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We present a fault-tolerant quantum algorithm for implementing the Discrete Variable Representation (DVR) transformation, a technique widely used in simulations of quantum-mechanical Hamiltonians. DVR provides a diagonal representation of…

Quantum Physics · Physics 2025-04-23 Szymon Pliś , Emil Zak

Shuttling of single electrons in gate-defined silicon quantum dots is numerically simulated. A minimal gate geometry without explicit tunnel barrier gates is introduced, and used to define a chain of accumulation mode quantum dots, each…

Quantum Physics · Physics 2021-01-01 Brandon Buonacorsi , Benjamin Shaw , Jonathan Baugh

Stabilizer simulation can efficiently simulate an important class of quantum circuits consisting exclusively of Clifford gates. However, all existing extensions of this simulation to arbitrary quantum circuits including non-Clifford gates…

Quantum Physics · Physics 2023-11-22 Benjamin Bichsel , Anouk Paradis , Maximilian Baader , Martin Vechev

Transport phenomena still stand as one of the most challenging problems in computational physics. By exploiting the analogies between Dirac and lattice Boltzmann equations, we develop a quantum simulator based on pseudospin-boson quantum…

Quantum Physics · Physics 2015-08-20 A. Mezzacapo , M. Sanz , L. Lamata , I. L. Egusquiza , S. Succi , E. Solano

A transport methodology to study the electron transport between quantum dots arrays based in Transfer Hamiltonian approach is presented. The interactions between the quantum dots and between the quantum dots and the electrodes are…

Mesoscale and Nanoscale Physics · Physics 2012-05-10 S. Illera , N. Garcia-Castello , J. D. Prades , A. Cirera

Transport through two quantum dots laterally embedded in Aharonov-Bohm interferometry with infinite intradot and arbitrary interdot Coulomb repulsion is analyzed in the weak coupling and Coulomb blockade regime. By employing the modified…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jing Ma , Bing Dong , X. L. Lei

In this article, we combine the modified electrostatics of a one-dimensional transistor structure with a quantum kinetic formulation of Coulomb interaction and nonequilibrium transport. A multi-configurational self-consistent Green's…

Other Condensed Matter · Physics 2007-05-23 K. M. Indlekofer , J. Knoch , J. Appenzeller

We introduce a new quantum transport formalism based on a map of a real 3-dimensional lead-conductor-lead system into an effective 1-dimensional system. The resulting effective 1D theory is an in principle exact formalism to calculate the…

Other Condensed Matter · Physics 2013-05-29 Pierre Darancet , Valerio Olevano , Didier Mayou

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

The Iterative Quasi-Monte Carlo method, or iQMC, replaces standard quadrature techniques used in deterministic linear solvers with Quasi-Monte Carlo simulation for more accurate and efficient solutions to the neutron transport equation.…

Computational Physics · Physics 2023-06-21 Samuel Pasmann , Ilham Variansyah , C. T. Kelley , Ryan G. McClarren

We present a new recipe for relativistic quantum simulation using the first quantisation approach, under periodic (PBC) and Dirichlet (DBC) boundary conditions. The wavefunction is discretised across a finite grid represented by system…

Quantum Physics · Physics 2025-09-29 Jaewoo Joo , Timothy P. Spiller , Kyunghyun Baek , Jeongho Bang

Carbon quantum dots (CQDs) are a promising material for electronic applications due to their easy fabrication and interesting semiconductor properties. Further, CQDs exhibit quantum confinement and charging effects, which may lead not only…

Mesoscale and Nanoscale Physics · Physics 2025-06-10 Scott Copeland , Sungguen Ryu , Kazunari Imai , Nicholas Krasco , Zhixiang Lu , David Sanchez , Paul Czubarow

Simulation of Electron Transport through two dimensional(2D) waveguide using Quantum Transport Boundary Method (QTBM) is done. Specifically, as an example the results of modeling L-shaped contact for a rectangular waveguide are presented.…

Mesoscale and Nanoscale Physics · Physics 2019-09-16 Raja N. Mir , William R. Frensley

Following Ref. [Oriols X 2007 Phys. Rev. Lett., 98 066803], an algorithm to deal with the exchange interaction in non-separable quantum systems is presented. The algorithm can be applied to fermions or bosons and, by construction, it…

Quantum Physics · Physics 2014-08-05 A. Alarcón , S. Yaro , X. Cartoixà , X. Oriols

The charging of a quantum box connected to a lead by a single-mode point contact is solved for arbitrary temperatures, tunneling amplitudes, and gate voltages, using a variant of Wilson's numerical renormalization group. The charge inside…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Eran Lebanon , Avraham Schiller , Frithjof B. Anders

The quantum stabilizer formalism became foundational for understanding error correction soon after the realization of the first useful quantum error correction codes. Stabilizers provide a way to describe sets of quantum states which are…

Quantum Physics · Physics 2025-08-25 Sean Garner , Chenxu Liu , Meng Wang , Samuel Stein , Ang Li

We investigate nonequilibrium transport in a triple-quantum-dot (TQD) system, where the central dot acts as a discrete tunnel barrier, subject to continuous monitoring by a quantum point contact (QPC) that is capacitively coupled to all…

Mesoscale and Nanoscale Physics · Physics 2026-05-20 Alok Nath Singh , Rafael Sánchez , Andrew N. Jordan

We describe a method for achieving arbitrary 1-qubit gates and controlled-NOT gates within the context of the Single Cooper Pair Box (SCB) approach to quantum computing. Such gates are sufficient to support universal quantum computation.…

Quantum Physics · Physics 2007-05-23 P. Echternach , C. P. Williams , S. C. Dultz , P. Delsing , S. L. Braunstein , J. P. Dowling

Quantum state transport is an important way to study the energy or information flow. By combining the unconventional Rydberg pumping mechanism and the diagonal form of van der Waals interactions, we construct a theoretical model via…

Quantum Physics · Physics 2022-03-10 X. X. Li , J. B. You , X. Q. Shao , Weibin Li

The extent to which quantum computers can simulate physical phenomena and solve the partial differential equations (PDEs) that govern them remains a central open question. In this work, one of the most fundamental PDEs is addressed: the…

Quantum Physics · Physics 2025-08-26 Julien Zylberman , Thibault Fredon , Nuno F. Loureiro , Fabrice Debbasch