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Current and near-term quantum hardware is constrained by limited qubit counts, circuit depth, and the high cost of repeated measurements. We address these challenges for solid state Hamiltonians by introducing a logarithmic-qubit encoding…

Quantum Physics · Physics 2026-05-13 Martin Plesch , Martin Friák , Ijaz Ahamed Mohammad

We deal with a problem of finding maximum of a function from the Holder class on a quantum computer. We show matching lower and upper bounds on the complexity of this problem. We prove upper bounds by constructing an algorithm that uses the…

Quantum Physics · Physics 2007-05-23 Maciej Gocwin

In this paper, we propose a scheme of a long-lived broadband superefficient multiresonator quantum memory in which a common resonator is connected with an external waveguide and with a system of high-quality miniresonators containing…

Quantum Physics · Physics 2017-11-21 Nikolay S. Perminov , Diana Yu. Tarankova , Sergey A. Moiseev

Storage lifetime and capacity are two important factors to characterize the performance of a quantum memory. Here we report the stable trapping of above 200 ions in a cryogenic setup, and demonstrate the combination of the multi-qubit…

Quantum Physics · Physics 2023-01-04 R. Yao , W. -Q. Lian , Y. -K. Wu , G. -X. Wang , B. -W. Li , Q. -X. Mei , B. -X. Qi , L. Yao , Z. -C. Zhou , L. He , L. -M. Duan

Quantum reservoir computing is a neuro-inspired machine learning approach harnessing the rich dynamics of quantum systems to solve temporal tasks. It has gathered attention for its suitability for NISQ devices, for easy and fast…

Quantum Physics · Physics 2023-02-15 Guillem Llodrà , Christos Charalambous , Gian Luca Giorgi , Roberta Zambrini

Quantum computing promises to enhance machine learning and artificial intelligence. Different quantum algorithms have been proposed to improve a wide spectrum of machine learning tasks. Yet, recent theoretical works show that, similar to…

Restriction is a natural quasi-order on $d$-way tensors. We establish a remarkable aspect of this quasi-order in the case of tensors over a fixed finite field -- namely, that it is a well-quasi-order: it admits no infinite antichains and no…

Algebraic Geometry · Mathematics 2025-09-03 Andreas Blatter , Jan Draisma , Filip Rupniewski

Quantum algorithms are conventionally formulated for implementation on a single system of qubits amenable to projective measurements. However, in expectation value quantum computation, such as nuclear magnetic resonance realizations, the…

Quantum Physics · Physics 2007-05-23 David Collins

Quantization-aware training (QAT) is an effective method to drastically reduce the memory footprint of LLMs while keeping performance degradation at an acceptable level. However, the optimal choice of quantization format and bit-width…

Machine Learning · Computer Science 2026-02-18 Sohir Maskey , Constantin Eichenberg , Johannes Messner , Douglas Orr

We show that a constant number of self-attention layers can efficiently simulate, and be simulated by, a constant number of communication rounds of Massively Parallel Computation. As a consequence, we show that logarithmic depth is…

Machine Learning · Computer Science 2024-02-15 Clayton Sanford , Daniel Hsu , Matus Telgarsky

As present day quantum hardware is limited by various noise mechanisms, quantum advantage can only be reached in the near-term by designing noise-resilient quantum algorithms. In this work, we employ state-of-the-art quantum process…

Quantum Physics · Physics 2025-10-01 Maria Dinca , David J. Luitz , Maxime Debertolis

The intensive computation and memory requirements of generative adversarial neural networks (GANs) hinder its real-world deployment on edge devices such as smartphones. Despite the success in model reduction of CNNs, neural network…

Neural and Evolutionary Computing · Computer Science 2019-01-25 Peiqi Wang , Dongsheng Wang , Yu Ji , Xinfeng Xie , Haoxuan Song , XuXin Liu , Yongqiang Lyu , Yuan Xie

Production garbage collectors make substantial compromises in pursuit of reduced pause times. They require far more CPU cycles and memory than prior simpler collectors. concurrent copying collectors (C4, ZGC, and Shenandoah) suffer from the…

Programming Languages · Computer Science 2022-11-01 Wenyu Zhao , Stephen M. Blackburn , Kathryn S. McKinley

We consider the following problem: estimate the size of a nonempty set $S\subseteq\left[ N\right] $, given both quantum queries to a membership oracle for $S$, and a device that generates equal superpositions $\left\vert S\right\rangle $…

Quantum Physics · Physics 2018-08-08 Scott Aaronson

The general adversary dual is a powerful tool in quantum computing because it gives a query-optimal bounded-error quantum algorithm for deciding any Boolean function. Unfortunately, the algorithm uses linear qubits in the worst case, and…

Quantum Physics · Physics 2023-06-28 Michael Czekanski , Shelby Kimmel , R. Teal Witter

Secure two-party cryptography is possible if the adversary's quantum storage device suffers imperfections. For example, security can be achieved if the adversary can store strictly less then half of the qubits transmitted during the…

Quantum Physics · Physics 2011-05-05 Prabha Mandayam , Stephanie Wehner

Long-lived mechanical oscillators are actively pursued as critical resources for quantum storage, sensing, and transduction. However, achieving deterministic quantum control while limiting mechanical dissipation remains a persistent…

Quantum Physics · Physics 2024-12-12 Alkım B. Bozkurt , Omid Golami , Yue Yu , Hao Tian , Mohammad Mirhosseini

We present a linear optics quantum computation scheme that employs a new encoding approach that incrementally adds qubits and is tolerant to photon loss errors. The scheme employs a circuit model but uses techniques from cluster state…

Quantum Physics · Physics 2009-11-11 T. C. Ralph , A. J. F. Hayes , Alexei Gilchrist

The (negative-weighted) quantum adversary bound is a tight characterisation of the quantum query complexity for any partial function. We analyse the extent to which this bound can be generalised. Ambainis et al. [arXiv:1012.2112] and Lee et…

Quantum Physics · Physics 2015-04-28 Aleksandrs Belovs

The relative power of quantum algorithms, using an adaptive access to quantum devices, versus classical post-processing methods that rely only on an initial quantum data set, remains the subject of active debate. Here, we present evidence…

Quantum Physics · Physics 2025-10-02 Oleksandr Kyriienko , Chukwudubem Umeano , Zoë Holmes
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