pathway to practical quantum advantage, but their optimization is heavily hindered by barren plateaus and numerous local minima. While classically simulable Clifford circuits can warm-start VQAs to accelerate convergence, existing heuristic-based initialization methods struggle to scale within vast combinatorial search spaces. To overcome this bottleneck, we propose CRiSP (a Clifford Reinforcement Learning agent for State Preparation), a framework that formulates discrete prefix selection as a sequential decision-making problem. CRiSP utilizes Neural-Guided Monte Carlo Tree Search, driven by a Transformer-based policy trained via self-play, to insert learned Clifford gates before fixed parameterized rotations. This enables the construction of high-quality initial states entirely through polynomial-time classical stabilizer simulation without altering the underlying circuit architecture. By integrating a curriculum learning strategy that progressively expands the search horizon, the agent efficiently scales to deep circuits. Evaluated on QAOA benchmarks of up to $22$ qubits and $1{,}370$ parameters, CRiSP outperforms state-of-the-art Clifford initialization methods by a mean of $3.17\times$ (max $45.02\times$) in average energy accuracy and $2.44\times$ (max $16.01\times$) in best-achieved energy accuracy. Assessments on VQE tasks further demonstrate the framework's robustness and generalizability.
98.7QUANT-PHMay 4
Mitigating Classical Resource Costs in Quantum Error Correction via Generalized qLDPC PredecodingAlexander Knapen, Junyi Luo, Guanchen Tao et al.
Quantum-classical interfaces (QCIs) for fault-tolerant quantum computing must manage simultaneous, real-time decoding across thousands to millions of logical qubits. Scaling these architectures necessitates sharing expensive decoding resources among logical qubits, which introduces severe resource contention within the QCI. While resolving these bottlenecks through efficient resource distribution remains a persistent challenge, lightweight predecoding holds promise to alleviate strain on shared decoding components by decreasing average latency and decoder usage. Notably, research into both decoder allocation and predecoding has been strictly confined to the surface code. With the growing emphasis on general quantum low-density parity-check (qLDPC) codes, slower decoding speeds will intensify resource contention, while the inherent complexity of these codes will render manual predecoder design unfeasible. To address this gap, we introduce an automated framework designed to generate predecoders for arbitrary qLDPC codes. These automatically constructed predecoders autonomously process over 90% of the decoding workload, cutting overall decoder utilization by up to 3,963x. This includes a reduction of up to 72.71% in computationally demanding ordered statistics decoding (OSD). Furthermore, we detail a highly efficient, pipelined hardware design that allows for the concurrent decoding of approximately 1,200 bivariate bicycle (BB) code logical qubits using a single FPGA. When implemented as a cryogenic ASIC, the architecture scales to support between 36,000 and 360,000 BB code logical qubits, operating within a 1.5 W power limit at 4 K.