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Fault-tolerant quantum computing in systems composed of both Majorana fermions and topologically unprotected quantum systems, e.g. superconducting circuits or quantum dots, is studied in this paper. Errors caused by topologically…

Quantum Physics · Physics 2016-09-21 Ying Li

Universal quantum computation (UQC) using Majorana fermions on a 2D topological superconducting (TS) medium remains an outstanding open problem. This is because the quantum gate set that can be generated by braiding of the Majorana fermions…

Mesoscale and Nanoscale Physics · Physics 2010-11-25 Jay D. Sau , Sumanta Tewari , S. Das Sarma

Coherence of superconducting qubits can be improved by implementing designs that protect the parity of Cooper pairs on superconducting islands. Here, we introduce a parity-protected qubit based on voltage-controlled semiconductor nanowire…

The protection of superconducting qubits from certain noise sources often comes at the cost of increased sensitivity to other decoherence channels. Here, we explore a route to avoid this tradeoff by encoding quantum information in quantum…

A composite system of Majorana-hosted semiconductor nanowire and superconducting flux qubit is inves- tigated. It is found that the coupling between these two subsystems can be controlled electrically, supplying a convenient method to…

Quantum Physics · Physics 2015-06-12 Zhen-Tao Zhang , Yang Yu

We propose a novel architecture that utilizes two 0-$\pi$ qubits based on topological Josephson junctions to implement a parity-protected superconducting qubit. The topological Josephson junctions provides protection against fabrication…

Mesoscale and Nanoscale Physics · Physics 2026-01-06 Guo-Liang Guo , Han-Bing Leng , Xin Liu

Quantum computation is conventionally performed using quantum operations acting on two-level quantum bits, or qubits. Qubits in modern quantum computers suffer from inevitable detrimental interactions with the environment that cause errors…

Quantum Physics · Physics 2021-09-03 Alexey Galda , Michael Cubeddu , Naoki Kanazawa , Prineha Narang , Nathan Earnest-Noble

We analyze the quantum information processing capability of a superconducting transmon circuit used to mediate interactions between quantum information stored in a collection of phononic crystal cavity resonators. Having only a single…

Quantum Physics · Physics 2019-07-31 Marek Pechal , Patricio Arrangoiz-Arriola , Amir H. Safavi-Naeini

Developing a gate-tunable, scalable, and topologically-protectable supercurrent qubit and integrating it into a quantum circuit are crucial for applications in the fields of quantum information technology and topological phenomena. Here we…

Mesoscale and Nanoscale Physics · Physics 2019-05-06 Hong-Seok Kim , Yong-Joo Doh

Superconducting qubits are one of the most promising candidates to implement quantum computers. The superiority of superconducting quantum computers over any classical device in simulating random but well-determined quantum circuits has…

With the discovery of Majorana quasiparticles in semiconductor-superconductor hybrid structures, topologically protected qubits have emerged as a promising contender for quantum information processing. While the construction of a universal…

Mesoscale and Nanoscale Physics · Physics 2018-07-26 Alex Thomson , Falko Pientka

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

All physical implementations of quantum bits (qubits), carrying the information and computation in a putative quantum computer, have to meet the conflicting requirements of environmental decoupling while remaining manipulable through…

Condensed Matter · Physics 2007-05-23 L. B. Ioffe , M. V. Feigel'man , A. Ioselevich , D. Ivanov , M. Troyer , G. Blatter

Topological quantum computation relies on a protected degenerate subspace enabling complicated operations in a noise-resilient way. To this end, hybrid platforms based on non-Abelian quasiparticles such as parafermions hold great promise.…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 Alessio Calzona , Matteo Carrega , Luca Chirolli

The increasingly complex quantum electronic circuits with a number of coupled quantum degrees of freedom will become intractable to be simulated on classical computers, and requires quantum computers for an efficient simulation. In turn, it…

Superconducting qubits are among the most promising platforms for building a quantum computer. However, individual qubit coherence times are not far past the scalability threshold for quantum error correction, meaning that millions of…

Quantum Physics · Physics 2016-04-20 Eliot Kapit

Manipulation of decoupled Majorana zero modes (MZMs) could enable topologically-protected quantum computing. However, the practical realization of a large number of perfectly decoupled MZMs needed to perform nontrivial quantum computation…

Mesoscale and Nanoscale Physics · Physics 2024-02-20 D. B. Karki , K. A. Matveev , Ivar Martin

We review the main theoretical and experimental results for the transmon, a superconducting charge qubit derived from the Cooper pair box. The increased ratio of the Josephson to charging energy results in an exponential suppression of the…

Mesoscale and Nanoscale Physics · Physics 2009-08-11 A. A. Houck , Jens Koch , M. H. Devoret , S. M. Girvin , R. J. Schoelkopf

Like a quantum computer designed for a particular class of problems, a quantum simulator enables quantitative modeling of quantum systems that is computationally intractable with a classical computer. Quantum simulations of quantum…

Quantum Physics · Physics 2013-07-16 William E. Shanks , Devin L. Underwood , Andrew A. Houck

The experimental realization of Majorana fermions presents an important problem due to their non-Abelian nature and potential exploitation for topological quantum computation. Very recently Sau et al. [arXiv:0907.2239] demonstrated that a…

Strongly Correlated Electrons · Physics 2013-05-29 Jason Alicea