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We propose to use the recently predicted two-dimensional `weak-pairing' $p_x + ip_y$ superfluid state of fermionic cold atoms as a platform for topological quantum computation. In the core of a vortex, this state supports a zero-energy…

Quantum Physics · Physics 2007-05-23 Sumanta Tewari , S. Das Sarma , Chetan Nayak , Chuanwei Zhang , P. Zoller

Topological quantum computation based on Majorana objects is subject to a significant challenge because at least some of the two-qubit quantum gates rely on the fermion (either charge or spin) parity of the qubits. This dependency renders…

Quantum Physics · Physics 2024-08-14 Ye-Min Zhan , Guan-Dong Mao , Yu-Ge Chen , Yue Yu , Xi Luo

Majorana zero modes are expected to arise in semiconductor-superconductor hybrid systems, with potential topological quantum computing applications. One limitation of this approach is the need for a relatively high external magnetic field…

Bound states in quantum dots coupled to superconductors can be in a coherent superposition of states with different electron number but with the same fermion parity. Electrostatic gating can tune this superposition to a sweet spot, where…

Mesoscale and Nanoscale Physics · Physics 2024-06-18 Max Geier , Rubén Seoane Souto , Jens Schulenborg , Serwan Asaad , Martin Leijnse , Karsten Flensberg

We propose a system of coupled quantum dots in proximity to a superconductor and driven by separate ac potentials to realize and detect Floquet Majorana fermions. We show that the appearance of Floquet Majorana fermions can be finely…

Mesoscale and Nanoscale Physics · Physics 2014-09-17 Yantao Li , Arijit Kundu , Fan Zhong , Babak Seradjeh

The successful test of non-Abelian statistics not only serves as a milestone in fundamental physics but also provides a quantum gate operation in topological quantum computation. An accurate and efficient readout scheme of a topological…

Mesoscale and Nanoscale Physics · Physics 2019-11-26 Chun-Xiao Liu , Dong E. Liu , Fu-Chun Zhang , Ching-Kai Chiu

Surface codes offer a very promising avenue towards fault-tolerant quantum computation. We argue that two-dimensional interacting networks of Majorana bound states in topological superconductor/semiconductor heterostructures hold several…

Mesoscale and Nanoscale Physics · Physics 2016-11-30 S. Plugge , L. A. Landau , E. Sela , A. Altland , K. Flensberg , R. Egger

We study the flux-dependent quantum inductance of a one-dimensional (1D) semiconductor-superconductor (SM-SC) Majorana nanowire coupled to a quantum dot in an interferometric setup. Although quantum capacitance in this setup enables fast…

Mesoscale and Nanoscale Physics · Physics 2026-03-13 Binayyak B. Roy , Jay D. Sau , Sumanta Tewari

We propose a topological qubit in which braiding and readout are mediated by the $4\pi$ Majorana-Josephson effect. The braidonium device consists of three Majorana nanowires that come together to make a tri-junction; in order to control the…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 John P. T. Stenger , Michael Hatridge , Sergey M. Frolov , David Pekker

We propose a scheme to implement Controlled Not-gate for topological qubits in a quantum-dot-Majorana-fermion hybrid system. Quantum information is encoded on pairs of Majorana fermions, which live on the the interface between topologically…

Quantum Physics · Physics 2013-05-03 Zheng-Yuan Xue

Schemes for topological quantum computation with Majorana bound states rely heavily on the ability to measure products of Majorana operators projectively. Here, we employ Markovian quantum measurement theory, including the readout device,…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Jacob F. Steiner , Felix von Oppen

We introduce and develop an approach to realizing a topological phase transition and non-Abelian statistics with dynamically induced Floquet Majorana Fermions (FMFs). When the periodic driving potential does not break fermion parity…

Mesoscale and Nanoscale Physics · Physics 2013-07-30 Dong E. Liu , Alex Levchenko , Harold U. Baranger

Among the list of major threats to quantum computation, quantum decoherence poses one of the largest because it generates losses to the environment within a computational system which cannot be recovered via error correction methods. These…

Quantum Physics · Physics 2022-01-17 Adrian Scheppe , Michael Pak

We present a pedagogical review of topological superconductivity and its consequences in spin-orbit coupled semiconductor/superconductor heterostructures. We start by reviewing the historical origins of the notions of Dirac and Majorana…

Superconductivity · Physics 2022-09-22 Jay Sau , Sumanta Tewari

We propose a scheme for extracting entangled charge qubits from quantum-dot chains that support zero-energy edge modes. The edge mode is composed of Majorana fermions localized at the ends of each chain. The qubit, logically encoded in…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Li Dai , Watson Kuo , Ming-Chiang Chung

Topological superconductors can host Majorana quasiparticles which supersede the fermion/boson dichotomy and offer a pathway to fault tolerant quantum computation. In one-dimensional systems zero-energy Majorana states are bound to the ends…

We summarize the key ingredients required for universal topological quantum computation using Majorana zero modes in networks of topological superconductor nanowires. Particular emphasis is placed on the use of both sparse and dense logical…

Quantum Physics · Physics 2026-04-07 Philipp Frey , Themba Hodge , Eric Mascot , Stephan Rachel

Ultrafast initialization enables fault-tolerant processing of quantum information while QND readout enables scalable quantum computation. By spatially assembling photon resonators and wave-guides around an n-doped nanodot and by temporally…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ren-Bao Liu , Wang Yao , L. J. Sham

We describe how microwave spectroscopy of cold fermions in quasi-1D traps can be used to detect, manipulate, and entangle exotic non-local qbits associated with "Majorana" edge modes. We present different approaches to generate the p-wave…

Quantum Physics · Physics 2013-12-23 Bhuvanesh Sundar , Erich J. Mueller

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