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In the rapidly evolving field of quantum computing, tensor networks serve as an important tool due to their multifaceted utility. In this paper, we review the diverse applications of tensor networks and show that they are an important…

Data representation in quantum state space offers an alternative function space for machine learning tasks. However, benchmarking these algorithms at a practical scale has been limited by ineffective simulation methods. We develop a quantum…

Quantum Physics · Physics 2024-11-15 Mekena Metcalf , Pablo Andrés-Martínez , Nathan Fitzpatrick

Quantum computers have the potential to efficiently simulate large-scale quantum systems for which classical approaches are bound to fail. Even though several existing quantum devices now feature total qubit numbers of more than one…

Quantum Physics · Physics 2023-03-29 Hongye Yu , Yusheng Zhao , Tzu-Chieh Wei

The advent of Noisy Intermediate-Scale Quantum (NISQ) technology is changing rapidly the landscape and modality of research in quantum physics. NISQ devices, such as the IBM Q Experience, have very recently proven their capability as…

Quantum Physics · Physics 2020-01-08 Guillermo García-Pérez , Matteo A. C. Rossi , Sabrina Maniscalco

Emerging quantum applications such as error mitigation, system characterization, and hybrid protocols often require running large families of related quantum circuits. Existing intermediate representations (IRs) and frameworks such as…

Quantum Physics · Physics 2025-07-15 Sourish Wawdhane , Sashwat Anagolum , Poulami Das , Yunong Shi

With the advent of more powerful Quantum Computers, the need for larger Quantum Simulations has boosted. As the amount of resources grows exponentially with size of the target system Tensor Networks emerge as an optimal framework with which…

Quantum neuromorphic computing physically implements neural networks in brain-inspired quantum hardware to speed up their computation. In this perspective article, we show that this emerging paradigm could make the best use of the existing…

Quantum Physics · Physics 2020-10-28 Danijela Marković , Julie Grollier

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

With quantum computers of significant size now on the horizon, we should understand how to best exploit their initially limited abilities. To this end, we aim to identify a practical problem that is beyond the reach of current classical…

Quantum Physics · Physics 2018-09-26 Andrew M. Childs , Dmitri Maslov , Yunseong Nam , Neil J. Ross , Yuan Su

Quantum computing has attracted significant interest in the optimization community because it potentially can solve classes of optimization problems faster than conventional supercomputers. Several researchers proposed quantum computing…

Quantum Physics · Physics 2023-02-14 Mohammadhossein Mohammadisiahroudi , Ramin Fakhimi , Tamás Terlaky

We present QSystem, an open-source platform for the simulation of quantum circuits focused on bitwise operations on a Hashmap data structure storing quantum states and gates. QSystem is implemented in C++ and delivered as a Python module,…

Quantum Physics · Physics 2020-04-08 Evandro Chagas Ribeiro da Rosa , Bruno G. Taketani

In this paper, we extend past work done on the application of the mathematics of category theory to quantum information science. Specifically, we present a realization of a dagger-compact category that can model finite-dimensional quantum…

Quantum Physics · Physics 2011-05-31 Ville Bergholm , Jacob D. Biamonte

Quantum computers have the potential to efficiently simulate the dynamics of many interacting quantum particles, a classically intractable task of central importance to fields ranging from chemistry to high-energy physics. However,…

Quantum simulation algorithms often require numerous ancilla qubits and deep circuits, prohibitive for near-term hardware. We introduce a framework for simulating quantum channels using ensembles of low-depth circuits in place of many-qubit…

Quantum Physics · Physics 2024-08-01 Joseph Peetz , Scott E. Smart , Prineha Narang

We present a software tool-set which combines the theoretical, optimal control view of quantum devices with the practical operation and characterization tasks required for quantum computing. In the same framework, we perform model-based…

Quantum Physics · Physics 2025-03-11 Anurag Saha Roy , Kevin Pack , Nicolas Wittler , Shai Machnes

Realizing a conceptual quantum algorithm on an actual physical device necessitates the algorithm's quantum circuit description to undergo certain transformations in order to adhere to all constraints imposed by the hardware. In this regard,…

Quantum Physics · Physics 2023-01-11 Lukas Burgholzer , Rudy Raymond , Robert Wille

Simulating the dynamics of many-body quantum systems is believed to be one of the first fields that quantum computers can show a quantum advantage over classical computers. Noisy intermediate-scale quantum (NISQ) algorithms aim at…

Quantum Physics · Physics 2021-05-19 Jonathan Wei Zhong Lau , Tobias Haug , Leong Chuan Kwek , Kishor Bharti

Quantum computers are the promising candidates for simulation of large quantum systems, which is a daunting task to perform in a classical computer. Here, we report the experimental realization of quantum tunneling of a single particle…

Quantum computers in practice today require strict memory constraints, where 2-qubit operations can only be performed between the qubits closest to each other in a graph structure. So a quantum circuit must undergo a transformation to the…

Quantum Physics · Physics 2022-10-12 Anpeng Zhang , Xiutao Feng , Shengyuan Xu

Efficient simulation of quantum circuits has become indispensable with the rapid development of quantum hardware. The primary simulation methods are based on state vectors and tensor networks. As the number of qubits and quantum gates grows…

Quantum Physics · Physics 2024-08-13 Feng Pan , Hanfeng Gu , Lvlin Kuang , Bing Liu , Pan Zhang