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As the basis for generating multi-particle quantum correlations, inter-particle interaction plays a crucial role in collective quantum phenomena, quantum phase transitions, and quantum information processing. It can profoundly alter the…

Quantum annealing (QA) is a heuristic algorithm for finding low-energy configurations of a system, with applications in optimization, machine learning, and quantum simulation. Up to now, all implementations of QA have been limited to qubits…

We propose and analyze an interface between a topological qubit and a superconducting flux qubit. In our scheme, the interaction between Majorana fermions in a topological insulator is coherently controlled by a superconducting phase that…

Mesoscale and Nanoscale Physics · Physics 2011-04-01 Liang Jiang , Charles L. Kane , John Preskill

We propose a method to implement a kind of non-local operations between spatially separated two systems with arbitrary high-dimensions by using only low-dimensional qubit quantum channels and classical bit communications. The result may be…

Quantum Physics · Physics 2007-05-23 Hao-Sheng Zeng , Yong-Guang Shan , Jian-Jun Nie , Le-Man Kuang

Encoding and manipulation of quantum information by means of topological degrees of freedom provides a promising way to achieve natural fault-tolerance that is built-in at the physical level. We show that this topological approach to…

Quantum Physics · Physics 2009-11-07 Paolo Zanardi , Seth Lloyd

Thouless pumping is a mechanism to perform topologically protected transport of particles by adiabatically modulating the Hamiltonian. The transported current is a topological invariant that is intimately related to the integer quantum Hall…

Quantum Physics · Physics 2023-01-06 V. M. Bastidas

The possibility of making a flux qubit on nonsuperconducting mesoscopic ballistic quasi 1D ring is discussed. We showed that such ring can be effectively reduced to a two-state system with two external control parameters. The two states…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. Zipper , M. Kurpas , M. Szelag , J. Dajka , M. Szopa

We study the evolution of spin-orbital correlations in an inhomogeneous quantum system with an impurity replacing a doublon by a holon orbital degree of freedom. Spin-orbital entanglement is large when spin correlations are…

Strongly Correlated Electrons · Physics 2018-04-04 Wojciech Brzezicki , Mario Cuoco , Filomena Forte , Andrzej M. Oleś

We show that quantum operations on multi-particle systems have a non-local content; this mirrors the non-local content of quantum states. We introduce a general framework for discussing the non-local content of quantum operations, and give…

Quantum Physics · Physics 2023-03-27 Daniel Collins , Noah Linden , Sandu Popescu

Efficient communication between qubits relies on robust networks which allow for fast and coherent transfer of quantum information. It seems natural to harvest the remarkable properties of systems characterized by topological invariants to…

Quantum Physics · Physics 2017-11-23 Nicolai Lang , Hans Peter Büchler

Topological physics opens up a plethora of exciting phenomena allowing to engineer disorder-robust unidirectional flows of light. Recent advances in topological protection of electromagnetic waves suggest that even richer functionalities…

We investigate a hybrid quantum system involving spin qubits, based on the spins of electrons confined in quantum dots, and topological qubits, based on Majorana fermions. In such a system, gated control of the charge on the quantum dots…

Mesoscale and Nanoscale Physics · Physics 2013-01-10 Martin Leijnse , Karsten Flensberg

We study strongly correlated fractional topological phases on a two-sphere threaded by a magnetic dipole field with globally vanishing flux. Solving the Dirac equation in this background produces spheroidal wavefunctions forming a highly…

Strongly Correlated Electrons · Physics 2025-07-08 Jeff Murugan

We study the interaction between a topological insulator nanoparticle and a quantum dot subject to an applied electric field. The electromagnetic response of the topological insulator is derived from axion electrodynamics in the quasistatic…

Quantum Physics · Physics 2020-08-26 L. A. Castro-Enriquez , L. F. Quezada , A. Martín-Ruiz

A topological 'Thouless' pump represents the quantised motion of particles in response to a slow, cyclic modulation of external control parameters. The Thouless pump, like the quantum Hall effect, is of fundamental interest in physics…

Quantum computers will work by evolving a high tensor power of a small (e.g. two) dimensional Hilbert space by local gates, which can be implemented by applying a local Hamiltonian H for a time t. In contrast to this quantum engineering,…

Quantum Physics · Physics 2009-11-06 Michael H. Freedman , Alexei Kitaev , Zhenghan Wang

The existence of boundary states and their protection against symmetry-preserving perturbations are a hallmark feature of topological systems. While this concept originally emerged in the context of sin-gle-particle phenomena in…

Topology plays a central role in ensuring the robustness of a wide variety of physical phenomena. Notable examples range from the robust current carrying edge states associated with the quantum Hall and the quantum spin Hall effects to…

We present a theoretical proposal to couple a single Nitrogen-Vacancy (NV) center to a superconducting flux qubit (FQ) in the regime where both systems are off resonance. The coupling between both quantum devices is achieved through the…

Quantum Physics · Physics 2015-12-09 Tom Douce , Michael Stern , Nicim Zagury , Patrice Bertet , Pérola Milman

By means of time-dependent density matrix renormalization group calculations we study topological quantum pumping in a strongly interacting system. The system under consideration is described by the Hamiltonian of a one-dimensional extended…

Strongly Correlated Electrons · Physics 2013-02-26 Davide Rossini , Marco Gibertini , Vittorio Giovannetti , Rosario Fazio