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We develop and analyze a method for simulating quantum circuits on classical computers by representing quantum states as rooted tree tensor networks. Our algorithm first determines a suitable, fixed tree structure adapted to the expected…

Quantum Physics · Physics 2023-04-05 Philipp Seitz , Ismael Medina , Esther Cruz , Qunsheng Huang , Christian B. Mendl

Context: The emergence of quantum computing proposes a revolutionary paradigm that can radically transform numerous scientific and industrial application domains. The ability of quantum computers to scale computations beyond what the…

Quantum Physics · Physics 2024-08-07 Vlad Stirbu , Otso Kinanen , Majid Haghparast , Tommi Mikkonen

We present a classical model for bulk-ensemble NMR quantum computation: the quantum state of the NMR sample is described by a probability distribution over the orientations of classical tops, and quantum gates are described by classical…

Quantum Physics · Physics 2008-12-18 R. Schack , C. M. Caves

Quantum computing based on Neutral Atoms (NAs) provides a wide range of computational capabilities, encompassing high-fidelity long-range interactions with native multi-qubit gates, and the ability to shuttle arrays of qubits. While…

Quantum Physics · Physics 2023-11-27 Ludwig Schmid , Sunghye Park , Seokhyeong Kang , Robert Wille

Quantum machine learning is one of the fields where quantum computers are expected to bring advantages over classical methods. However, the limited size of current computers restricts the exploitation of the full potential of quantum…

Quantum Physics · Physics 2025-11-10 Juan C. Boschero , Ward van der Schoot , Niels M. P. Neumann

Quantum computing is a winsome field that concerns with the behaviour and nature of energy at the quantum level to improve the efficiency of computations. In recent years, quantum computation is receiving much attention for its capability…

Quantum Physics · Physics 2020-05-26 Amandeep Singh Bhatia , Ajay Kumar

To bring the quantum computing capacities to the personal edge devices, the optimum approach is to have simple non-error corrected personal devices that offload the computational tasks to scalable quantum computers via edge servers with…

Quantum Physics · Physics 2022-11-24 Mohammadsadegh Khazali

Quantum machine learning has the potential to provide powerful algorithms for artificial intelligence. The pursuit of quantum advantage in quantum machine learning is an active area of research. For current noisy, intermediate-scale quantum…

Quantum Physics · Physics 2023-05-11 Rui Yang , Samuel Bosch , Bobak Kiani , Seth Lloyd , Adrian Lupascu

Quantum machine learning has the potential for broad industrial applications, and the development of quantum algorithms for improving the performance of neural networks is of particular interest given the central role they play in machine…

Quantum Physics · Physics 2019-09-09 Jonathan Allcock , Chang-Yu Hsieh , Iordanis Kerenidis , Shengyu Zhang

The continuous-time query model is a variant of the discrete query model in which queries can be interleaved with known operations (called "driving operations") continuously in time. Interesting algorithms have been discovered in this…

Quantum Physics · Physics 2009-08-06 R. Cleve , D. Gottesman , M. Mosca , R. D. Somma , D. L. Yonge-Mallo

A classical computer works with ones and zeros, whereas a quantum computer uses ones, zeros, and superpositions of ones and zeros, which enables quantum computers to perform a vast number of calculations simultaneously compared to classical…

Machine Learning · Computer Science 2021-10-15 Mhafuzul Islam , Mashrur Chowdhury , Zadid Khan , Sakib Mahmud Khan

Circuit knitting offers a promising path to the scalable execution of large quantum circuits by breaking them into smaller sub-circuits whose output is recombined through classical postprocessing. However, current techniques face excessive…

Quantum Physics · Physics 2024-10-22 Nathaniel Tornow , Christian B. Mendl , Pramod Bhatotia

Quantum computing has attracted much attention in recent decades, since it is believed to solve certain problems substantially faster than traditional computing methods. Theoretically, such an advance can be obtained by networks of the…

Optics · Physics 2022-12-21 Yifan Sun , Qian Li , Ling-Jun Kong , Jiangwei Shang , Xiangdong Zhang

We give a quantum algorithm for evaluating formulas over an extended gate set, including all two- and three-bit binary gates (e.g., NAND, 3-majority). The algorithm is optimal on read-once formulas for which each gate's inputs are balanced…

Quantum Physics · Physics 2012-07-10 Ben W. Reichardt , Robert Spalek

Classical machine learning theory and theory of quantum computations are among of the most rapidly developing scientific areas in our days. In recent years, researchers investigated if quantum computing can help to improve classical machine…

Quantum Physics · Physics 2019-06-26 D. V. Fastovets , Yu. I. Bogdanov , B. I. Bantysh , V. F. Lukichev

Machine learning is a promising application of quantum computing, but challenges remain as near-term devices will have a limited number of physical qubits and high error rates. Motivated by the usefulness of tensor networks for machine…

Quantum Physics · Physics 2019-02-07 William Huggins , Piyush Patel , K. Birgitta Whaley , E. Miles Stoudenmire

Molecules provide the smallest possible circuits in which quantum interference and electron correlation can be engineered to perform logical operations, including the universal NAND gate. We investigate a chemically encoded quantum NAND…

Mesoscale and Nanoscale Physics · Physics 2025-10-13 Justin P. Bergfield

Quantum network is a promising platform for many ground-breaking applications that lie beyond the capability of its classical counterparts. Efficient entanglement generation on quantum networks with relatively limited resources such as…

Quantum Physics · Physics 2020-01-08 Changhao Li , Tianyi Li , Yi-Xiang Liu , Paola Cappellaro

We study scattering of particles which obey an $SU(N)$ global symmetry through the lens of quantum computation and quantum algorithms. We show that for scattering between particles which transform in the fundamental or anti-fundamental…

Quantum Physics · Physics 2025-11-14 Navin McGinnis

Quantum computing promises to tackle technological and industrial problems insurmountable for classical computers. However, today's quantum computers still have limited demonstrable functionality, and it is expected that scaling up to…