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We introduce an efficient tensor network toolbox to compute the low-energy excitations of large-scale superconducting quantum circuits up to a desired accuracy. We benchmark this algorithm on the fluxonium qubit, a superconducting quantum…

Quantum Physics · Physics 2021-10-26 Agustin Di Paolo , Thomas E. Baker , Alexandre Foley , David Sénéchal , Alexandre Blais

We demonstrate that perturbative expansions for quantum many-body systems can be rephrased in terms of tensor networks, thereby providing a natural framework for interpolating perturbative expansions across a quantum phase transition. This…

Strongly Correlated Electrons · Physics 2017-09-06 Laurens Vanderstraeten , Michaël Mariën , Jutho Haegeman , Norbert Schuch , Julien Vidal , Frank Verstraete

A general framework is proposed to solve the two-dimensional fully frustrated XY model for the Josephson junction arrays in a perpendicular magnetic field. The essential idea is to encode the ground-state local rules induced by frustrations…

Strongly Correlated Electrons · Physics 2022-04-22 Feng-Feng Song , Guang-Ming Zhang

We discuss the prospect of using quantum properties of large scale Josephson junction arrays for quantum manipulation and simulation. We study the collective vibrational quantum modes of a Josephson junction array and show that they provide…

Quantum Physics · Physics 2009-11-13 Xingxiang Zhou , Ari Mizel

Computing spectral functions in large, non-periodic super-moir\'e systems remains an open problem due to the exceptionally large system size that must be considered. Here, we establish a tensor network methodology that allows computing…

Strongly Correlated Electrons · Physics 2026-05-12 Anouar Moustaj , Yitao Sun , Tiago V. C. Antão , Jose L. Lado

One of the challenging problems in the condensed matter physics is to understand the quantum many-body systems, especially, their physical mechanisms behind. Since there are only a few complete analytical solutions of these systems, several…

Statistical Mechanics · Physics 2020-03-27 Jozef Genzor , Tomotoshi Nishino , Andrej Gendiar

Quantum systems coupled to (non-)Markovian environments attract increasing attention due to their peculiar physical properties. Exciting prospects such as unconventional non-equilibrium phases beyond the Mermin-Wagner limit, or the…

Quantum Physics · Physics 2025-09-10 Philipp Westhoff , Mattia Moroder , Ulrich Schollwöck , Sebastian Paeckel

Designing superconducting quantum hardware requires simulation tools that can account for various deviations from ideal scenarios. This, in turn, requires approaches that automatically detect certain structures and leverage them to make the…

Quantum Physics · Physics 2026-05-28 Adrien Moulinas , Xavier Waintal

Determining the state of a qubit on a timescale much shorter than its relaxation time is an essential requirement for quantum information processing. With the aid of a new type of non-degenerate parametric amplifier, we demonstrate the…

This article demonstrates a new kind of programmable logic for the representation of an integer that can be used for the programmable Josephson voltage standard. It can enable the numbers of junctions in most bits to be variable integer…

Emerging Technologies · Computer Science 2024-08-15 Wenhui Cao , Erkun Yang , Jinjin Li , Guanhua She , Yuan Zhong , Qing Zhong , Da Xu , Xueshen Wang , Xiaolong Xu , Shijian Wang , Jian Chen

We develop a powerful tree tensor network states method that is capable of simulating exciton-phonon quantum dynamics of larger molecular complexes and open quantum systems with multiple bosonic environments. We interface this method with…

Josephson junctions (JJs) are by nature neuromorphic hardware devices capable of mimicking excitability and spiking dynamics. When coupled together or combined with other superconducting elements, they can emulate additional behaviors found…

Chaotic Dynamics · Physics 2025-03-12 G. Baxevanis , J. Hizanidis

Tensor Networks are non-trivial representations of high-dimensional tensors, originally designed to describe quantum many-body systems. We show that Tensor Networks are ideal vehicles to connect quantum mechanical concepts to machine…

High Energy Physics - Phenomenology · Physics 2021-09-09 Jack Y. Araz , Michael Spannowsky

Quantum dots are one of the paradigmatic solid-state systems for quantum engineering, providing an outstanding tunability to explore fundamental quantum phenomena. Here we show that non-Hermitian many-body topological modes can be realized…

Mesoscale and Nanoscale Physics · Physics 2022-02-07 Timo Hyart , Jose L. Lado

Tensor networks are an efficient platform to represent interesting quantum states of matter as well as to compute physical observables and information-theoretic quantities. We present a general protocol to construct fixed-point tensor…

Strongly Correlated Electrons · Physics 2025-08-01 Bader Aldossari , Sergey Blinov , Zhu-Xi Luo

Neuromorphic computing which aims to mimic the collective and emergent behavior of the brain's neurons, synapses, axons, dendrites offers an intriguing, potentially disruptive solution to society's ever-growing computational needs. Although…

Applied Physics · Physics 2021-08-31 Uday S. Goteti , Ivan A. Zaluzhnyy , Shriram Ramanathan , Robert C. Dynes , Alex Frano

Transport through correlated nanoscale systems underpins the operation of quantum-dot and molecular-scale devices, yet accurate simulations of large open quantum systems remain computationally challenging as system size increases.…

Mesoscale and Nanoscale Physics · Physics 2026-04-09 Maximilian Streitberger , Marko J. Rančić

We apply tensor networks to counting statistics for the stochastic particle transport in an out-of-equilibrium diffusive system. This system is composed of a one-dimensional channel in contact with two particle reservoirs at the ends. Two…

Statistical Mechanics · Physics 2022-12-14 Jiayin Gu , Fan Zhang

Circuit quantum electrodynamics (QED) has emerged as a promising platform for implementing quantum computation and simulation. Typically, junctions in these systems are of a sufficiently small size, such that only the lowest plasma…

Quantum Physics · Physics 2025-09-22 Andrey Grankin , Alicia J. Kollár , Mohammad Hafezi

The seminal theoretical works of Berezinskii, Kosterlitz, and Thouless presented a new paradigm for phase transitions in condensed matter that are driven by topological excitations. These transitions have been extensively studied in the…

Quantum Physics · Physics 2020-09-16 R. Cosmic , K. Kawabata , Y. Ashida , H. Ikegami , S. Furukawa , P. Patil , J. M. Taylor , Y. Nakamura
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