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Quantum computers promise to outperform their classical counterparts at certain tasks. However, existing quantum devices are error-prone and restricted in size. Thus, effective compilation methods are crucial to exploit limited quantum…

Optimization and Control · Mathematics 2025-07-17 Moritz Stargalla , Friedrich Wagner

We present a quantum circuit implementation of the quantum hashing algorithm (quantum fingerprinting) for a quantum device with restrictions on the application of two-qubit gates by a qubit connectivity graph. We present an optimization…

Quantum Physics · Physics 2026-05-21 Kamil Khadiev , Ilnur Valeev

Quantum computers have the potential to outperform classical computers, but are currently limited in their capabilities. One such limitation is the restricted connectivity between qubits, as captured by the hardware's coupling graph. This…

Quantum Physics · Physics 2023-06-09 Joris Kattemölle , Seenivasan Hariharan

Quantum algorithms based on variational approaches are one of the most promising methods to construct quantum solutions and have found a myriad of applications in the last few years. Despite the adaptability and simplicity, their…

Quantum router is an essential ingredient in a quantum network. Here, we propose a new quantum circuit for designing quantum router by using IBM's five-qubit quantum computer. We design an equivalent quantum circuit, by the means of…

Quantum Physics · Physics 2019-09-17 Bikash K. Behera , Tasnum Reza , Angad Gupta , Prasanta K. Panigrahi

We consider the problem of mapping a logical quantum circuit onto a given hardware with limited two-qubit connectivity. We model this problem as an integer linear program, using a network flow formulation with binary variables that includes…

Quantum Physics · Physics 2021-07-27 Giacomo Nannicini , Lev S Bishop , Oktay Gunluk , Petar Jurcevic

A quantum network promises to enable long distance quantum communication, and assemble small quantum devices into a large quantum computing cluster. Each network node can thereby be seen as a small few qubit quantum computer. Qubits can be…

Networking and Internet Architecture · Computer Science 2016-10-18 Eddie Schoute , Laura Mancinska , Tanvirul Islam , Iordanis Kerenidis , Stephanie Wehner

To evaluate a quantum circuit on a quantum processor, one must find a mapping from circuit qubits to processor qubits and plan the instruction execution while satisfying the processor's constraints. This is known as the qubit mapping and…

Programming Languages · Computer Science 2026-01-22 Abtin Molavi , Amanda Xu , Ethan Cecchetti , Swamit Tannu , Aws Albarghouthi

Current quantum devices typically lack full qubit connectivity, making it difficult to directly execute logical circuits on quantum devices. This limitation necessitates quantum circuit mapping algorithms to insert SWAP gates, dynamically…

Quantum Physics · Physics 2025-03-11 Kang Xu , Yukun Wang , Dandan Li

Quantum circuit optimization is a central task in Quantum Computing, as current Noisy Intermediate Scale Quantum devices suffer from error propagation that often scales with the number of operations. Among quantum operations, the CNOT gate…

Artificial Intelligence · Computer Science 2026-04-16 Jacopo Cossio , Daniele Lizzio Bosco , Riccardo Romanello , Giuseppe Serra , Carla Piazza

The practical use of many types of near-term quantum computers requires accounting for their limited connectivity. One way of overcoming limited connectivity is to insert swaps in the circuit so that logical operations can be performed on…

Quantum Physics · Physics 2019-05-14 Bryan O'Gorman , William J. Huggins , Eleanor G. Rieffel , K. Birgitta Whaley

In some physical implementations of quantum computers, 2-qubit operations can be applied only on certain pairs of qubits. Compilation of a quantum circuit into one compliant to such qubit connectivity constraint results in an increase of…

Quantum Physics · Physics 2025-06-04 Pei Yuan , Shengyu Zhang

We study the routing of quantum information in qubit chains. This task is achieved by suitably chosen time-dependent local fields acting on the qubits. Employing the physics of coherent destruction of tunneling, we demonstrate that a…

Quantum Physics · Physics 2010-08-31 David Zueco , Fernando Galve , Sigmund Kohler , Peter Hänggi

While there is a general consensus about the structure of one qubit operations in topological quantum computer, two qubits are as usual a more difficult and complex story of different attempts with varying approaches, problems and…

Quantum Physics · Physics 2025-09-15 Sergey Mironov , Andrey Morozov

Scalable quantum information processing will require quantum networks of qubits with the ability to coherently transfer quantum states between the desired sender and receiver nodes. Here we propose a scheme to implement a quantum router…

Quantum Physics · Physics 2020-01-08 K. S. Christensen , S. E. Rasmussen , D. Petrosyan , N. T. Zinner

There are various gate sets that can be used to describe a quantum computation. A particularly popular gate set in the literature on quantum computing consists of arbitrary single-qubit gates and 2-qubit CNOT gates. A CNOT gate is however…

Quantum Physics · Physics 2022-09-05 John van de Wetering

We propose quantum neural networks that include multi-qubit interactions in the neural potential leading to a reduction of the network depth without losing approximative power. We show that the presence of multi-qubit potentials in the…

Quantum Physics · Physics 2023-06-06 Yue Ban , E. Torrontegui , J. Casanova

Qubit routing is a fundamental problem in quantum compilation, known to be NP-hard. Its dynamic nature makes local routing decisions propagate and compound over time, making global efficient solutions challenging. Existing heuristic methods…

Quantum Physics · Physics 2026-05-13 Kien X. Nguyen , Ankit Kulshrestha , Ilya Safro , Xiaoyuan Liu

We introduce a new architecture-agnostic methodology for mapping abstract quantum circuits to realistic quantum computing devices with restricted qubit connectivity, as implemented by Cambridge Quantum Computing's tket compiler. We present…

We show a significant reduction of the number of quantum operations and the improvement of the circuit depth for the realization of the Toffoli gate by using qudits. This is done by establishing a general relation between the dimensionality…

Quantum Physics · Physics 2020-02-12 E. O. Kiktenko , A. S. Nikolaeva , Peng Xu , G. V. Shlyapnikov , A. K. Fedorov