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Quantum circuits are considered more powerful than classical circuits and require exponential resources to simulate classically. Clifford circuits are a special class of quantum circuits that can be simulated in polynomial time but still…

Quantum Physics · Physics 2025-12-09 Yuchen Pang , Edgar Solomonik

Graph states are a key resource for measurement-based quantum computation and quantum networking, but state-preparation costs limit their practical use. Graph states related by local complement (LC) operations are equivalent up to…

Quantum Physics · Physics 2026-04-01 Nicholas Connolly , Shin Nishio , Dan E. Browne , William John Munro , Kae Nemoto

Executing large quantum circuits is not feasible using the currently available NISQ (noisy intermediate-scale quantum) devices. The high costs of using real quantum devices make it further challenging to research and develop quantum…

Quantum Physics · Physics 2025-02-18 Kartikey Sarode , Daniel E. Huang , E. Wes Bethel

Quantum Approximate Optimization Algorithms (QAOA) have demonstrated a strong potential in addressing graph-based optimization problems. However, the execution of large-scale quantum circuits remains constrained by the limitations of…

Quantum Physics · Physics 2025-06-11 Vicente P. Soloviev , Antonio Márquez Romero , Josh Kirsopp , Michal Krompiec

Circuit cutting is a technique for simulating large quantum circuits by partitioning them into smaller subcircuits, which can be executed on smaller quantum devices. The results from these subcircuits are then combined in classical…

Quantum Physics · Physics 2025-06-27 Christophe Piveteau , Lukas Schmitt , David Sutter

Circuit knitting, a method for connecting quantum circuits across multiple processors to simulate nonlocal quantum operations, is a promising approach for distributed quantum computing. While various techniques have been developed for…

Quantum Physics · Physics 2024-08-22 Mingrui Jing , Chengkai Zhu , Xin Wang

Quantum computing (QC) offers a new computing paradigm that has the potential to provide significant speedups over classical computing. Each additional qubit doubles the size of the computational state space available to a quantum…

Quantum Physics · Physics 2022-05-13 Wei Tang , Margaret Martonosi

Quantum computing is currently strongly limited by the impact of noise, in particular introduced by the application of two-qubit gates. For this reason, reducing the number of two-qubit gates is of paramount importance on noisy…

Distributed quantum computing is motivated by the difficulty in building large-scale, individual quantum computers. To solve that problem, a large quantum circuit is partitioned and distributed to small quantum computers for execution.…

Quantum Physics · Physics 2023-10-09 Marc Grau Davis , Joaquin Chung , Dirk Englund , Rajkumar Kettimuthu

Recent works have demonstrated that large quantum circuits can be cut and decomposed into smaller clusters of quantum circuits with fewer qubits that can be executed independently on a small quantum computer. Classical post-processing then…

Quantum Physics · Physics 2022-11-15 Gideon Uchehara , Tor M. Aamodt , Olivia Di Matteo

Compilation and optimization of quantum circuits are critical components in the execution of algorithms on quantum computers. These components must successfully balance two competing priorities: minimizing the number of expensive resources,…

Distributing quantum workloads over many Quantum Processing Units (QPUs) is a crucial step in scaling up quantum computers toward practical quantum advantage due to the limitations in size of a single QPU. In the absence of high-fidelity…

State-of-the-art quantum computers can only reliably execute circuits with limited qubit numbers and computational depth. This severely reduces the scope of algorithms that can be run. While numerous techniques have been invented to exploit…

Quantum Physics · Physics 2023-12-25 Adrián Pérez-Salinas , Radoica Draškić , Jordi Tura , Vedran Dunjko

Quantum computing introduces the challenge of optimizing quantum resources crucial for executing algorithms within the limited qubit availability of current quantum architectures. Existing qubit reuse algorithms face a trade-off between…

Quantum Physics · Physics 2024-10-14 Gideon Uchehara , Tor M. Aamodt , Olivia Di Matteo

Mapping a quantum algorithm to any practical large-scale quantum computer will require a sequence of compilations and optimizations. At the level of fault-tolerant encoding, one likely requirement of this process is the translation into a…

Quantum Physics · Physics 2020-11-13 Michael Hanks , Marta P. Estarellas , William J. Munro , Kae Nemoto

Quantum optimization as a field has largely been restricted by the constraints of current quantum computing hardware, as limitations on size, performance, and fidelity mean most non-trivial problem instances won't fit on quantum devices.…

Quantum Physics · Physics 2024-05-03 Ibrahim Cameron , Teague Tomesh , Zain Saleem , Ilya Safro

Quantum computing holds immense potential for solving classically intractable problems by leveraging the unique properties of quantum mechanics. The scalability of quantum architectures remains a significant challenge. Multi-core quantum…

Quantum Physics · Physics 2024-07-25 Arnau Pastor , Pau Escofet , Sahar Ben Rached , Eduard Alarcón , Pere Barlet-Ros , Sergi Abadal

Optimising quantum circuits to minimise resource usage is crucial, especially with near-term hardware limited by quantum volume. This paper introduces an optimisation algorithm aiming to minimise non-Clifford gate count and two-qubit gate…

Quantum Physics · Physics 2024-01-29 Calum Holker

Quantum circuit cutting refers to a series of techniques that allow one to partition a quantum computation on a large quantum computer into several quantum computations on smaller devices. This usually comes at the price of a sampling…

Quantum Physics · Physics 2025-12-09 Marco Schumann , Tobias Stollenwerk , Alessandro Ciani

To demonstrate supremacy of quantum computing, increasingly large-scale superconducting quantum computing chips are being designed and fabricated. However, the complexity of simulating quantum systems poses a significant challenge to…

Quantum Physics · Physics 2025-07-25 Hao Ai , Yu-xi Liu