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In a system of coupled harmonic oscillators, the interaction can be represented by a real, symmetric and positive definite interaction matrix. The quantization of a Hamiltonian describing such a system has been done in the canonical case.…

Quantum Physics · Physics 2009-11-24 Gilles Regniers , Joris Van der Jeugt

Classical planar vertex models afford transfer matrices with real and positive entries, which makes this class of models suitable for quantum simulations. In this work, we support this statement by building explicit quantum circuits that…

Quantum Physics · Physics 2021-11-02 Jechiel Van Dijk , Emil Prodan

Resonant systems emerge as weakly nonlinear approximations to problems with highly resonant linearized perturbations. Examples include nonlinear Schroedinger equations in harmonic potentials and nonlinear dynamics in Anti-de Sitter…

Mathematical Physics · Physics 2018-12-17 Oleg Evnin , Worapat Piensuk

We analyze the quantum information processing capability of a superconducting transmon circuit used to mediate interactions between quantum information stored in a collection of phononic crystal cavity resonators. Having only a single…

Quantum Physics · Physics 2019-07-31 Marek Pechal , Patricio Arrangoiz-Arriola , Amir H. Safavi-Naeini

Using a shared microwave resonator, we propose a transduction scheme between superconducting qubits and qubit states encoded in the low-lying internal levels of trapped atomic systems. The approach employs atomic Rydberg levels together…

Quantum Physics · Physics 2025-09-18 Fernando L. Semião , Matthias Keller

Quantum spin models are ubiquitous in solid-state physics, but classical simulation of them remains extremely challenging. Experimental testbed systems with a variety of spin-spin interactions and measurement channels are therefore needed.…

Quantum Physics · Physics 2026-03-06 Kellen O'Brien , Maya Amouzegar , Won Chan Lee , Martin Ritter , Alicia J. Kollár

Spectral properties of a quantum circuit are efficiently read out by monitoring the resonance frequency shift it induces in a microwave resonator coupled to it. When the two systems are strongly detuned, theory attributes the shift to an…

Mesoscale and Nanoscale Physics · Physics 2020-08-19 Sunghun Park , C. Metzger , L. Tosi , M. F. Goffman , C. Urbina , H. Pothier , A. Levy Yeyati

Compact inductor-capacitor (LC) resonators, in contrast to coplanar waveguide (CPW) resonators, have a simple lumped-element circuit representation but usually call for sophisticated finite-element method (FEM) simulations for an accurate…

We propose a classical-quantum hybrid algorithm for machine learning on near-term quantum processors, which we call quantum circuit learning. A quantum circuit driven by our framework learns a given task by tuning parameters implemented on…

Quantum Physics · Physics 2019-04-25 Kosuke Mitarai , Makoto Negoro , Masahiro Kitagawa , Keisuke Fujii

A semiclassical simulation approach is presented for studying quantum noise in large-scale photonic circuits incorporating an ideal Kerr nonlinearity. A circuit solver is used to generate matrices defining a set of stochastic differential…

The open electron resonator, described by Duncan et.al, is a mesoscopic device that has attracted considerable attention due to its remarkable behaviour (conductance oscillations), which has been explained by detailed theories based on the…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 C. A. Utreras-Díaz , J. C. Flores , A. Pérez-Ponce

The characterization of quantum critical phenomena is pivotal for the understanding and harnessing of quantum many-body physics. However, their complexity makes the inference of such fundamental processes difficult. Thus, efficient and…

Quantum Physics · Physics 2022-04-27 Ricardo Puebla , Alessio Belenchia , Giulio Gasbarri , Eric Lutz , Mauro Paternostro

We develop a simple continuum model to analyze the vibrational modes of a nanomechanical multi-element structure. In this model, arrays of sub-micron cantilevers located symmetrically on both sides of the central clamped-clamped nanobeam…

Mesoscale and Nanoscale Physics · Physics 2008-02-29 J. Dorignac , A. Gaidarzhy , P. Mohanty

We propose the implementation of a digital quantum simulator for prototypical spin models in a circuit quantum electrodynamics architecture. We consider the feasibility of the quantum simulation of Heisenberg and frustrated Ising models in…

Quantum Physics · Physics 2014-05-23 U. Las Heras , A. Mezzacapo , L. Lamata , S. Filipp , A. Wallraff , E. Solano

In this work we study numerically and analytically the interaction of two qubits in a one-dimensional waveguide, as mediated by the photons that propagate through the guide. We develop strategies to assert the Markovianity of the problem,…

Quantum Physics · Physics 2015-06-25 Guillermo Diaz-Camacho , Diego Porras , Juan Jose Garcia-Ripoll

We study a quantum computing system using microwave photons in transmission line resonators on a superconducting chip as qubits. We show that all control necessary for quantum computing can be implemented by coupling to Josephson devices on…

Quantum Physics · Physics 2015-05-14 Lianghui Du , Yong Hu , Zheng-Wei Zhou , Guang-Can Guo , Xingxiang Zhou

A simple feedback scheme can be used to operate efficiently a microwave-quantum-illumination device based on electro-optomechanical systems also in regimes in which excess dissipation would, otherwise, prevent to outperform the optimal…

Quantum Physics · Physics 2022-09-09 Mehri Sadat Ebrahimi , Stefano Zippilli , David Vitali

We present an extensive introduction to quantum collision models (CMs), also known as repeated interactions schemes: a class of microscopic system-bath models for investigating open quantum systems dynamics whose use is currently spreading…

Quantum Physics · Physics 2022-03-16 Francesco Ciccarello , Salvatore Lorenzo , Vittorio Giovannetti , G. Massimo Palma

We propose a quantum heat engine composed of two superconducting transmission line resonators interacting with each other via an optomechanical-like coupling. One resonator is periodically excited by a thermal pump. The incoherently driven…

Quantum Physics · Physics 2017-12-27 Ali Ü. C. Hardal , Nur Aslan , C. M. Wilson , Özgür E. Müstecaplıoğlu

The exceptionally strong coupling realizable between superconducting qubits and photons stored in an on-chip microwave resonator allows for the detailed study of matter-light interactions in the realm of circuit quantum electrodynamics…

Mesoscale and Nanoscale Physics · Physics 2009-12-21 J. M. Fink , M. Baur , R. Bianchetti , S. Filipp , M. Göppl , P. J. Leek , L. Steffen , A. Blais , A. Wallraff