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相关论文: Topological Quantum Computation with Non-Abelian A…

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Topological quantum computation has recently emerged as one of the most exciting approaches to constructing a fault-tolerant quantum computer. The proposal relies on the existence of topological states of matter whose quasiparticle…

强关联电子 · 物理学 2009-11-13 Chetan Nayak , Steven H. Simon , Ady Stern , Michael Freedman , Sankar Das Sarma

We investigate a promising conformal field theory realization scheme for topological quantum computation based on the Fibonacci anyons, which are believed to be realized as quasiparticle excitations in the $\mathbb{Z}_3$ parafermion…

量子物理 · 物理学 2024-04-04 Lachezar S. Georgiev , Ludmil Hadjiivanov , Grigori Matein

Topological quantum computation encodes quantum information in the internal fusion space of non-Abelian anyonic quasiparticles, whose braiding implements logical gates. This goes beyond Abelian topological order (TO) such as the toric code,…

We extend the topological quantum computation scheme using the Pfaffian quantum Hall state, which has been recently proposed by Das Sarma et al., in a way that might potentially allow for the topologically protected construction of a…

介观与纳米尺度物理 · 物理学 2007-05-23 Lachezar S. Georgiev

Topological quantum computation is an implementation of a quantum computer in a way that radically reduces decoherence. Topological qubits are encoded in the topological evolution of two-dimensional quasi-particles called anyons and…

量子物理 · 物理学 2020-08-11 Mohamed Taha Rouabah

Fractional quantum Hall (FQH) states host fractionally charged anyons with exotic exchange statistics. Of particular interest are FQH phases supporting non-Abelian anyons, which can encode topologically protected quantum information. In…

强关联电子 · 物理学 2026-01-26 Koyena Bose

A universal quantum computer can be constructed using abelian anyons. Two qubit quantum logic gates such as controlled-NOT operations are performed using topological effects. Single-anyon operations such as hopping from site to site on a…

量子物理 · 物理学 2007-05-23 Seth Lloyd

Topological quantum computers provide a fault-tolerant method for performing quantum computation. Topological quantum computers manipulate topological defects with exotic exchange statistics called anyons. The simplest anyon model for…

量子物理 · 物理学 2022-04-01 Yuanye Zhu

A quantum computer can perform exponentially faster than its classical counterpart. It works on the principle of superposition. But due to the decoherence effect, the superposition of a quantum state gets destroyed by the interaction with…

量子物理 · 物理学 2022-08-23 Muhammad Ilyas

Topological quantum computers promise a fault tolerant means to perform quantum computation. Topological quantum computers use particles with exotic exchange statistics called non-Abelian anyons, and the simplest anyon model which allows…

量子物理 · 物理学 2018-06-08 Bernard Field , Tapio Simula

Ising-type non-Abelian anyons are likely to occur in a number of physical systems, including quantum Hall systems, where recent experiments support their existence. In general, non-Abelian anyons may be utilized to provide a topologically…

强关联电子 · 物理学 2010-05-11 Parsa Bonderson , David J. Clarke , Chetan Nayak , Kirill Shtengel

Non-Abelian topological orders offer an intriguing path towards fault-tolerant quantum computation, where information can be encoded and manipulated in a topologically protected manner immune to arbitrary local noises and perturbations.…

A quantum computer can perform exponentially faster than its classical counterpart. It works on the principle of superposition. But due to the decoherence effect, the superposition of a quantum state gets destroyed by the interaction with…

量子物理 · 物理学 2022-09-28 Muhammad Ilyas , Shawn Cui , Marek Perkowski

Quantum gates in topological quantum computation are performed by braiding non-Abelian anyons. These braiding processes can presumably be performed with very low error rates. However, to make a topological quantum computation architecture…

量子物理 · 物理学 2016-04-22 Adrian Hutter , James R. Wootton

Non-Abelian anyons promise to reveal spectacular features of quantum mechanics that could ultimately provide the foundation for a decoherence-free quantum computer. A key breakthrough in the pursuit of these exotic particles originated from…

Topological quantum computation relies on control of non-Abelian anyons for inherently fault-tolerant storage and processing of quantum information. By now, blueprints for topological qubits are well developed for electrically active…

强关联电子 · 物理学 2024-11-14 Kai Klocke , Yue Liu , Gábor B. Halász , Jason Alicea

We study various aspects of the topological quantum computation scheme based on the non-Abelian anyons corresponding to fractional quantum hall effect states at filling fraction 5/2 using the Temperley-Lieb recoupling theory. Unitary…

介观与纳米尺度物理 · 物理学 2015-05-18 Zheyong Fan , Hugo de Garis

Topological quantum computation provides an elegant way around decoherence, as one encodes quantum information in a non-local fashion that the environment finds difficult to corrupt. Here we establish that one of the key…

介观与纳米尺度物理 · 物理学 2015-05-19 Jason Alicea , Yuval Oreg , Gil Refael , Felix von Oppen , Matthew P. A. Fisher

We study the non-abelian statistics characterizing systems where counter-propagating gapless modes on the edges of fractional quantum Hall states are gapped by proximity-coupling to superconductors and ferromagnets. The most transparent…

介观与纳米尺度物理 · 物理学 2012-11-27 Netanel H. Lindner , Erez Berg , Gil Refael , Ady Stern

Fractional quantum Hall systems (FQH), due to their experimentally observed anyonic topological order, are a main contender for future hardware-implementation of error-protected quantum registers ("topological qbits") subject to…

介观与纳米尺度物理 · 物理学 2025-07-03 Hisham Sati , Urs Schreiber
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