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In Layout Synthesis, the logical qubits of a quantum circuit are mapped to the physical qubits of a given quantum hardware platform, taking into account the connectivity of physical qubits. This involves inserting SWAP gates before an…

Quantum Physics · Physics 2023-09-29 Irfansha Shaik , Jaco van de Pol

A quadratic assignment problem (QAP) is a combinatorial optimization problem that belongs to the class of NP-hard ones. So, it is difficult to solve in the polynomial time even for small instances. Research on the QAP has thus focused on…

Neural and Evolutionary Computing · Computer Science 2020-07-30 Zohreh Raziei , Reza Tavakkoli-Moghaddam , Siavash Tabrizian

In this work, we explore and propose several quantum circuit mapping strategies to optimize qubit shuttling in scalable quantum computing architectures based on silicon spin qubits. Our goal is to minimize phase errors introduced during…

The quantum layout and the mapping of logical to physical qubits are crucial in quantum circuit synthesis for a real quantum computer. Circuits that include large $n$-bit Toffoli gates ($n \geq 3$), such as those designed from…

Quantum Physics · Physics 2026-01-07 Sonia Yang , Ali Al-Bayaty , Marek Perkowski

Scalable qubit mapping and routing remain major bottlenecks in quantum compilation, especially for Trapped-Ion Quantum Charge-Coupled device (TI-QCCD) architectures, where qubit interactions require physically shuttling ions under strict…

Quantum Physics · Physics 2026-05-12 Brent Russon , Bao Bach , Ed Younis , Ilya Safro

While showing great promise, circuit synthesis techniques that combine numerical optimization with search over circuit structures face scalability challenges due to a large number of parameters, exponential search spaces, and complex…

Quantum Physics · Physics 2022-08-22 Ethan Smith , Marc G. Davis , Jeffrey Larson , Ed Younis , Costin Iancu , Wim Lavrijsen

The limited number of qubits per chip remains a critical bottleneck in quantum computing, motivating the use of distributed architectures that interconnect multiple quantum processing units (QPUs). However, executing quantum algorithms…

Quantum Physics · Physics 2026-01-21 Brayden Goldstein-Gelb , Kun Liu , John M. Martyn , Hengyun , Zhou , Yongshan Ding , Yuan Liu

Currently, quantum computing is developing at a high speed because its high parallelism and high computing power bring new solutions to many fields. However, due to chip process technology, it is difficult to achieve full coupling of all…

Quantum Physics · Physics 2022-09-09 Xin-miao Chen , Shi Wang , Yong-jin Ye , Bo Jiang , Yong-zheng Wu

Recent advancements in quantum computing have enabled practical use of quantum error detecting and correcting codes. However, current architectures and future proposals of quantum computer design suffer from limited qubit counts,…

Quantum Physics · Physics 2026-04-14 Cordell Mazzetti , Sayam Sethi , Rich Rines , Pranav Gokhale , Jonathan Mark Baker

Quantum algorithms need to be compiled to respect the constraints imposed by quantum processors, which is known as the mapping problem. The mapping procedure will result in an increase of the number of gates and of the circuit latency,…

Quantum Physics · Physics 2021-07-05 Lingling Lao , Hans van Someren , Imran Ashraf , Carmen G. Almudever

Variational Quantum Algorithms (VQAs) and Quantum Machine Learning (QML) models train a parametrized quantum circuit to solve a given learning task. The success of these algorithms greatly hinges on appropriately choosing an ansatz for the…

Quantum Physics · Physics 2025-02-04 Lorenzo Leone , Salvatore F. E. Oliviero , Lukasz Cincio , M. Cerezo

Quantum computing offers unparalleled computational capabilities but faces significant challenges, including limited qubit counts, diverse hardware topologies, and dynamic noise/error rates, which hinder scalability and reliability.…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-25 Zefan Du , Yanni Li , Zijian Mo , Wenqi Wei , Juntao Chen , Rajkumar Buyya , Ying Mao

The limited capabilities of current quantum hardware significantly constrain the scale of experimental demonstrations of most quantum algorithmic primitives. This makes it challenging to perform benchmarking of the current hardware using…

Quantum Physics · Physics 2024-07-12 Romina Yalovetzky , Pierre Minssen , Dylan Herman , Marco Pistoia

Variational quantum algorithms are believed to be promising for solving computationally hard problems and are often comprised of repeated layers of quantum gates. An example thereof is the quantum approximate optimization algorithm (QAOA),…

Quantum layout synthesis (QLS) is a critical step in quantum program compilation for superconducting quantum computers, involving the insertion of SWAP gates to satisfy hardware connectivity constraints. While previous works have introduced…

Quantum Physics · Physics 2025-03-06 Shuohao Ping , Wan-Hsuan Lin , Daniel Bochen Tan , Jason Cong

Qubit mapping/routing is a critical stage in compilation for both near-term and fault-tolerant quantum computers, yet existing scalable methods typically impose several times the routing overhead in terms of circuit depth or duration. This…

Quantum Physics · Physics 2026-05-05 Zhaohui Yang , Kai Zhang , Xinyang Tian , Xiangyu Ren , Yingjian Liu , Yunfeng Li , Dawei Ding , Jianxin Chen , Yuan Xie

Qubit Mapping is a critical aspect of implementing quantum circuits on real hardware devices. Currently, the existing algorithms for qubit mapping encounter difficulties when dealing with larger circuit sizes involving hundreds of qubits.…

In this paper, we propose a novel method of formulating an NP-hard wireless channel assignment problem as a higher-order unconstrained binary optimization (HUBO), where the Grover adaptive search (GAS) is used to provide a quadratic speedup…

Quantum Physics · Physics 2023-08-02 Yuki Sano , Masaya Norimoto , Naoki Ishikawa

Compiling a given quantum algorithm into a target hardware architecture is a challenging optimization problem. The compiler must take into consideration the coupling graph of physical qubits and the gate operation dependencies. The existing…

Quantum Physics · Physics 2024-02-16 Xiangyu Gao , Yuwei Jin , Minghao Guo , Henry Chen , Eddy Z. Zhang

Recent progress in quantum computing and networking enables high-performance large-scale quantum processors by connecting different quantum modules. Optical quantum systems show advantages in both computing and communications, and…