Article
Multidisciplinary Sciences
L. Funcke, T. Hartung, K. Jansen, S. Kuhn, M. Schneider, P. Stornati, X. Wang
Summary: We review two algorithmic advances that bring us closer to reliable quantum simulations on noisy intermediate-scale quantum devices in high-energy physics and beyond. The first method is the dimensional expressivity analysis of quantum circuits, which allows for constructing minimal but maximally expressive quantum circuits. The second method is an efficient mitigation of readout errors on quantum devices. These methods have the potential to significantly improve quantum simulations, particularly when variational quantum eigensolvers are used.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2022)
Review
Physics, Multidisciplinary
Bin Cheng, Xiu-Hao Deng, Xiu Gu, Yu He, Guangchong Hu, Peihao Huang, Jun Li, Ben-Chuan Lin, Dawei Lu, Yao Lu, Chudan Qiu, Hui Wang, Tao Xin, Shi Yu, Man-Hong Yung, Junkai Zeng, Song Zhang, Youpeng Zhong, Xinhua Peng, Franco Nori, Dapeng Yu
Summary: In the past decade, quantum computers have made remarkable progress and achieved key milestones towards universal fault-tolerant quantum computers. Quantum hardware has become more integrated and architectural, surpassing the fault-tolerant threshold in controlling various physical systems. Quantum computation research has embraced industrialization and commercialization, shaping a vibrant environment that accelerates the development of this field, now in the noisy intermediate-scale quantum era.
FRONTIERS OF PHYSICS
(2023)
Article
Optics
Michael Kreshchuk, Shaoyang Jia, William M. Kirby, Gary Goldstein, James P. Vary, Peter J. Love
Summary: The research demonstrates how calculations of pions' light-front wave functions can be performed on quantum processors within the basis light-front quantization framework, allowing for the calculation of physical quantities. This can help facilitate the application between quantum chemistry and quantum field theory.
Article
Engineering, Electrical & Electronic
Yifan Zhou, Peng Zhang, Fei Feng
Summary: This paper presents a new NISQ-QEMTP methodology that overcomes the existing challenges in practical and scalable quantum computing for electromagnetic transient programs. It includes the design of shallow-depth quantum circuits for reducing noise on NISQ quantum devices, practical QEMTP linear solvers with executable quantum state preparation and measurements, a noise-resilient QEMTP algorithm, quantum shifted frequency analysis for faster computations, and a systematic analysis of QEMTP performance under various quantum environments. Extensive experiments confirm the effectiveness and noise-resilience of QEMTP on both noise-free simulators and IBM real quantum computers.
IEEE TRANSACTIONS ON POWER SYSTEMS
(2023)
Article
Quantum Science & Technology
Abhinav Deshpande, Pradeep Niroula, Oles Shtanko, Alexey V. Gorshkov, Bill Fefferman, Michael J. Gullans
Summary: In this study, we analyze the output distributions of noisy random circuits and derive upper and lower bounds on the expected distance between the output distribution and the uniform distribution. Our findings have implications for the hardness proofs of sampling schemes aiming to demonstrate quantum computational advantage. We also present recent barrier results for depth-agnostic and/or noise-agnostic proof techniques, showing that noise-agnostic techniques may still be applicable in certain depth regimes.
Article
Physics, Multidisciplinary
K. Zhang, K. Yu, V. Korepin
Summary: This paper introduces a method to improve quantum search algorithms on NISQ devices and presents experimental results on different quantum processors. The results show that designing error-aware quantum search algorithms is feasible and can maximize the power of NISQ computers.
Article
Computer Science, Artificial Intelligence
Giovanni Acampora, Ferdinando Di Martino, Alfredo Massa, Roberto Schiattarella, Autilia Vitiello
Summary: This paper introduces the concept of Distributed Noisy-Intermediate Scale Quantum (D-NISQ) as a reference computational model to design innovative frameworks for quantum devices to interact and solve complex problems collaboratively. Through two case studies, a multi-threaded implementation of the D-NISQ model demonstrates greater reliability in solving problems through quantum computation.
INFORMATION FUSION
(2023)
Article
Optics
Kishor Bharti, Tobias Haug, Vlatko Vedral, Leong-Chuan Kwek
Summary: Semidefinite programs are widely used convex optimization problems with applications in various fields. Noisy intermediate-scale quantum algorithms aim to efficiently use current quantum hardware. We propose a NISQ algorithm for solving SDPs and provide numerical evidence of its improvements in estimating ground-state energies.
Article
Optics
Konstantinos Georgopoulos, Clive Emary, Paolo Zuliani
Summary: This paper explores two circuit approaches for quantum walks: generalized controlled inversions and rotation operations around the basis states. The rotational implementation is theoretically well-founded and reduces the need for ancilla qubits. Comparisons between the two architectures show that the inverter approach requires fewer gates but almost half the qubits in the system. Experimental results on an IBM quantum computer reveal effects of noise on the circuits, with small-scale quantum walks closer to expectations than larger ones.
Article
Engineering, Electrical & Electronic
Alessandro Trenti, Martin Achleitner, Florian Prawits, Bernhard Schrenk, Hauke Conradi, Moritz Kleinert, Alfonso Incoronato, Francesco Zanetto, Franco Zappa, Ilaria Di Luch, Ozan Cirkinoglu, Xaveer Leijtens, Antonio Bonardi, Cedric Bruynsteen, Xin Yin, Christian Kiessler, Harald Herrmann, Christine Silberhorn, Mathieu Bozzio, Philip Walther, Hannah C. Thiel, Gregor Weihs, Hannes Huebel
Summary: This article presents the results of the Quantum Technology Flagship project UNIQORN in the field of integrated photonics for quantum communication applications. Different integration platforms, including indium phosphide, polymer, and CMOS-compatible silicon platforms, were used to manufacture components and sub-systems for quantum communication devices. The indium phosphide platform was used to produce a transmitter chip for quantum key distribution, while the polymer platform was utilized for engineering non-classical light sources. Additionally, a quantum random number generator and a transimpedance amplifier based on gallium arsenide high electron mobility transistors were also fabricated.
JOURNAL OF LIGHTWAVE TECHNOLOGY
(2022)
Article
Multidisciplinary Sciences
S. Moradi, C. Brandner, C. Spielvogel, D. Krajnc, S. Hillmich, R. Wille, W. Drexler, L. Papp
Summary: Quantum machine learning has made significant progress in recent years and shows promising performance on real clinical datasets. We propose two quantum machine learning algorithms and demonstrate their effectiveness through experiments. We also find that different algorithms have different advantages depending on the sample and feature counts.
SCIENTIFIC REPORTS
(2022)
Review
Physics, Multidisciplinary
Kishor Bharti, Alba Cervera-Lierta, Thi Ha Kyaw, Tobias Haug, Sumner Alperin-Lea, Abhinav Anand, Matthias Degroote, Hermanni Heimonen, Jakob S. Kottmann, Tim Menke, Wai-Keong Mok, Sukin Sim, Leong-Chuan Kwek, Alan Aspuru-Guzik
Summary: NISQ computers, composed of noisy qubits, are already being used in various fields. This review provides a comprehensive summary of NISQ computational paradigms and algorithms and introduces various benchmarking and software tools for programming and testing NISQ devices.
REVIEWS OF MODERN PHYSICS
(2022)
Review
Quantum Science & Technology
Lin Jiao, Wei Wu, Si-Yuan Bai, Jun-Hong An
Summary: This paper provides a review of the principle, categories, and applications of quantum metrology. Attention is focused on achieving high precision measurements in the presence of noise, and the effects of noise-induced decoherence on quantum resources are discussed. The paper also explores methods for actively controlling the effects of noise in noisy quantum metrology.
ADVANCED QUANTUM TECHNOLOGIES
(2023)
Review
Physics, Multidisciplinary
Kai Xu, Heng Fan
Summary: This article reviews the research progress on noisy multiqubit quantum computation and quantum simulation, focusing on multiqubit state generations, quantum computational advantage, and simulating physics of quantum many-body systems. The perspectives of near term noisy intermediate-quantum processors are also discussed.
Article
Quantum Science & Technology
Kevin J. Sung, Marko J. Rancic, Olivia T. Lanes, Nicholas T. Bronn
Summary: In this work, we use a noisy superconducting quantum processor to prepare Majorana zero modes (MZMs) as eigenstates of the Kitaev chain Hamiltonian, a model of non-interacting fermions. We extend error mitigation techniques to the case of general fermionic Gaussian states and demonstrate them by preparing MZMs on systems of up to seven qubits.
QUANTUM SCIENCE AND TECHNOLOGY
(2023)
Article
Chemistry, Physical
Juergen Schnack, Johannes Richter, Tjark Heitmann, Jonas Richter, Robin Steinigeweg
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
(2020)
Article
Chemistry, Physical
Tjark Heitmann, Jonas Richter, Dennis Schubert, Robin Steinigeweg
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
(2020)
Article
Physics, Multidisciplinary
Jonas Richter, Tjark Heitmann, Robin Steinigeweg
Article
Physics, Multidisciplinary
Jiaozi Wang, Mats H. Lamann, Jonas Richter, Robin Steinigeweg, Anatoly Dymarsky, Jochen Gemmer
Summary: This article investigates the correlations between matrix elements of observable's matrix in the energy eigenbasis in isolated quantum many-body systems. By introducing a new numerical approach, it is found that matrix elements still remain correlated even in narrow energy windows. These residual correlations are reflected in the dynamics of out-of-time-ordered correlation functions.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Jonas Richter, Oliver Lunt, Arijeet Pal
Summary: Conservation laws can limit entanglement dynamics in isolated quantum systems, resulting in a slower increase of higher Renyi entropies. In this study, we investigate this phenomenon in a specific class of long-range random Clifford circuits with U(1) symmetry, where the transport behavior can range from diffusive to superdiffusive. We find that the different hydrodynamic regimes are reflected in the asymptotic entanglement growth, following S(t) oc t1/z, with the transport exponent z dependent on the probability of gates spanning a distance r. Our findings reveal the underlying mechanism of operator spreading inhibition in U(1)-symmetric Clifford circuits and establish connections between Clifford circuits and general many-body quantum dynamics.
PHYSICAL REVIEW RESEARCH
(2023)
Article
Physics, Multidisciplinary
Tjark Heitmann, Jonas Richter, Fengping Jin, Kristel Michielsen, Hans De Raedt, Robin Steinigeweg
Summary: This study provides a detailed comparison of the dynamics of high-temperature spatiotemporal correlation functions in quantum and classical spin models. It is found that the quantum and classical dynamics exhibit remarkably good agreement, not only in the bulk but also in the tails of the resulting density distribution. The comparison is based on the analysis of space-time profiles of the spin and energy correlation functions, and the mean-squared displacement of the density profiles.
PHYSICAL REVIEW RESEARCH
(2022)
Article
Materials Science, Multidisciplinary
Jonas Richter, Arijeet Pal
Summary: Disordered quantum systems undergoing a many-body localization (MBL) transition fail to reach thermal equilibrium under their own dynamics. Distinguishing between asymptotically localized or delocalized dynamics based on numerical results is, however, nontrivial due to finite-size effects. In this study, we demonstrate that numerical linked cluster expansions (NLCE) provide a powerful tool to explore MBL by simulating quench dynamics in disordered spin-1/2 two-leg ladders and Fermi-Hubbard chains. The results show that NLCE outperforms direct simulations of finite systems with open or periodic boundaries, especially for intermediate disorder below the putative MBL transition.
Article
Physics, Multidisciplinary
Jonas Richter, Arijeet Pal
Summary: This study investigates the interplay between scarring and weak fragmentation in a class of one-dimensional spin-1 frustration-free projector Hamiltonians, known as deformed Motzkin chain. The research reveals that at high energies, the specific form of the projectors leads to the emergence of disjoint Krylov subspaces, resulting in slow growth of entanglement and localized dynamics. Furthermore, it uncovers that spin transport is subdiffusive at infinite temperature.
PHYSICAL REVIEW RESEARCH
(2022)
Article
Physics, Fluids & Plasmas
Tjark Heitmann, Jonas Richter, Jochen Gemmer, Robin Steinigeweg
Summary: Recent studies suggest that in most cases, unperturbed dynamics undergoes damping according to Fermi's golden rule. However, it remains unclear how often counterexamples to this typical behavior occur and under what conditions.
Article
Materials Science, Multidisciplinary
Dennis Schubert, Jonas Richter, Fengping Jin, Kristel Michielsen, Hans De Raedt, Robin Steinigeweg
Summary: The study compares the spin and energy dynamics in quantum and classical spin models on different geometries, focusing on the autocorrelation functions of local densities at formally infinite temperature. The findings suggest that classical or semiclassical simulations can provide a meaningful strategy to analyze the dynamics of quantum many-body models, even for small spin quantum numbers far from the classical limit.
Article
Materials Science, Multidisciplinary
Jared Jeyaretnam, Jonas Richter, Arijeet Pal
Summary: The study reveals the existence of many-body scars in SPT phases and their impact on bulk coherence. Additionally, scarred eigenstates exhibit non-thermal dynamics and support topological order at finite energy densities. This sheds light on the role of quantum many-body scars in preserving SPT order and the possibility of coherent bulk dynamics in models with SPT order beyond the existence of long-lived edge modes.
Article
Physics, Multidisciplinary
Jonas Richter, Dennis Schubert, Robin Steinigeweg
PHYSICAL REVIEW RESEARCH
(2020)
Article
Physics, Fluids & Plasmas
Jonas Richter, Anatoly Dymarsky, Robin Steinigeweg, Jochen Gemmer
Article
Materials Science, Multidisciplinary
Tjark Heitmann, Jonas Richter, Thomas Dahm, Robin Steinigeweg