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In numerical approaches to solving differential equations on a lattice, a representation of the derivative operator that correctly matches the continuum behaviour of functions of momentum up to the band limit must be non-local. We present…

Block encoding severs as an important data input model in quantum algorithms, enabling quantum computers to simulate non-unitary operators effectively. In this paper, we propose an efficient block-encoding protocol for sparse matrices based…

量子物理 · 物理学 2025-07-30 Chunlin Yang , Zexian Li , Hongmei Yao , Zhaobing Fan , Guofeng Zhang , Jianshe Liu

There is no unique way to encode a quantum algorithm into a quantum circuit. With limited qubit counts, connectivity, and coherence times, a quantum circuit optimization is essential to make the best use of near-term quantum devices. We…

This paper presents a systematic comparative analysis of Variational Quantum Classifier (VQC) configurations for financial fraud detection, encompassing three distinct quantum encoding techniques and comprehensive architectural variations.…

In this paper, the problem of constructing an efficient quantum circuit for the implementation of an arbitrary quantum computation is addressed. To this end, a basic block based on the cosine-sine decomposition method is suggested which…

量子物理 · 物理学 2012-09-04 Mehdi Saeedi , Mona Arabzadeh , Morteza Saheb Zamani , Mehdi Sedighi

Quantum state preparation is a fundamental component of quantum algorithms, particularly in quantum machine learning and data processing, where classical data must be encoded efficiently into quantum states. Existing amplitude encoding…

量子物理 · 物理学 2026-02-11 Carsten Blank , Israel F. Araujo

Efficiently uploading data into quantum states is essential for many quantum algorithms to achieve advantage across various applications. In this paper, we address this challenge by developing a method to upload a polynomial function $f(x)$…

量子物理 · 物理学 2026-01-06 Nikita Guseynov , Nana Liu

The resource overhead required to achieve net computational benefits from quantum error correction (QEC) limits its utility while current systems remain constrained in size, despite exceptional progress in experimental demonstrations. In…

Designing efficient quantum circuits is a central bottleneck to exploring the potential of quantum computing, particularly for noisy intermediate-scale quantum (NISQ) devices, where circuit efficiency and resilience to errors are paramount.…

量子物理 · 物理学 2025-10-31 Jun Dai , Michael Rizvi-Martel , Guillaume Rabusseau

The demand for efficient multi-rate encoding techniques has surged with the increasing prevalence of ultra-high-definition (UHD) video content, particularly in adaptive streaming scenarios where a single video must be encoded at multiple…

多媒体 · 计算机科学 2025-10-17 Vignesh V Menon , Adam Wieckowski , Yiquin Liu , Benjamin Bross , Detlev Marpe

With the increasing penetration of renewable energy, frequency response and its security are of significant concerns for reliable power system operations. Frequency-constrained unit commitment (FCUC) is proposed to address this challenge.…

系统与控制 · 电气工程与系统科学 2021-10-14 Yichen Zhang , Hantao Cui , Jianzhe Liu , Feng Qiu , Tianqi Hong , Rui Yao , Fangxing Li

We construct quantum circuits which exactly encode the spectra of correlated electron models up to errors from rotation synthesis. By invoking these circuits as oracles within the recently introduced "qubitization" framework, one can use…

The creation of composite quantum gates that implement quantum response functions $\hat{U}(\theta)$ dependent on some parameter of interest $\theta$ is often more of an art than a science. Through inspired design, a sequence of $L$…

量子物理 · 物理学 2018-02-02 Guang Hao Low , Theodore J. Yoder , Isaac L. Chuang

A functioning quantum computer will be a machine that builds up, in a programmable way, nonclassical correlations in a multipartite quantum system. Linear optics quantum computation (LOQC) is an approach for achieving this function that…

介观与纳米尺度物理 · 物理学 2010-06-09 Luca Chirolli , Guido Burkard , Shwetank Kumar , David P. DiVincenzo

Current and near-term quantum hardware is constrained by limited qubit counts, circuit depth, and the high cost of repeated measurements. We address these challenges for solid state Hamiltonians by introducing a logarithmic-qubit encoding…

量子物理 · 物理学 2026-05-13 Martin Plesch , Martin Friák , Ijaz Ahamed Mohammad

We present a detailed description of an architecture for fault-tolerant quantum computation, which is based on the cluster model of encoded qubits. In this cluster-based architecture, concatenated computation is implemented in a quite…

量子物理 · 物理学 2010-12-30 Keisuke Fujii , Katsuji Yamamoto

Randomisation is widely used in quantum algorithms to reduce the number of quantum gates and ancillary qubits required. A range of randomised algorithms, including eigenstate property estimation by spectral filters, Hamiltonian simulation,…

量子物理 · 物理学 2025-06-19 Jinzhao Sun , Pei Zeng

We construct a protocol for extracting distributed one-qubit quantum information encoded in a stabilizer code of multiple qubits, only by single-qubit local operations and classical communication (LOCC) without global operations or…

量子物理 · 物理学 2024-11-28 Koki Shiraishi , Hayata Yamasaki , Mio Murao

Electronic structure calculations of molecular systems are among the most promising applications for fault-tolerant quantum computing (FTQC) in quantum chemistry and drug design. However, while recent algorithmic advancements such as…

We introduce a versatile method for preparing a quantum state whose amplitudes are given by some known function. Unlike existing approaches, our method does not require handcrafted reversible arithmetic circuits, or quantum table reads, to…

量子物理 · 物理学 2025-07-10 Sam McArdle , András Gilyén , Mario Berta