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A universal fault-tolerant quantum computer that can solve efficiently problems such as integer factorization and unstructured database search requires millions of qubits with low error rates and long coherence times. While the experimental…

Dissipative processes have long been proposed as a means of performing computational tasks on quantum computers that may be intrinsically more robust to noise. In this work, we prove two main results concerning the error-resilience…

量子物理 · 物理学 2026-03-06 James Purcell , Abhishek Rajput , Toby Cubitt

A widely used method for mitigating errors in noisy quantum computers is Richardson extrapolation, a technique in which the overall effect of noise on the estimation of quantum expectation values is captured by a single parameter that,…

量子物理 · 物理学 2025-01-23 Vincent Russo , Andrea Mari

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

The utility of effective model spaces in quantum simulations of non-relativistic quantum many-body systems is explored in the context of the Lipkin-Meshkov-Glick model of interacting fermions. We introduce an iterative…

量子物理 · 物理学 2023-08-25 Caroline E. P. Robin , Martin J. Savage

Quantum simulation is a powerful tool to study the properties of quantum systems. The dynamics of open quantum systems are often described by Completely Positive (CP) maps, for which several quantum simulation schemes exist. We present a…

量子物理 · 物理学 2023-12-22 Mirko Rossini , Dominik Maile , Joachim Ankerhold , Brecht I. C Donvil

As the advances in quantum hardware bring us into the noisy intermediate-scale quantum (NISQ) era, one possible task we can perform without quantum error correction using NISQ machines is the variational quantum eigensolver (VQE) due to its…

量子物理 · 物理学 2020-07-29 Zhenyu Cai

Noisy Intermediate-Scale Quantum (NISQ) devices lack error correction, limiting scalability for quantum algorithms. In this context, digital-analog quantum computing (DAQC) offers a more resilient alternative quantum computing paradigm that…

量子物理 · 物理学 2024-10-11 Paula García-Molina , Ana Martin , Mikel Garcia de Andoin , Mikel Sanz

Overcoming the influence of noise and imperfections is a major challenge in quantum computing. Here, we present an approach based on applying a desired unitary computation in superposition between the system of interest and some auxiliary…

Current advancements in technology have focused the attention of the quantum computing community toward exploring the potential of near-term devices whose computing power surpasses that of classical computers in practical applications. An…

量子物理 · 物理学 2024-11-06 Sovanmonynuth Heng , Myeongseong Go , Youngsun Han

Noisy, intermediate-scale quantum computers come with intrinsic limitations in terms of the number of qubits (circuit "width") and decoherence time (circuit "depth") they can have. Here, for the first time, we demonstrate a recently…

量子物理 · 物理学 2020-09-02 Thomas Ayral , François-Marie Le Régent , Zain Saleem , Yuri Alexeev , Martin Suchara

The 1+1D Ising model is an ideal benchmark for quantum algorithms, as it is very well understood theoretically. This is true even when expanding the model to include complex coupling constants. In this work, we implement quantum algorithms…

量子物理 · 物理学 2023-12-01 Erik Gustafson , Michael Hite , Jay Hubisz , Bharath Sambasivam , Judah Unmuth-Yockey

This MS thesis explores the effects and origins of a 'noise with memory' in the dynamics of an open quantum system. The system considered here is a multi-qubit register performing the Grover's quantum search algorithm. We show that a…

量子物理 · 物理学 2023-03-27 Sheikh Parvez Mandal

Quantum algorithms for simulating quantum systems provide a clear and provable advantage over classical algorithms in fault-tolerant settings. There is also interest in quantum algorithms and their implementation in Noisy Intermediate Scale…

量子物理 · 物理学 2024-02-29 I J David , I Sinayskiy , F Petruccione

Zero noise extrapolation (ZNE) is a widely used technique for gate error mitigation on near term quantum computers because it can be implemented in software and does not require knowledge of the quantum computer noise parameters.…

量子物理 · 物理学 2022-05-03 Vincent R. Pascuzzi , Andre He , Christian W. Bauer , Wibe A. de Jong , Benjamin Nachman

Quantum computers are expected to be highly beneficial for chemistry simulations, promising significant improvements in accuracy and speed. The most prominent algorithm for chemistry simulations on NISQ devices is the Variational Quantum…

量子物理 · 物理学 2022-09-27 Marita Oliv , Andrea Matic , Thomas Messerer , Jeanette Miriam Lorenz

Significant challenges remain with the development of macroscopic quantum computing, hardware problems of noise, decoherence, and scaling, software problems of error correction, and, most important, algorithm construction. Finding truly…

量子物理 · 物理学 2022-12-05 James E. Steck , Nathan L. Thompson , Elizabeth C. Behrman

Quantum computers can exploit a Hilbert space whose dimension increases exponentially with the number of qubits. In experiment, quantum supremacy has recently been achieved by the Google team by using a noisy intermediate-scale quantum…

量子物理 · 物理学 2021-02-02 Suguru Endo , Zhenyu Cai , Simon C. Benjamin , Xiao Yuan

Using a dissipative quantum neural network (DQNN) accompanied by conjugate layers, we upgrade the performance of the existing quantum auto-encoder (QAE) network as a quantum denoiser of a noisy m-qubit GHZ state. Our new denoising…

量子物理 · 物理学 2023-11-20 Armin Ahmadkhaniha , Marzieh Bathaee

We present a systematic investigation of deep learning methods applied to quantum error mitigation of noisy output probability distributions from measured quantum circuits. We compare different architectures, from fully connected neural…