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We investigate the performance of penalty-based quantum annealing (PQA) and constrained quantum annealing (CQA) in solving the graph partitioning problem under various noise models, including depolarizing, bit-flip, and phase-flip noise. We…

量子物理 · 物理学 2024-10-24 Ryoya Igata , Myonsok I , Yuya Seki , Yuta Mizuno , Shohei Watabe

Quantum error correcting codes enable the information contained in a quantum state to be protected from decoherence due to external perturbations. Applied to NMR, quantum coding does not alter normal relaxation, but rather converts the…

Methods to control errors will be essential for quantum information processing. It is widely believed that fault-tolerant quantum error correction is the leading contender to achieve this goal. Although the theory of fault-tolerant quantum…

量子物理 · 物理学 2011-03-24 Ben Criger , Osama Moussa , Raymond Laflamme

Quantum computing holds transformative potential for various fields, yet its practical application is hindered by the susceptibility to errors. This study makes a pioneering contribution by applying quantum error correction codes (QECCs)…

量子物理 · 物理学 2024-04-23 Avimita Chatterjee , Debarshi Kundu , Swaroop Ghosh

Leakage errors, in which a qubit is excited to a level outside the qubit subspace, represent a significant obstacle in the development of robust quantum computers. We present a computationally efficient simulation methodology for studying…

量子物理 · 物理学 2025-01-22 Hidetaka Manabe , Yasunari Suzuki , Andrew S. Darmawan

Quantum annealing (QA) has been proposed as a quantum enhanced optimization heuristic exploiting tunneling. Here, we demonstrate how finite range tunneling can provide considerable computational advantage. For a crafted problem designed to…

While topological quantum computation is intrinsically fault-tolerant at zero temperature, it loses its topological protection at any finite temperature. We present a scheme to protect the information stored in a system supporting…

量子物理 · 物理学 2017-08-22 Guillaume Dauphinais , David Poulin

While adiabatic quantum computing (AQC) has some robustness to noise and decoherence it is widely believed that encoding, error suppression and error correction will be required to scale AQC to large problem sizes. Previous works have…

量子物理 · 物理学 2014-01-06 Mohan Sarovar , Kevin C. Young

In the current Noisy Intermediate Scale Quantum (NISQ) era of quantum computing, qubit technologies are prone to imperfections, giving rise to various errors such as gate errors, decoherence/dephasing, measurement errors, leakage, and…

量子物理 · 物理学 2024-02-22 Avimita Chatterjee , Koustubh Phalak , Swaroop Ghosh

We study algorithms inspired by quantum annealing that are suited for the NISQ era. First, we analyze approximate quantum annealing (AQA), which employs a discretized annealing ansatz in which the time step and the number of layers are…

Superconducting qubits, while promising for scalability and long coherence times, contain more than two energy levels, and therefore are susceptible to errors generated by the leakage of population outside of the computational subspace.…

量子物理 · 物理学 2015-02-23 Joydip Ghosh , Austin G. Fowler

Quantum annealing (QA) and Quantum Alternating Operator Ansatz (QAOA) are both heuristic quantum algorithms intended for sampling optimal solutions of combinatorial optimization problems. In this article we implement a rigorous direct…

量子物理 · 物理学 2023-08-31 Elijah Pelofske , Andreas Bärtschi , Stephan Eidenbenz

Blind Quantum Computation (BQC) is a delegation computing protocol that allows a client to utilize a remote quantum server to implement desired quantum computations while keeping her inputs, outputs, and algorithms private. However, qubit…

量子物理 · 物理学 2023-03-07 Qiang Zhao , John C. S. Lui

Using a specially constructed set of hard 2-SAT problems with four satisfying assignments, we study the scaling and sampling performance of numerical simulation of quantum annealing as well as that of the physical quantum annealers offered…

量子物理 · 物理学 2025-11-04 Vrinda Mehta , Hans De Raedt , Kristel Michielsen , Fengping Jin

Scaling quantum computing to practical applications necessitates reliable quantum error correction. Although numerous correction codes have been proposed, the overall correction efficiency critically limited by the decode algorithms. We…

量子物理 · 物理学 2025-06-04 Gengyuan Hu , Wanli Ouyang , Chao-Yang Lu , Chen Lin , Han-Sen Zhong

We present \emph{multi-qubit correction} (MQC) as a novel postprocessing method for quantum annealers that views the evolution in an open-system as a Gibbs sampler and reduces a set of excited states to a new synthetic state with lower…

量子物理 · 物理学 2021-07-13 Ramin Ayanzadeh , John Dorband , Milton Halem , Tim Finin

A critical milestone for quantum computers is to demonstrate fault-tolerant computation that outperforms computation on physical qubits. The tesseract subsystem color code protects four logical qubits in 16 physical qubits, to distance…

Adiabatic quantum annealers encounter scalability challenges due to exponentially fast diminishing energy gaps between ground and excited states with qubit-count increase. This introduces errors in identifying ground states compounded by a…

量子物理 · 物理学 2024-05-29 Jeung Rac Lee , June-Koo Kevin Rhee , Changjun Kim , Bo Hyun Choi

The application of quantum annealing to the optimization of continuous-variable functions is a relatively unexplored area of research. We test the performance of quantum annealing applied to a one-dimensional continuous-variable function…

量子物理 · 物理学 2023-10-06 Shunta Arai , Hiroki Oshiyama , Hidetoshi Nishimori

Quantum annealing is an emerging metaheuristic used for solving combinatorial optimisation problems. However, hardware based physical quantum annealers are primarily limited to a single vendor. As an alternative, we can discretise the…

量子物理 · 物理学 2023-07-20 Ameya Bhave , Ajinkya Borle