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Quantum error mitigation (QEM) has emerged as a powerful tool for the extraction of useful quantum information from quantum devices. Here, we introduce the Subspace Noise Tailoring (SNT) algorithm, which efficiently combines the cheap cost…

Quantum simulation is a promising way toward practical quantum advantage, but noise in current quantum hardware poses a significant obstacle. We prove that not only the physical error but also the algorithmic error in a single Trotter step…

量子物理 · 物理学 2025-10-29 Jue Xu , Chu Zhao , Junyu Fan , Qi Zhao

We propose a Clifford noise reduction (CliNR) scheme that provides a reduction of the logical error rate of Clifford circuit with lower overhead than error correction and without the exponential sampling overhead of error mitigation. CliNR…

量子物理 · 物理学 2024-07-10 Nicolas Delfosse , Edwin Tham

We propose several optimizations of the CliNR partial error correction scheme which implements Clifford circuits by consuming a resource state. Errors are corrected by measuring a sequence of Pauli operators that we refer to as the…

量子物理 · 物理学 2025-08-27 Edwin Tham , Nicolas Delfosse

Simulating real-time dynamics under a Hamiltonian is a central goal of quantum information science. While numerous Hamiltonian-simulation quantum algorithms have been proposed, the effects of physical noise have rarely been incorporated…

量子物理 · 物理学 2026-03-13 Keisuke Murota , Synge Todo , Suguru Endo

Modeling and simulation is essential for predicting and verifying the behavior of fabricated quantum circuits, but existing simulation methods are either impractically costly or require an unrealistic simplification of error processes. We…

We present a comprehensive and self-contained framework for the efficient classical simulation of Clifford circuits acting on $d$-dimensional qudits, including realistic Pauli/Weyl noise via stochastic simulation. Our approach uses the…

量子物理 · 物理学 2026-03-26 Nina Brandl , Mykyta Cherniak , Johannes Kofler , Richard Kueng

Classical simulation of noisy quantum circuits is essential for understanding quantum computing experiments. It enables scalable error characterization, analysis of how noise impacts quantum algorithms, and optimized implementations of…

量子物理 · 物理学 2025-04-22 Ashe Miller , Corey Ostrove , Jordan Hines , Robin Blume-Kohout , Kevin Young , Timothy Proctor

The most scalable proposed methods of simulating lattice fermions on noisy quantum computers employ encodings that eliminate nonlocal operators using a constant factor more qubits and a nontrivial stabilizer group. In this work, we…

To address the challenge posed by noise in real quantum devices, quantum error mitigation techniques play a crucial role. These techniques are resource-efficient, making them suitable for implementation in noisy intermediate-scale quantum…

量子物理 · 物理学 2024-11-26 Jordi Pérez-Guijarro , Alba Pagès-Zamora , Javier R. Fonollosa

We propose a computational protocol for quantum simulations of Fermionic Hamiltonians on a quantum computer, enabling calculations which were previously not feasible with conventional encoding and ansatses of variational quantum…

量子物理 · 物理学 2023-03-15 Benchen Huang , Nan Sheng , Marco Govoni , Giulia Galli

The Suzuki-Trotter decomposition, which digitalizes quantum time evolution, provides a promising framework for simulating quantum dynamics on quantum hardware and exploring quantum advantage over classical computation. However, conventional…

量子物理 · 物理学 2025-12-16 Bo Yang , Naoki Negishi

In order to realize fault-tolerant quantum computation, tight evaluation of error threshold under practical noise models is essential. While non-Clifford noise is ubiquitous in experiments, the error threshold under non-Clifford noise…

量子物理 · 物理学 2017-11-15 Yasunari Suzuki , Keisuke Fujii , Masato Koashi

Quantum computing has potential to provide exponential speedups over classical computing for many important applications. However, today's quantum computers are in their early stages, and hardware quality issues hinder the scale of program…

Simulating Clifford and near-Clifford circuits using the extended stabilizer formalism has become increasingly popular, particularly in quantum error correction. Compared to the state-vector approach, the extended stabilizer formalism can…

量子物理 · 物理学 2026-05-18 Vu Tuan Hai , Bui Cao Doanh , Le Vu Trung Duong , Pham Hoai Luan , Yasuhiko Nakashima

Quantum noise in real-world devices poses a significant challenge in achieving practical quantum advantage, since accurately compiled and executed circuits are typically deep and highly susceptible to decoherence. To facilitate the…

量子物理 · 物理学 2025-06-13 Yuchen Guo , Shuo Yang

Achieving near-term quantum advantage will require accurate estimation of quantum observables despite significant hardware noise. For this purpose, we propose a novel, scalable error-mitigation method that applies to gate-based quantum…

量子物理 · 物理学 2021-12-01 Piotr Czarnik , Andrew Arrasmith , Patrick J. Coles , Lukasz Cincio

Clifford noise reduction (CliNR) is a partial error correction scheme that reduces the logical error rate of Clifford circuits at the cost of a modest qubit and gate overhead. The CliNR implementation of an $n$-qubit Clifford circuit of…

量子物理 · 物理学 2025-12-01 Aharon Brodutch , Gregory Baimetov , Edwin Tham , Nicolas Delfosse

Quantum error correction is the art of protecting fragile quantum information through suitable encoding and active interventions. After encoding $k$ logical qubits into $n>k$ physical qubits using a stabilizer code, this amounts to…

量子物理 · 物理学 2025-05-27 Eric J. Kuehnke , Kyano Levi , Joschka Roffe , Jens Eisert , Daniel Miller

Scalable realisation of quantum computing is reliant on the development of fault tolerant devices. Analysis of quantum error correction protocols typically considers incoherent noise models or noise-free syndrome measurements. While this is…

量子物理 · 物理学 2026-05-29 Ben Harper , Azar C. Nakhl , Martin Sevior , Muhammad Usman
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