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The ultimate goal of quantum error correction is to create logical qubits with very low error rates (e.g. 1e-12) and assemble them into large-scale quantum computers capable of performing many (e.g. billions) of logical gates on many (e.g.…

Quantum Physics · Physics 2025-11-20 Michael E. Beverland , Malcolm Carroll , Andrew W. Cross , Theodore J. Yoder

Large reasoning models (LRMs) generate intermediate reasoning traces before producing final answers, yielding strong gains on multi-step and mathematical tasks. Yet aligning LRMs with human preferences, a crucial prerequisite for model…

Machine Learning · Computer Science 2025-10-07 Mingkang Zhu , Xi Chen , Bei Yu , Hengshuang Zhao , Jiaya Jia

Recent Progress in post-training flow matching for text-to-image (T2I) generation with Group Relative Policy Optimization (GRPO) has demonstrated strong potential. However, it is hindered by a critical limitation: inaccurate advantage…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Yifu Luo , Haoyuan Sun , Xinhao Hu , Penghui Du , Keyu Fan , Bo Li , Sinan Du , Xu Wan , Zhiyu Chen , Bo Xia , Tiantian Zhang , Yongzhe Chang , Changqian Yu , Kun Gai , Xueqian Wang

Even though large language models are becoming increasingly capable, it is still unreasonable to expect them to excel at tasks that are under-represented on the Internet. Leveraging LLMs for specialized applications, particularly in niche…

Machine Learning · Computer Science 2025-08-18 Brendan R. Hogan , Will Brown , Adel Boyarsky , Anderson Schneider , Yuriy Nevmyvaka

Large language models are increasingly trained via reinforcement learning for personalized recommendation tasks, but standard methods like GRPO rely on sparse, sequence-level rewards. These obscure which tokens actually contribute to…

Artificial Intelligence · Computer Science 2026-05-08 Abhijnan Nath , Alireza Bagheri Garakani , Tianchen Zhou , Fan Yang , Yan Gao , Nikhil Krishnaswamy

We introduce LightSABRE, a significant enhancement of the SABRE algorithm that advances both runtime efficiency and circuit quality. LightSABRE addresses the increasing demands of modern quantum hardware, which can now accommodate complex…

Quantum Physics · Physics 2024-09-16 Henry Zou , Matthew Treinish , Kevin Hartman , Alexander Ivrii , Jake Lishman

Fine-tuning is integral for aligning large language models (LLMs) with human preferences. Multiple-Reference Preference Optimization (MRPO) builds on Direct Preference Optimization (DPO) by fine-tuning LLMs on preference datasets while…

Machine Learning · Computer Science 2025-12-12 Skyler Wu , Aymen Echarghaoui

Generate-then-rank is the dominant test-time scaling (TTS) paradigm for code generation, but scaling accuracy by sampling and executing more candidates makes comprehensive verification a major computational bottleneck. This creates an…

Software Engineering · Computer Science 2026-02-26 Gabriel Orlanski , Nicholas Roberts , Aws Albarghouthi , Frederic Sala

Quantum linear system algorithms (QLSA) have the potential to speed up Interior Point Methods (IPM). However, a major challenge is that QLSAs are inexact and sensitive to the condition number of the coefficient matrices of linear systems.…

Optimization and Control · Mathematics 2023-10-12 Mohammadhossein Mohammadisiahroudi , Zeguan Wu , Brandon Augustino , Arriele Carr , Tamás Terlaky

We present a semidefinite program optimization approach to quantum error correction that yields codes and recovery procedures that are robust against significant variations in the noise channel. Our approach allows us to optimize the…

Quantum Physics · Physics 2009-11-13 R. L. Kosut , A. Shabani , D. A. Lidar

Recent advances in reinforcement learning (RL) using numerical rewards have significantly enhanced the complex reasoning capabilities of large language models (LLMs). However, we identify three fundamental limitations of purely numerical…

Computation and Language · Computer Science 2026-02-23 Xiaoying Zhang , Yipeng Zhang , Hao Sun , Kaituo Feng , Chaochao Lu , Chao Yang , Helen Meng

We introduce a transparent, encoding-agnostic framework for determining when the Capacitated Vehicle Routing Problem (CVRP) can achieve early quantum advantage. Our analysis shows this is unlikely on noisy intermediate scale quantum (NISQ)…

Quantum Physics · Physics 2026-05-20 Chinonso Onah , Kristel Michielsen

We present a depth-aware optimization framework for quantum circuit compilation that unifies provable optimality with scalable heuristics. For exact synthesis of a target unitary, we formulate a mixed-integer linear program (MILP) that…

Quantum Physics · Physics 2025-10-02 Harsha Nagarajan , Zsolt Szabó

Quantum computing promises enabling solving large problem instances, e.g. large linear equation systems with HHL algorithm, once the hardware stack matures. For the foreseeable future quantum computing will remain in the so-called NISQ era,…

Quantum Physics · Physics 2025-01-15 Marc Andreu Marfany , Alona Sakhnenko , Jeanette Miriam Lorenz

Current approaches for strengthening LLM reasoning tend to introduce a training bias toward human-like reasoning trajectories. In step-wise preference optimization, in particular, dependence on human or higher-capacity model annotations for…

Computation and Language · Computer Science 2026-02-03 Junjie Lu , Yuliang Liu , Chaofeng Qu , Wei Shen , Zhouhan Lin , Chuheng Zhang , Min Xu

Many strong decoding methods for text generation follow a sample-and-rerank paradigm: they draw multiple candidates, score each under a utility (reward) function using consensus across samples, and return the best one. Although effective,…

Machine Learning · Computer Science 2026-02-04 Yuki Ichihara , Yuu Jinnai , Kaito Ariu , Eiji Uchibe

Quantum algorithms often apply classical operations, such as arithmetic or predicate checks, over a quantum superposition of classical data; these so-called oracles are often the largest components of a quantum program. To ease the…

Quantum Physics · Physics 2022-04-21 Liyi Li , Finn Voichick , Kesha Hietala , Yuxiang Peng , Xiaodi Wu , Michael Hicks

Prompt optimization is a practical and widely applicable alternative to fine tuning for improving large language model performance. Yet many existing methods evaluate candidate prompts by sampling full outputs, often coupled with self…

Computation and Language · Computer Science 2025-09-19 Chenzhuo Zhao , Ziqian Liu , Xinda Wang , Junting Lu , Chaoyi Ruan

Vigorous optimization of quantum gates has led to bipotent quantum architectures, where the optimized gates are available for some qubits but not for others. However, such gate-level improvements limit the application of user-side…

Quantum Physics · Physics 2023-08-21 Yanjun Ji , Kathrin F. Koenig , Ilia Polian

Quantum algorithms can be used to perform unsupervised machine learning tasks like data clustering by mapping the distance between data points to a graph optimization problem (i.e. MAXCUT) and finding optimal solution through energy…

Quantum Physics · Physics 2022-02-08 Daniel Beaulieu , Anh Pham