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A simple Mathematica code based on the differential realization of hard-core boson operators for finding exact solutions of the periodic-N spin-1/2 systems with or beyond nearest neighbor interactions is proposed, which can easily be used…

Quantum Physics · Physics 2009-11-13 Feng Pan , Xin Guan , Nan Ma , Wen-Juan Han , J. P. Draayer

The last decades have seen a burst of experimental platforms reaching the so-called strong-coupling regime, where quantum coherent effects dominate over incoherent processes such as dissipation and thermalization. This has allowed us to…

Quantum Physics · Physics 2022-04-11 Xiangjin Kong , Carlos Navarrete-Benlloch , Yue Chang

We describe random loop models and their relations to a family of quantum spin systems on finite graphs. The family includes spin 1/2 Heisenberg models with possibly anisotropic spin interactions and certain spin 1 models with…

Mathematical Physics · Physics 2013-08-23 Daniel Ueltschi

The presence of non-local and long-range interactions in quantum systems induces several peculiar features in their equilibrium and out-of-equilibrium behavior. In current experimental platforms control parameters such as interaction range,…

We propose and analyze a setup based on (solid-state) qubits coupled to a common multi-mode transmission line, which allows for coherent spin-spin interactions over macroscopic on-chip distances, without any ground-state cooling…

We show how the spin independent scattering of two initially distant qubits, say, in distinct traps or in remote sites of a lattice, can be used to implement an entangling quantum gate between them. The scattering takes place under 1D…

Quantum Physics · Physics 2017-12-04 Leonardo Banchi , Enrico Compagno , Vladimir Korepin , Sougato Bose

We propose a scheme for implementing quantum gates and entanglement between spin qubits in the outer dots of a triple-dot system with an empty central dot. The voltage applied to the central dot can be tuned to realize the gate. Our scheme…

Quantum Physics · Physics 2015-03-19 Jose Garcia Coello , Sougato Bose

Quantum computers are expected to contribute more efficient and accurate ways of modeling economic processes. Quantum hardware is currently available at a relatively small scale, but effective algorithms are limited by the number of logic…

Quantum Physics · Physics 2024-01-18 Dominic Widdows , Amit Bhattacharyya

The spin gap of a one-dimensional repulsive Hubbard model is numerically calculated with the density matrix renormalization group, with a special emphasis on the effect of a next-nearest neighbor hopping (t') and the nearest-neighbor…

Condensed Matter · Physics 2009-10-30 Ryotaro Arita , Kazuhiko Kuroki , Hideo Aoki , Michele Fabrizio

The scalability of solid state quantum computation relies on the ability of connecting the qubits to the macroscopic world. Quantum chains can be used as quantum wires to keep regions of external control at a distance. However even in the…

Quantum Physics · Physics 2007-06-22 D. Burgarth , V. Giovannetti , S. Bose

Simulations of collisions of fundamental particles on a quantum computer are expected to have an exponential advantage over classical methods and promise to enhance searches for new physics. Furthermore, scattering in scalar field theory…

Quantum Physics · Physics 2025-08-14 Nikita A. Zemlevskiy

For a one-dimensional chain of four nuclear spins (1/2) and taking into account first and second neighbor interactions among the spin system, we make the numerical simulation of Shor prime factorization algorithm of the integer number N=4…

Quantum Physics · Physics 2007-05-23 Gustavo V. Lopez , Lorena Lara

We present a new approach to scalable quantum computing--a ``qubus computer''--which realises qubit measurement and quantum gates through interacting qubits with a quantum communication bus mode. The qubits could be ``static'' matter qubits…

Quantum Physics · Physics 2009-11-11 T. P. Spiller , Kae Nemoto , Samuel L. Braunstein , W. J. Munro , P. van Loock , G. J. Milburn

In this paper, we explore the relationship between the width of a qubit lattice constrained in one dimension and physical thresholds for scalable, fault-tolerant quantum computation. To circumvent the traditionally low thresholds of small…

Quantum Physics · Physics 2022-12-15 Alexis T. E. Shaw , Michael J. Bremner , Alexandru Paler , Daniel Herr , Simon J. Devitt

For the efficient implementation of quantum algorithms, practical ways to generate many-body entanglement are a basic requirement. Specifically, coupling multiple qubit pairs at once can be advantageous and can lead to multi-qubit…

Quantum Physics · Physics 2022-09-30 Maximilian Nägele , Christian Schweizer , Federico Roy , Stefan Filipp

Because of their long coherence times and potential for scalability, semiconductor quantum-dot spin qubits hold great promise for quantum information processing. However, maintaining high connectivity between quantum-dot spin qubits, which…

Mesoscale and Nanoscale Physics · Physics 2021-01-12 Haifeng Qiao , Yadav P. Kandel , Saeed Fallahi , Geoffrey C. Gardner , Michael J. Manfra , Xuedong Hu , John M. Nichol

Two of the major obstacles to achieve quantum computing (QC) are (i) scalability to many qubits and (ii) controlled connectivity between any selected qubits. Using Josephson charge qubits, here we propose an experimentally realizable method…

Superconductivity · Physics 2007-05-23 J. Q. You , J. S. Tsai , Franco Nori

In principle a 1D array of nearest-neighbour linked qubits is compatible with fault tolerant quantum computing. However such a restricted topology necessitates a large overhead for shuffling qubits and consequently the fault tolerance…

Quantum Physics · Physics 2018-06-12 Ying Li , Simon C. Benjamin

We explore the role of electron correlation in quasi one dimensional quantum wires as the range of the interaction potential is changed and their thickness is varied by performing exact quantum Monte Carlo simulations at various electronic…

Strongly Correlated Electrons · Physics 2009-11-13 L. Shulenburger , M. Casula , G. Senatore , R. M. Martin

We prove a general relation between adaptive and non-adaptive strategies in the quantum setting, i.e., between strategies where the adversary can or cannot adaptively base its action on some auxiliary quantum side information. Our relation…

Quantum Physics · Physics 2016-07-28 Frédéric Dupuis , Serge Fehr , Philippe Lamontagne , Louis Salvail