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The quantum kernel method has attracted considerable attention in the field of quantum machine learning. However, exploring the applicability of quantum kernels in more realistic settings has been hindered by the number of physical qubits…

Quantum Physics · Physics 2023-09-12 Teppei Suzuki , Tsubasa Miyazaki , Toshiki Inaritai , Takahiro Otsuka

We consider the problem of implementing two-party interactive quantum communication over noisy channels, a necessary endeavor if we wish to fully reap quantum advantages for communication. For an arbitrary protocol with $n$ messages,…

Quantum Physics · Physics 2020-01-10 Debbie Leung , Ashwin Nayak , Ala Shayeghi , Dave Touchette , Penghui Yao , Nengkun Yu

Quantum computing is a rapidly expanding field with applications ranging from optimization all the way to complex machine learning tasks. Quantum memories, while lacking in practical quantum computers, have the potential to bring quantum…

Simulating large electronic networks with vibrational environments remains a fundamental challenge due to the long lifetimes of electronic-vibrational (vibronic) excitations on the picosecond scale. Quantum computers are a promising…

Quantum algorithm design usually assumes access to a perfect quantum computer with ideal properties like full connectivity, noise-freedom and arbitrarily long coherence time. In Noisy Intermediate-Scale Quantum (NISQ) devices, however, the…

Quantum Physics · Physics 2020-09-11 Xiangzhen Zhou , Sanjiang Li , Yuan Feng

Recent demonstrations of superconducting quantum computers by Google and IBM and trapped-ion computers from IonQ fueled new research in quantum algorithms, compilation into quantum circuits, and empirical algorithmics. While online access…

Quantum Physics · Physics 2020-11-26 Aneeqa Fatima , Igor L. Markov

Quantum computing has become a promising computing approach because of its capability to solve certain problems, exponentially faster than classical computers. A $n$-qubit quantum system is capable of providing $2^{n}$ computational space…

Quantum Physics · Physics 2023-09-13 Saikat Basu , Amit Saha , Amlan Chakrabarti , Susmita Sur-Kolay

The demonstration of quantum error correction (QEC) is one of the most important milestones in the realization of fully-fledged quantum computers. Toward this, QEC experiments using the surface codes have recently been actively conducted.…

Quantum Physics · Physics 2024-01-12 Mitsuki Katsuda , Kosuke Mitarai , Keisuke Fujii

This work studies the porting and optimization of the tensor network simulator QTensor on GPUs, with the ultimate goal of simulating quantum circuits efficiently at scale on large GPU supercomputers. We implement NumPy, PyTorch, and CuPy…

Quantum Physics · Physics 2022-04-14 Danylo Lykov , Angela Chen , Huaxuan Chen , Kristopher Keipert , Zheng Zhang , Tom Gibbs , Yuri Alexeev

Conventional vector-based simulators for quantum computers are quite limited in the size of the quantum circuits they can handle, due to the worst-case exponential growth of even sparse representations of the full quantum state vector as a…

Quantum Physics · Physics 2009-10-09 Michael P. Frank , Liviu Oniciuc , Uwe Meyer-Baese , Irinel Chiorescu

Quantum computing is a rapidly evolving field that enables exponential speed-up over classical algorithms. At the heart of this revolutionary technology are quantum circuits, which serve as vital tools for implementing, analyzing, and…

Quantum Physics · Physics 2023-10-30 Zhen Wen , Yihan Liu , Siwei Tan , Jieyi Chen , Minfeng Zhu , Dongming Han , Jianwei Yin , Mingliang Xu , Wei Chen

Quantum computation is a promising emerging technology which, compared to conventional computation, allows for substantial speed-ups e.g. for integer factorization or database search. However, since physical realizations of quantum…

Quantum Physics · Physics 2018-06-07 Alwin Zulehner , Robert Wille

A universal quantum computer can simulate diverse quantum systems, with electronic structure for chemistry offering challenging problems for practical use cases around the hundred-qubit mark. While current quantum processors have reached…

We present the Quantum Virtual Machine (QVM), an end-to-end generic system for scalable execution of large quantum circuits with high fidelity on noisy and small quantum processors (QPUs) by leveraging gate virtualization. QVM exposes a…

Quantum Physics · Physics 2024-07-01 Nathaniel Tornow , Emmanouil Giortamis , Pramod Bhatotia

Quantum systems are notoriously difficult to simulate with classical means. Recently, the idea of using another quantum system - which is experimentally more controllable - as a simulator for the original problem has gained significant…

Mesoscale and Nanoscale Physics · Physics 2014-04-29 G. S. Paraoanu

We use a massively parallel simulator of a universal quantum computer to benchmark some of the most powerful supercomputers in the world. We find nearly ideal scaling behavior on the Sunway TaihuLight, the K computer, the IBM BlueGene/Q…

Peaked quantum circuits, whose output distribution is sharply concentrated on a single bitstring, have emerged as a promising candidate for verifiable quantum advantage, as the correctness of the quantum output can be checked by simply…

Quantum Physics · Physics 2026-04-24 David Kremer , Nicolas Dupuis

The area of quantum circuit simulation has attracted a lot of attention in recent years. However, due to the exponentially increasing computational costs, assessing and validating these models on large datasets poses significant obstacles.…

Quantum Physics · Physics 2025-05-14 Van Duy Tran , Tuan Hai Vu , Vu Trung Duong Le , Hoai Luan Pham , Yasuhiko Nakashima

This is an investigation of the limits of quantum circuit simulation with Schrodinger's formulation and low precision arithmetic. The goal is to estimate how much memory can be saved in simulations that involve random, maximally entangled…

Quantum Physics · Physics 2020-07-28 Santiago I. Betelu

Quantum processors may enhance machine learning by mapping high-dimensional data onto quantum systems for processing. Conventional feature maps, for encoding data onto a quantum circuit are currently impractical, as the number of entangling…

Quantum Physics · Physics 2026-03-27 Utkarsh Singh , Jean-Frédéric Laprade , Aaron Z. Goldberg , Khabat Heshami