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Ensuring safety and driving consistency is a significant challenge for autonomous vehicles operating in partially observed environments. This work introduces a consistent parallel trajectory optimization (CPTO) approach to enable safe and…

Robotics · Computer Science 2026-05-12 Lei Zheng , Rui Yang , Minzhe Zheng , Michael Yu Wang , Jun Ma

The Vehicle Routing Problem (VRP) is a fundamental combinatorial optimization challenge with broad applications in logistics and transportation. In this work, we present a quantum-assisted framework that integrates the Quantum Approximate…

Quantum Physics · Physics 2026-01-28 Talha Azfar , Osama Muhammad Raisuddin , Ruimin Ke , Jose Holguin-Veras

By introducing two polar coordinates transformations, the marine vessel's original two-input-three-output second-order tracking model can be reduced to a two-input-two-output feedback form. However, the resulting system does not confirm to…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Ji-Hong Li

Scaling of semiconductor devices has reached a stage where it has become absolutely imperative to consider the quantum mechanical aspects of transport in these ultra small devices. In these simulations, often one excludes a rigorous band…

Mesoscale and Nanoscale Physics · Physics 2008-01-08 D. Basu , M. J. Gilbert , L. F. Register , S. K. Banerjee

The quantum dissipative dynamics of a tunneling process through double barrier structures is investigated on the basis of a rigorous treatment for the first time. We employ a Caldeira-Leggett Hamiltonian with an effective potential…

Mesoscale and Nanoscale Physics · Physics 2013-02-28 Atsunori Sakurai , Yoshitaka Tanimura

Properties of one-dimensional (1D) arrays of low Ohmic tunnel junctions (i.e. junctions with resistances comparable to, or less than, the quantum resistance $R_{\rm q}\equiv h/e^2\approx 25.8$ k$\Omega$) have been studied experimentally and…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Sh. Farhangfar , R. S. Poikolainen , J. P. Pekola , D. S. Golubev , A. D. Zaikin

Quantum computing with discrete variable (DV, qubit) hardware is approaching the large scales necessary for computations beyond the reach of classical computers. However, important use cases such as quantum simulations of physical models…

We present benchmarking results for single-qubit gates implemented on a neutral atom quantum processor using Direct Randomized Benchmarking (DRB) and Gate Set Tomography (GST). The DRB protocol involves preparing stabilizer states, applying…

Quantum Physics · Physics 2026-04-17 Artem Rozanov , Boris Bantysh , Ivan Bobrov , Gleb Struchalin , Stanislav Straupe

The advection-diffusion equation is simulated on a superconducting quantum computer via several quantum algorithms. Three formulations are considered: (1) Trotterization, (2) variational quantum time evolution (VarQTE), and (3) adaptive…

The simulation of strongly correlated fermionic systems remains one of the most significant challenges in computational physics due to the exponential growth of the Hilbert space and the fermionic sign problem. In this work, we present a…

Quantum Physics · Physics 2026-02-18 Hugo Catala , Ezequiel Valero , German Rodrigo

In 1981, Richard Feynman discussed the possibility of performing quantum mechanical simulations of nature. Ever since, there has been an enormous interest in using quantum mechanical systems, known as quantum simulators, to mimic specific…

The Fermi-Hubbard model, a fundamental framework for studying strongly correlated phenomena could significantly benefit from quantum simulations when exploring non-trivial settings. However, simulating this problem requires twice as many…

Quantum Physics · Physics 2024-02-05 Arian Vezvaee , Nathan Earnest-Noble , Khadijeh Najafi

We introduce in this work an efficient numerical method for the simulation of the quantum Liouville-BGK equation, which models the diffusive transport of quantum particles. The corner stone to the model is the BGK collision operator,…

Numerical Analysis · Mathematics 2021-03-12 Sophia Potoczak Bragdon , Olivier Pinaud

The Quantum Lattice Boltzmann Method (QLBM) has emerged as one of the most promising quantum computing approaches for the numerical simulation of problems in computational fluid dynamics (CFD). The dynamics is formulated in terms of…

In this work we present an experimental demonstration of the Contextual Subspace Variational Quantum Eigensolver on superconducting quantum hardware. In particular, we compute the potential energy curve for molecular nitrogen, where a…

Quantum Physics · Physics 2025-02-13 Tim Weaving , Alexis Ralli , Peter J. Love , Sauro Succi , Peter V. Coveney

In this book chapter, we provide a tutorial introduction to one-way quantum computation and many of the techniques one can use to understand it. The techniques which are described include the stabilizer formalism and the logical Heisenberg…

Quantum Physics · Physics 2016-09-08 Dan E. Browne , Hans J. Briegel

We describe the "Linear Response Transport Centre" (LinReTraCe), a package for the simulation of transport properties of solids. LinReTraCe captures quantum (in)coherence effects beyond semi-classical Boltzmann techniques, while incurring…

Materials Science · Physics 2023-08-11 Matthias Pickem , Emanuele Maggio , Jan M. Tomczak

Single-electron circuits of the future, consisting of a network of quantum dots, will require a mechanism to transport electrons from one functional part to another. For example, in a quantum computer[1] decoherence and circuit complexity…

Mesoscale and Nanoscale Physics · Physics 2011-11-02 R. P. G. McNeil , M. Kataoka , C. J. B. Ford , C. H. W. Barnes , D. Anderson , G. A. C. Jones , I. Farrer , D. A. Ritchie

Single-electron pumps based on tunable-barrier quantum dots are the most promising candidates for a direct realization of the unit ampere in the recently revised SI: they are simple to operate and show high precision at high operation…

Mesoscale and Nanoscale Physics · Physics 2022-05-24 Frank Hohls , Vyacheslavs Kashcheyevs , Friederike Stein , Tobias Wenz , Bernd Kaestner , Hans W. Schumacher

Limited quantum memory is one of the most important constraints for near-term quantum devices. Understanding whether a small quantum computer can simulate a larger quantum system, or execute an algorithm requiring more qubits than…

Quantum Physics · Physics 2020-12-10 Tianyi Peng , Aram Harrow , Maris Ozols , Xiaodi Wu