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Many-body quantum games provide a natural perspective on phases of matter in quantum hardware, crisply relating the quantum correlations inherent in phases of matter to the securing of quantum advantage at a device-oriented task. In this…

It is an ongoing quest to realize topologically ordered quantum states on different platforms including condensed matter systems, quantum simulators and digital quantum processors. Unlike conventional states characterized by their local…

Strongly Correlated Electrons · Physics 2026-02-26 Adam Gammon-Smith , Michael Knap , Frank Pollmann

The advancement of information processing into the realm of quantum mechanics promises a transcendence in computational power that will enable problems to be solved which are completely beyond the known abilities of any "classical"…

Quantum Physics · Physics 2010-03-16 Parsa Bonderson , Sankar Das Sarma , Michael Freedman , Chetan Nayak

Quantum state tomography is a fundamental tool in quantum information processing. It allows us to estimate the state of a quantum system by measuring different observables on many identically prepared copies of the system. This is, in…

Quantum Physics · Physics 2011-11-28 Carlos A. Riofrío

Sensitivity to noise makes most of the current quantum computing schemes prone to error and nonscalable, allowing only for small proof-of-principle devices. Topologically-protected quantum computing aims at solving this problem by encoding…

Disordered Systems and Neural Networks · Physics 2013-12-17 Helmut G. Katzgraber , Ruben S. Andrist

At transitions between phases of matter, physical systems can exhibit universal behavior independent of their microscopic details. Probing such behavior in quantum many-body systems is a challenging and practically important problem that…

Entanglement properties are routinely used to characterize phases of quantum matter in theoretical computations. For example the spectrum of the reduced density matrix, or so-called "entanglement spectrum", has become a widely used…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Kenny Choo , Curt W. von Keyserlingk , Nicolas Regnault , Titus Neupert

Quantum computing's potential is immense, promising super-polynomial reductions in execution time, energy use, and memory requirements compared to classical computers. This technology has the power to revolutionize scientific applications…

Quantum Physics · Physics 2024-05-01 Samudra Dasgupta

Topological orders can be used as media for topological quantum computing --- a promising quantum computation model due to its invulnerability against local errors. Conversely, a quantum simulator, often regarded as a quantum computing…

Strongly Correlated Electrons · Physics 2017-03-01 Keren Li , Yidun Wan , Ling-Yan Hung , Tian Lan , Guilu Long , Dawei Lu , Bei Zeng , Raymond Laflamme

Recent advances in quantum computers and simulators are steadily leading us towards full-scale quantum computing devices. Due to the fact that debugging is necessary to create any computing device, quantum tomography (QT) is a critical…

Quantum Physics · Physics 2021-10-12 B. I. Bantysh , A. Yu. Chernyavskiy , Yu. I. Bogdanov

Quantum computing is a game-changing technology for global academia, research centers and industries including computational science, mathematics, finance, pharmaceutical, materials science, chemistry and cryptography. Although it has seen…

Quantum Physics · Physics 2023-03-07 He-Liang Huang , Xiao-Yue Xu , Chu Guo , Guojing Tian , Shi-Jie Wei , Xiaoming Sun , Wan-Su Bao , Gui-Lu Long

Exploring the properties and applications of topological quantum states is essential to better understand topological matter. Here, we theoretically study a quasi-one-dimensional topological atom array. In the low-energy regime, the atom…

Quantum Physics · Physics 2020-01-29 Wei Nie , Z. H. Peng , Franco Nori , Yu-xi Liu

Topological symmetries, invertible and otherwise, play a fundamental role in the investigation of quantum field theories. Despite their ubiquitous importance across a multitude of disciplines ranging from string theory to condensed matter…

Quantum Physics · Physics 2025-10-17 Christopher Lamb , Robert M. Konik , Hubert Saleur , Ananda Roy

Methods of processing quantum data become more important as quantum computing devices improve their quality towards fault tolerant universal quantum computers. These methods include discrimination and filtering of quantum states given as an…

Quantum Physics · Physics 2020-02-18 D. V. Babukhin , A. A. Zhukov , W. V. Pogosov

Quantum simulation is a potentially powerful application of quantum computing, holding the promise to be able to emulate interesting quantum systems beyond the reach of classical computing methods. Despite such promising applications, and…

Quantum Physics · Physics 2022-10-07 Kaelyn J. Ferris , A. J. Rasmusson , Nicholas T. Bronn , Olivia Lanes

While there are various approaches to benchmark physical processors, recent findings have focused on computational phase transitions. This is due to several factors. Importantly, the hardest instances appear to be well-concentrated in a…

Quantum Physics · Physics 2021-04-08 Hariphan Philathong , Vishwa Akshay , Ksenia Samburskaya , Jacob Biamonte

The analysis of noisy quantum states prepared on current quantum computers is getting beyond the capabilities of classical computing. Quantum neural networks based on parametrized quantum circuits, measurements and feed-forward can process…

Quantum Physics · Physics 2024-09-19 Petr Zapletal , Nathan A. McMahon , Michael J. Hartmann

Although classifying topological quantum phases have attracted great interests, the absence of local order parameter generically makes it challenging to detect a topological phase transition from experimental data. Recent advances in…

Quantum Gases · Physics 2022-10-12 Entong Zhao , Ting Hin Mak , Chengdong He , Zejian Ren , Ka Kwan Pak , Yu-Jun Liu , Gyu-Boong Jo

Simulating real-time dynamics of gauge theories represents a paradigmatic use case to test the hardware capabilities of a quantum computer, since it can involve non-trivial input states preparation, discretized time evolution, long-distance…

Extracting information from quantum devices has long been a crucial problem in the field of quantum mechanics. By performing elaborate measurements, quantum state tomography, an important and fundamental tool in quantum science and…

Quantum Physics · Physics 2022-06-24 Yu Wang , Keren Li