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We consider vector-quantized (VQ) transmission of compressed sensing (CS) measurements over noisy channels. Adopting mean-square error (MSE) criterion to measure the distortion between a sparse vector and its reconstruction, we derive…

信息论 · 计算机科学 2014-05-01 Amirpasha Shirazinia , Saikat Chatterjee , Mikael Skoglund

Designing encoding and decoding circuits to reliably send messages over many uses of a noisy channel is a central problem in communication theory. When studying the optimal transmission rates achievable with asymptotically vanishing error…

量子物理 · 物理学 2024-11-07 Matthias Christandl , Alexander Müller-Hermes

While continuous-variable (CV) quantum systems are believed to be more efficient for quantum sensing and metrology than their discrete-variable (DV) counterparts due to the infinite spectrum of their native operators, our toolkit of…

量子物理 · 物理学 2025-01-10 Xi Lu , Bojko N. Bakalov , Yuan Liu

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

Generating samples from the output distribution of a quantum circuit is a ubiquitous task used as a building block of many quantum algorithms. Here we show how to accomplish this task on a noisy quantum processor lacking full-blown error…

Ensuring the non-entanglement-breaking (non-EB) property of quantum channels is crucial for the effective distribution and storage of quantum states. However, a practical method for direct and accurate certification of the non-EB feature is…

Quantum Variational Circuits (QVCs) are often claimed as one of the most potent uses of both near term and long term quantum hardware. The standard approaches to optimizing these circuits rely on a classical system to compute the new…

量子物理 · 物理学 2022-02-11 Owen Lockwood

Recently, a purely quantum version of polar codes has been proposed in [1] based on a quantum channel combining and splitting procedure, where a randomly chosen two-qubit Clifford unitary acts as channel combining operation. Here, we…

量子物理 · 物理学 2025-03-12 Ashutosh Goswami , Mehdi Mhalla , Valentin Savin

Quantum computing has proven to be capable of accelerating many algorithms by performing tasks that classical computers cannot. Currently, Noisy Intermediate Scale Quantum (NISQ) machines struggle from scalability and noise issues to render…

新兴技术 · 计算机科学 2023-09-20 Chao Lu , Navnil Choudhury , Utsav Banerjee , Abdullah Ash Saki , Kanad Basu

In quantum computing, knowing the symmetries a given system or state obeys or disobeys is often useful. For example, Hamiltonian symmetries may limit allowed state transitions or simplify learning parameters in machine learning…

量子物理 · 物理学 2024-07-26 Margarite L. LaBorde , Soorya Rethinasamy , Mark M. Wilde

While quantum computing can accomplish tasks that are classically intractable, the presence of noise may destroy this advantage in the absence of fault tolerance. In this work, we present a classical algorithm that runs in…

量子物理 · 物理学 2025-10-09 Yifan F. Zhang , Su-un Lee , Liang Jiang , Sarang Gopalakrishnan

Noise and imperfections are among the prevalent challenges in quantum software engineering for current NISQ systems. They will remain important in the post-NISQ area, as logical, error-corrected qubits will be based on software mechanisms.…

量子物理 · 物理学 2025-09-17 Stefan Raimund Maschek , Jürgen Schwitalla , Maja Franz , Wolfgang Mauerer

Quantum noise fundamentally limits the utility of near-term quantum devices, making error mitigation essential for practical quantum computation. While traditional quantum error correction codes require substantial qubit overhead and…

量子物理 · 物理学 2025-09-23 Karan Kendre

We investigate the effects of noise on parameterised quantum circuits using spectral analysis and classical signal processing tools. For different noise models, we quantify the additional, higher frequency modes in the output signal caused…

量子物理 · 物理学 2022-11-11 Enrico Fontana , Ivan Rungger , Ross Duncan , Cristina Cîrstoiu

We present an error mitigation strategy composed of Echo Verification (EV) and Clifford Data Regression (CDR), the combination of which allows one to learn the effect of the quantum noise channel to extract error mitigated estimates for the…

量子物理 · 物理学 2025-05-07 Tim Weaving , Alexis Ralli , Peter J. Love , Sauro Succi , Peter V. Coveney

With the advent of quantum cloud computing, the security of delegated quantum computation has become of utmost importance. While multiple statistically secure blind verification schemes in the prepare-and-send model have been proposed, none…

量子物理 · 物理学 2026-04-16 Theodoros Kapourniotis , Dominik Leichtle , Luka Music , Harold Ollivier

Quantum state purification protocols, which mitigate noise by converting multiple copies of noisy quantum states into fewer copies with a lower noise level, have applications in quantum communication and computation with imperfect devices.…

量子物理 · 物理学 2026-03-10 Benchi Zhao , Yu-Ao Chen , Xuanqiang Zhao , Chengkai Zhu , Giulio Chiribella , Xin Wang

Certifying high-dimensional quantum channels is essential for ensuring the reliability of quantum communication protocols. Existing certification schemes often rely on fully trusted internal devices, which is difficult to achieve in…

量子物理 · 物理学 2026-02-10 Mengyan Li , Yanning Jia , Fenzhuo Guo , Haifeng Dong , Sujuan Qin , Fei Gao

Benchmarking physical devices and verifying logical algorithms are important tasks for scalable fault-tolerant quantum computing. Numerous protocols exist for benchmarking devices before running actual algorithms. In this work, we show that…

量子物理 · 物理学 2026-02-05 Xiao Xiao , Dominik Hangleiter , Dolev Bluvstein , Mikhail D. Lukin , Michael J. Gullans

Hybrid continuous-variable--discrete-variable (CV--DV) architectures process quantum information in bosonic modes and qubits, but noise limits their performance. To reduce the noise, existing DV error correction must be complemented by CV…

量子物理 · 物理学 2026-04-22 Mohammad Nobakht , Ivan Kassal