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While quantum speed-up in solving certain decision problems by a fault-tolerant universal quantum computer has been promised, a timely research interest includes how far one can reduce the resource requirement to demonstrate a provable…

量子物理 · 物理学 2018-01-01 Jacob Miller , Stephen Sanders , Akimasa Miyake

The detrimental effect of noise accumulates as quantum computers grow in size. In the case where devices are too small or noisy to perform error correction, error mitigation may be used. Error mitigation does not increase the fidelity of…

量子物理 · 物理学 2023-07-19 Cristina Cirstoiu , Silas Dilkes , Daniel Mills , Seyon Sivarajah , Ross Duncan

In theory, quantum computers can efficiently simulate quantum physics, factor large numbers and estimate integrals, thus solving otherwise intractable computational problems. In practice, quantum computers must operate with noisy devices…

量子物理 · 物理学 2009-11-10 E. Knill

Debugging quantum states transformations is an important task of modern quantum computing. The use of quantum tomography for these purposes significantly expands the range of possibilities. However, the presence of preparation and…

量子物理 · 物理学 2022-01-11 B. I. Bantysh , Yu. I. Bogdanov

Quantum coherence is a fundamental resource that quantum technologies exploit to achieve performance beyond that of classical devices. A necessary prerequisite to achieve this advantage is the ability of measurement devices to detect…

Despite significant progress in quantum computing in recent years, executing quantum circuits for practical problems remains challenging due to error-prone quantum hardware. Hence, quantum error correction becomes essential but induces…

量子物理 · 物理学 2025-09-04 Tobias Forster , Nils Quetschlich , Mathias Soeken , Robert Wille

As far as we know, a useful quantum computer will require fault-tolerant gates, and existing schemes demand a prohibitively large space and time overhead. We argue that a first generation quantum computer will be very valuable to design,…

量子物理 · 物理学 2017-11-15 Pavithran S. Iyer , David Poulin

The results of quantum process tomography on a three-qubit nuclear magnetic resonance quantum information processor are presented, and shown to be consistent with a detailed model of the system-plus-apparatus used for the experiments. The…

Quantum error correcting codes are designed to pinpoint exactly when and where errors occur in quantum circuits. This feature is the foundation of their primary task: to support fault-tolerant quantum computation. However, this feature…

量子物理 · 物理学 2024-03-18 James R. Wootton

The increasing complexity of quantum software presents significant challenges for software verification and validation, particularly in the context of unit testing. This work presents a comprehensive study on quantum-centric unit tests,…

软件工程 · 计算机科学 2025-07-24 Andriy Miranskyy , José Campos , Anila Mjeda , Lei Zhang , Ignacio García Rodríguez de Guzmán

Quantum measurements are not deterministic. For this reason quantum measurements are repeated for a number of shots on identically prepared systems. The uncertainty in each measurement depends on the number of shots and the expected outcome…

量子物理 · 物理学 2025-03-12 Pieter Thijs Eendebak

Quantum error mitigation has been proposed as a means to combat unwanted and unavoidable errors in near-term quantum computing without the heavy resource overheads required by fault tolerant schemes. Recently, error mitigation has been…

量子物理 · 物理学 2024-10-15 Yihui Quek , Daniel Stilck França , Sumeet Khatri , Johannes Jakob Meyer , Jens Eisert

A quantum computer has now solved a specialized problem believed to be intractable for supercomputers, suggesting that quantum processors may soon outperform supercomputers on scientifically important problems. But flaws in each quantum…

量子物理 · 物理学 2022-01-21 Timothy Proctor , Kenneth Rudinger , Kevin Young , Erik Nielsen , Robin Blume-Kohout

Quantum phase estimation is one of the key algorithms in the field of quantum computing, but up until now, only approximate expressions have been derived for the probability of error. We revisit these derivations, and find that by ensuring…

量子物理 · 物理学 2012-02-13 James M. Chappell , Max A. Lohe , Lorenz von Smekal , Azhar Iqbal , Derek Abbott

Quantum process tomography is a necessary tool for verifying quantum gates and diagnosing faults in architectures and gate design. We show that the standard approach of process tomography is grossly inaccurate in the case where the states…

Fault tolerant quantum computing methods which work with efficient quantum error correcting codes are discussed. Several new techniques are introduced to restrict accumulation of errors before or during the recovery. Classes of eligible…

量子物理 · 物理学 2009-10-31 Andrew M. Steane

Experimentally realizable quantum computers are rapidly approaching the threshold of quantum supremacy. Quantum Hamiltonian simulation promises to be one of the first practical applications for which such a device could demonstrate an…

量子物理 · 物理学 2019-05-28 Rich Rines , Kevin Obenland , Isaac Chuang

Quantum computation has made considerable progress in the last decade with multiple emerging technologies providing proof-of-principle experimental demonstrations of such calculations. However, these experimental demonstrations of quantum…

量子物理 · 物理学 2022-09-27 Samudra Dasgupta , Travis S. Humble

Designing quantum processors is a complex task that demands advanced verification methods to ensure their correct functionality. However, traditional methods of comprehensively verifying quantum devices, such as quantum process tomography,…

量子物理 · 物理学 2025-08-04 Keren Li , Peng Yan , Hanru Jiang , Nengkun Yu

Quantum simulators are widely seen as one of the most promising near-term applications of quantum technologies. However, it remains unclear to what extent a noisy device can output reliable results in the presence of unavoidable…

量子物理 · 物理学 2020-11-17 Pablo M. Poggi , Nathan K. Lysne , Kevin W. Kuper , Ivan H. Deutsch , Poul S. Jessen