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We survey recent work on designing and evaluating quantum computing implementations based on nuclear or bound-electron spins in semiconductor heterostructures at low temperatures and in high magnetic fields. General overview is followed by…

Mesoscale and Nanoscale Physics · Physics 2010-09-22 Vladimir Privman , Dima Mozyrsky , Israel D. Vagner

We point out that superconducting quantum computers are prospective for the simulation of the dynamics of spin models far from equilibrium, including nonadiabatic phenomena and quenches. The important advantage of these machines is that…

Quantum Physics · Physics 2018-07-27 A. A. Zhukov , S. V. Remizov , W. V. Pogosov , Yu. E. Lozovik

Quantum simulation is of great importance in quantum information science. Here, we report an experimental quantum channel simulator imbued with an algorithm for imitating the behavior of a general class of quantum systems. The reported…

A quantum simulator is a well controlled quantum system that can simulate the behavior of another quantum system which may require exponentially large classical computing resources to understand otherwise. In the 1980s, Feynman proposed the…

Tensor network theory and quantum simulation are respectively the key classical and quantum computing methods in understanding quantum many-body physics. Here, we introduce the framework of hybrid tensor networks with building blocks…

Quantum Physics · Physics 2021-09-02 Xiao Yuan , Jinzhao Sun , Junyu Liu , Qi Zhao , You Zhou

Over the last century, a large number of physical and mathematical developments paired with rapidly advancing technology have allowed the field of quantum chemistry to advance dramatically. However, the lack of computationally efficient…

Quantum Physics · Physics 2011-03-08 James D. Whitfield , Jacob Biamonte , Alán Aspuru-Guzik

Magnetic molecules, modelled as finite-size spin systems, are test-beds for quantum phenomena and could constitute key elements in future spintronics devices, long-lasting nanoscale memories or noise-resilient quantum computing platforms.…

Quantum Physics · Physics 2021-03-16 A. Chiesa , F. Tacchino , M. Grossi , P. Santini , I. Tavernelli , D. Gerace , S. Carretta

I've been building Powerpoint-based quantum computers with electron spins in silicon for 20 years. Unfortunately, real-life-based quantum dot quantum computers are harder to implement. Materials, fabrication, and control challenges still…

Mesoscale and Nanoscale Physics · Physics 2021-11-24 Charles Tahan

We propose a novel platform for quantum many body simulations of dipolar spin models using current circuit QED technology. Our basic building blocks are 3D Transmon qubits where we use the naturally occurring dipolar interactions to realize…

Quantum Physics · Physics 2015-11-11 M. Dalmonte , S. I. Mirzai , P. R. Muppalla , D. Marcos , P. Zoller , G. Kirchmair

Since simulating quantum computers requires exponentially more classical resources, efficient algorithms are extremely helpful. We analyze algorithms that create single qubit and specific controlled qubit matrix representations of gates.…

Quantum Physics · Physics 2007-05-23 Eric Hsu

The state vector-based simulation offers a convenient approach to developing and validating quantum algorithms with noise-free results. However, limited by the absence of cache-aware implementations and unpolished circuit optimizations, the…

Quantum Physics · Physics 2024-06-21 Chuan-Chi Wang , Yu-Cheng Lin , Yan-Jie Wang , Chia-Heng Tu , Shih-Hao Hung

Simulations of nuclear magnetic resonance (NMR) experiments can be an important tool for extracting information about molecular structure and optimizing experimental protocols but are often intractable on classical computers for large…

Quantum simulations are designed to model quantum systems, and many compilation frameworks have been developed for executing such simulations on quantum computers. Most compilers leverage the capabilities of digital and analog quantum…

Quantum Physics · Physics 2025-09-26 Liyi Li , Federico Zahariev , Chandeepa Dissanayake , Jae Swanepoel , Amr Sabry , Mark S. Gordon

Many interesting problems in physics, chemistry, and computer science are equivalent to problems of interacting spins. However, most of these problems require computational resources that are out of reach by classical computers. A promising…

Quantum Physics · Physics 2012-06-07 Jingfu Zhang , Man-Hong Yung , Raymond Laflamme , Alán Aspuru-Guzik , Jonathan Baugh

Experimental realization of a universal set of quantum logic gates is the central requirement for implementation of a quantum computer. An all-geometric approach to quantum computation offered a paradigm for implementation where all the…

Quantum Physics · Physics 2015-06-23 C. Zu , W. -B. Wang , L. He , W. -G. Zhang , C. -Y. Dai , F. Wang , L. -M. Duan

Quantum simulations are becoming an essential tool for studying complex phenomena, e.g. quantum topology, quantum information transfer, and relativistic wave equations, beyond the limitations of analytical computations and experimental…

Qudit is a multi-level computational unit alternative to the conventional 2-level qubit. Compared to qubit, qudit provides a larger state space to store and process information, and thus can provide reduction of the circuit complexity,…

Quantum Physics · Physics 2020-11-12 Yuchen Wang , Zixuan Hu , Barry C. Sanders , Sabre Kais

People are witnessing quantum computing revolutions nowadays. Progress in the number of qubits, coherence times and gate fidelities are happening. Although quantum error correction era has not arrived, the research and development of…

Quantum Physics · Physics 2023-10-17 Guanru Feng , Dawei Lu , Jun Li , Tao Xin , Bei Zeng

Optimally-shaped electromagnetic fields have the capacity to coherently control the dynamics of quantum systems and thus offer a promising means for controlling molecular transformations relevant to chemical, biological, and materials…

Quantum Physics · Physics 2021-06-08 Alicia B. Magann , Matthew D. Grace , Herschel A. Rabitz , Mohan Sarovar