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We present a new Python package that uses the established notion of geometric quantum complexity to numerically compute the difficulty associated with preparing a given unitary transformation on a quantum computer. The numerical procedure…

The application of Tensor Networks (TN) in quantum computing has shown promise, particularly for data loading. However, the assumption that data is readily available often renders the integration of TN techniques into Quantum Monte Carlo…

Quantum circuit simulation provides the foundation for the development of quantum algorithms and the verification of quantum supremacy. Among the various methods for quantum circuit simulation, tensor network contraction has been increasing…

Quantum Physics · Physics 2023-07-11 Hiroyuki Ootomo , Hidetaka Manabe , Kenji Harada , Rio Yokota

Although tensor networks are powerful tools for simulating low-dimensional quantum physics, tensor network algorithms are very computationally costly in higher spatial dimensions. We introduce quantum gauge networks: a different kind of…

Quantum Physics · Physics 2023-09-20 Kevin Slagle

The string-net condensate is a new class of materials which exhibits the quantum topological order. In order to answer the important question, "how useful is the string-net condensate in quantum information processing?", we consider the…

Quantum Physics · Physics 2015-05-20 Tomoyuki Morimae

Tensor networks and quantum computation are two of the most powerful tools for the simulation of quantum many-body systems. Rather than viewing them as competing approaches, here we consider how these two methods can work in tandem. We…

Quantum metrology is studied in the presence of quantum correlation. The quantum correlation measure based on quantum Fisher information enables us to gain a deeper insight on how quantum correlations are instrumental in setting…

Quantum Physics · Physics 2014-06-30 Manabendra N. Bera

Tensor networks have been successfully applied in simulation of quantum physical systems for decades. Recently, they have also been employed in classical simulation of quantum computing, in particular, random quantum circuits. This paper…

Quantum Physics · Physics 2025-07-08 Xin Hong , Xiangzhen Zhou , Sanjiang Li , Yuan Feng , Mingsheng Ying

Tensor Networks (TN) are approximations of high-dimensional tensors designed to represent locally entangled quantum many-body systems efficiently. This study provides a comprehensive comparison between classical TNs and TN-inspired quantum…

Quantum Physics · Physics 2022-12-20 Jack Y. Araz , Michael Spannowsky

We present a tensor-network-based method for simulating a weakly-measured quantum circuit. In particular, we use a Markov chain to efficiently sample measurements and contract the tensor network, propagating their effect forward along the…

Quantum Physics · Physics 2025-10-09 Darren Pereira , Leonardo Banchi

This work presents a Python framework named after the General Equation of Quantum Image Encoding (GEQIE). The framework creates the image-encoding state using a unitary gate, which can later be transpiled to target quantum backends. The…

We present MiniTensor, an open source tensor operations library that focuses on minimalism, correctness, and performance. MiniTensor exposes a familiar PyTorch-like Python API while it executes performance critical code in a Rust engine.…

Machine Learning · Computer Science 2026-02-03 Soumyadip Sarkar

Accurately quantifying the thermodynamic work costs of quantum operations is essential for the continued development and optimisation of emerging quantum technologies. This present a significant challenge in regimes of rapid control within…

Quantum Physics · Physics 2025-12-19 Mike Shubrook , Moritz Cygorek , Erik Gauger , Jake Iles-Smith , Ahsan Nazir

Quantum computation offers a promising new kind of information processing, where the non-classical features of quantum mechanics can be harnessed and exploited. A number of models of quantum computation exist, including the now well-studied…

Quantum Physics · Physics 2011-08-03 H. J. Briegel , D. E. Browne , W. Dür , R. Raussendorf , M. Van den Nest

Theano is a Python library that allows to define, optimize, and evaluate mathematical expressions involving multi-dimensional arrays efficiently. Since its introduction, it has been one of the most used CPU and GPU mathematical compilers -…

Symbolic Computation · Computer Science 2016-05-10 The Theano Development Team , Rami Al-Rfou , Guillaume Alain , Amjad Almahairi , Christof Angermueller , Dzmitry Bahdanau , Nicolas Ballas , Frédéric Bastien , Justin Bayer , Anatoly Belikov , Alexander Belopolsky , Yoshua Bengio , Arnaud Bergeron , James Bergstra , Valentin Bisson , Josh Bleecher Snyder , Nicolas Bouchard , Nicolas Boulanger-Lewandowski , Xavier Bouthillier , Alexandre de Brébisson , Olivier Breuleux , Pierre-Luc Carrier , Kyunghyun Cho , Jan Chorowski , Paul Christiano , Tim Cooijmans , Marc-Alexandre Côté , Myriam Côté , Aaron Courville , Yann N. Dauphin , Olivier Delalleau , Julien Demouth , Guillaume Desjardins , Sander Dieleman , Laurent Dinh , Mélanie Ducoffe , Vincent Dumoulin , Samira Ebrahimi Kahou , Dumitru Erhan , Ziye Fan , Orhan Firat , Mathieu Germain , Xavier Glorot , Ian Goodfellow , Matt Graham , Caglar Gulcehre , Philippe Hamel , Iban Harlouchet , Jean-Philippe Heng , Balázs Hidasi , Sina Honari , Arjun Jain , Sébastien Jean , Kai Jia , Mikhail Korobov , Vivek Kulkarni , Alex Lamb , Pascal Lamblin , Eric Larsen , César Laurent , Sean Lee , Simon Lefrancois , Simon Lemieux , Nicholas Léonard , Zhouhan Lin , Jesse A. Livezey , Cory Lorenz , Jeremiah Lowin , Qianli Ma , Pierre-Antoine Manzagol , Olivier Mastropietro , Robert T. McGibbon , Roland Memisevic , Bart van Merriënboer , Vincent Michalski , Mehdi Mirza , Alberto Orlandi , Christopher Pal , Razvan Pascanu , Mohammad Pezeshki , Colin Raffel , Daniel Renshaw , Matthew Rocklin , Adriana Romero , Markus Roth , Peter Sadowski , John Salvatier , François Savard , Jan Schlüter , John Schulman , Gabriel Schwartz , Iulian Vlad Serban , Dmitriy Serdyuk , Samira Shabanian , Étienne Simon , Sigurd Spieckermann , S. Ramana Subramanyam , Jakub Sygnowski , Jérémie Tanguay , Gijs van Tulder , Joseph Turian , Sebastian Urban , Pascal Vincent , Francesco Visin , Harm de Vries , David Warde-Farley , Dustin J. Webb , Matthew Willson , Kelvin Xu , Lijun Xue , Li Yao , Saizheng Zhang , Ying Zhang

We present the tensor computer algebra package xPert for fast construction and manipulation of the equations of metric perturbation theory, around arbitrary backgrounds. It is based on the combination of explicit combinatorial formulas for…

General Relativity and Quantum Cosmology · Physics 2009-09-28 David Brizuela , Jose M. Martin-Garcia , Guillermo A. Mena Marugan

Coherence and entanglement are fundamental properties of quantum systems, promising to power the near future quantum computers, sensors and simulators. Yet, their experimental detection is challenging, usually requiring full reconstruction…

Quantum Physics · Physics 2017-08-01 Graeme Smith , John A. Smolin , Xiao Yuan , Qi Zhao , Davide Girolami , Xiongfeng Ma

The rapid pace of recent advancements in numerical computation, notably the rise of GPU and TPU hardware accelerators, have allowed tensor network (TN) algorithms to scale to even larger quantum simulation problems, and to be employed more…

Quantum Physics · Physics 2022-09-02 Manuel S. Rudolph , Jing Chen , Jacob Miller , Atithi Acharya , Alejandro Perdomo-Ortiz

For efficient use of Massive MIMO systems, fast and accurate channel estimation is very important. But the Large-scale antenna array presence requires high pilot overhead for high accuracy of estimation. Also, when used with software-based…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-14 Bhargav Gokalgandhi , Ivan Seskar

Quantum metrology promises higher precision measurements than classical methods. Entanglement has been identified as one of quantum resources to enhance metrological precision. However, generating entangled states with high fidelity…

Quantum Physics · Physics 2024-07-16 Jeongwoo Jae , Jiwon Lee , M. S. Kim , Kwang-Geol Lee , Jinhyoung Lee