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Simulating the topological phases of matter in synthetic quantum simulators is a topic of considerable interest. Given the universality of digital quantum simulators, the prospect of digitally simulating exotic topological phases is greatly…

Quantum Physics · Physics 2020-10-21 Feng Mei , Qihao Guo , Ya-Fei Yu , Liantuan Xiao , Shi-Liang Zhu , Suotang Jia

Majorana-based quantum gates are not complete for performing universal topological quantum computation while Fibonacci-based gates are difficult to be realized electronically and hardly coincide with the conventional quantum circuit models.…

Strongly Correlated Electrons · Physics 2022-04-07 Ye-Min Zhan , Yu-Ge Chen , Bin Chen , Ziqiang Wang , Yue Yu , Xi Luo

The boundary of topological superconductors might lead to the appearance of Majorana edge modes, whose non-trivial exchange statistics can be used for topological quantum computing. In branched nanowire networks one can exchange Majorana…

Mesoscale and Nanoscale Physics · Physics 2020-09-09 C. Tutschku , R. W. Reinthaler , C. Lei , A. H. MacDonald , E. M. Hankiewicz

The development of a large scale quantum computer is a highly sought after goal of fundamental research and consequently a highly non-trivial problem. Scalability in quantum information processing is not just a problem of qubit…

Experimental groups are now fabricating quantum processors powerful enough to execute small instances of quantum algorithms and definitively demonstrate quantum error correction that extends the lifetime of quantum data, adding urgency to…

Quantum Physics · Physics 2016-09-23 Rodney Van Meter , Simon J. Devitt

We report an experimental realization of one-way quantum computing on a two-photon four-qubit cluster state. This is accomplished by developing a two-photon cluster state source entangled both in polarization and spatial modes. With this…

Quantum Physics · Physics 2012-10-30 Kai Chen , Che-Ming Li , Qiang Zhang , Yu-Ao Chen , Alexander Goebel , Shuai Chen , Alois Mair , Jian-Wei Pan

Construction of explicit quantum circuits follows the notion of the "standard circuit model" introduced in the solid and profound analysis of elementary gates providing quantum computation. Nevertheless the model is not always optimal (e.g.…

Quantum Physics · Physics 2007-05-23 K. Ch. Chatzisavvas , C. Daskaloyannis , C. P. Panos

Topological quantum computation using non-Abelian Majorana zero modes localized in proximitized semiconductor nanowires requires careful electrostatic control of wire-junctions so as to manipulate and braid the zero modes enabling anyonic…

Mesoscale and Nanoscale Physics · Physics 2018-01-16 Tudor D. Stanescu , Sankar Das Sarma

It is shown that Majorana fermions trapped in three vortices in a p-wave superfluid form a qubit in a topological quantum computing (TQC). Several similar ideas have already been proposed: Ivanov [Phys. Rev. Lett. {\bf 86}, 268 (2001)] and…

Quantum Physics · Physics 2015-05-13 Tetsuo Ohmi , Mikio Nakahara

We propose a scheme for realizing the scalable quantum computation based on nonidentical quantum dots trapped in a single-mode waveguide. In this system, the quantum dots simultaneously interact with a large detuned waveguide and classical…

Quantum Physics · Physics 2015-03-17 Jian-Qi Zhang , Ya-Fei Yu , Xun-Li Feng , Zhi-Ming Zhang

The discovery of topological phases in condensed matter systems has changed the modern conception of phases of matter. The global nature of topological ordering makes these phases robust and hence promising for applications. However, the…

Majorana bound states have been a focus of condensed matter research for their potential applications in topological quantum computation. Here we utilize two charge-qubit arrays to explicitly simulate a DIII class one-dimensional…

Quantum Physics · Physics 2015-03-16 Ting Mao , Z. D. Wang

In a topological quantum computer, universal quantum computation is performed by dragging quasiparticle excitations of certain two dimensional systems around each other to form braids of their world lines in 2+1 dimensional space-time. In…

Quantum Physics · Physics 2009-11-11 S. H. Simon , N. E. Bonesteel , M. H. Freedman , N. Petrovic , L. Hormozi

Topological states of matter are promising resources for composing fault-tolerant quantum computers, advancing beyond the limitations of current noisy intermediate-scale quantum devices. To enable this progress, a deep understanding of…

Quantum Physics · Physics 2024-11-25 Takanori Sugimoto

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…

Given a quantum algorithm, it is highly nontrivial to devise an efficient sequence of physical gates implementing the algorithm on real hardware and incorporating topological quantum error correction. In this paper, we present a first step…

Quantum Physics · Physics 2016-08-10 Alexandru Paler , Simon J. Devitt , Austin G. Fowler

Quantum computation is a promising emerging technology which, compared to conventional computation, allows for substantial speed-ups e.g. for integer factorization or database search. However, since physical realizations of quantum…

Quantum Physics · Physics 2018-06-07 Alwin Zulehner , Robert Wille

Quantum computers are expected to offer substantial speedups over their classical counterparts and to solve problems that are intractable for classical computers. Beyond such practical significance, the concept of quantum computation opens…

Quantum Physics · Physics 2014-11-13 Stefanie Barz , Joseph F. Fitzsimons , Elham Kashefi , Philip Walther

Designing quantum processors is a complex task that demands advanced verification methods to ensure their correct functionality. However, traditional methods of comprehensively verifying quantum devices, such as quantum process tomography,…

Quantum Physics · Physics 2025-08-04 Keren Li , Peng Yan , Hanru Jiang , Nengkun Yu

The superpositional wave function oscillations for finite-time implementation of quantum algorithms modifies the desired interference required for quantum computing. We propose a scheme with trapped ultracold ion-pairs being qubits to…

Quantum Physics · Physics 2007-05-23 Feng Mang , Zhu Xiwen , Gao Kelin , Shi Lei