aqora

Quantum computing through electron propagation in edge states of quantum spin Hall systems

Wei Chen, Zheng‐Yuan Xue, Z.D. Wang +2 more

arXiv:1306.6522The European Physical Journal BMar 1, 20144 citations

Quantum computation with quasiparticles of the fractional quantum Hall effect

D. V. Averin, V.J. Goldman

arXiv:cond-mat/0110193Solid State CommunicationsDec 1, 200132 citations

Quantum Entangled Control via Adaptive Quantum Hall Effect (QHEF)

Jincheng Zhang

Quantum Entangled Control via Adaptive Quantum Hall Effect (QHEF) addresses the limitations of traditional quantum entanglement control by introducing a dynamic adjustment of quantum entanglement strength. This novel approach leverages the principles of the quantum Hall Effect (QHEF) to dynamically modify entanglement, enabling precise manipulation and stabilization of quantum systems. The proposed QHEF algorithm provides a fundamentally new method for controlling entangled states, offering improved accuracy and robustness compared to static control schemes. This research explores the design and implementation of a QHEF-based control system, demonstrating its potential to revolutionize quantum computation.Quantum Entangled Control via Adaptive Quantum Hall Effect (QHEF) addresses the limitations of traditional quantum entanglement control by introducing a dynamic adjustment of quantum entanglement strength. This novel approach leverages the principles of the quantum Hall Effect (QHEF) to dynamically modify entanglement, enabling precise manipulation and stabilization of quantum systems. The proposed QHEF algorithm provides a fundamentally new method for controlling entangled states, offering improved accuracy and robustness compared to static control schemes. This research explores the design and implementation of a QHEF-based control system, demonstrating its potential to revolutionize quantum computation.

Aug 31, 20260 citations

Dynamical properties of quantum hall systems

建一浅野

Jan 1, 19990 citations

Nanostructures in the quantum Hall regime

Eero Tölö

The quantum Hall effect observed in a two-dimensional electron gas exposed to a perpendicular magnetic field is one of the most important modern discoveries in condensed matter physics. Advances in technology have allowed both experimental and computer-based theoretical study of miniature-size counterparts of conventional quantum Hall devices. Due to their versatile tunable electronic and magnetic properties, these systems show great promise for future technological applications. This work investigates two-dimensional semiconductor quantum dots and extended quantum rings in the quantum Hall regime. Besides being interesting on purely theoretical grounds as experimentally reachable extreme quantum-mechanical interacting many-body systems, the systems considered have major applicational interest in the realm of quantum information processing. Our emphasis lies in the strongly correlated regime where the enhanced electron-electron interactions lead to a computationally hard problem. For the systems with a few electrons, we employ the in principle exact configuration interaction method, which allows accurate study of the effects of the confinement potential and the effective form of the electron-electron interaction. Larger systems are modeled by Monte Carlo and density functional based methods. Moreover, we develop a computational method based on the reduced density-matrix functional theory to study the physics at the strongly correlated fractional quantum Hall regime with large particle numbers. The main results are related to the interplay of electron correlation and magnetism as well as the effects of tuning the electron correlation through sample engineering. The results on magnetism may find applications in future spintronics devices and spin qubits. Meanwhile, the results on electron correlation are relevant for the attempts to utilize fractional quantum Hall states in topologically protected quantum computing.The quantum Hall effect observed in a two-dimensional electron gas exposed to a perpendicular magnetic field is one of the most important modern discoveries in condensed matter physics. Advances in technology have allowed both experimental and computer-based theoretical study of miniature-size counterparts of conventional quantum Hall devices. Due to their versatile tunable electronic and magnetic properties, these systems show great promise for future technological applications. This work investigates two-dimensional semiconductor quantum dots and extended quantum rings in the quantum Hall regime. Besides being interesting on purely theoretical grounds as experimentally reachable extreme quantum-mechanical interacting many-body systems, the systems considered have major applicational interest in the realm of quantum information processing. Our emphasis lies in the strongly correlated regime where the enhanced electron-electron interactions lead to a computationally hard problem. For the systems with a few electrons, we employ the in principle exact configuration interaction method, which allows accurate study of the effects of the confinement potential and the effective form of the electron-electron interaction. Larger systems are modeled by Monte Carlo and density functional based methods. Moreover, we develop a computational method based on the reduced density-matrix functional theory to study the physics at the strongly correlated fractional quantum Hall regime with large particle numbers. The main results are related to the interplay of electron correlation and magnetism as well as the effects of tuning the electron correlation through sample engineering. The results on magnetism may find applications in future spintronics devices and spin qubits. Meanwhile, the results on electron correlation are relevant for the attempts to utilize fractional quantum Hall states in topologically protected quantum computing.

Jan 1, 20100 citations

A duality construction for interacting quantum Hall systems

Johannes N. Kriel

Mar 1, 20110 citations

Quantum computation in quantum-Hall systems

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