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We investigate the quantum electrodynamics of a device based on a topological superconducting circuit embedded in a microwave resonator. The device stores its quantum information in coherent superpositions of fermion parity states…

Mesoscale and Nanoscale Physics · Physics 2015-09-18 Konstantin Yavilberg , Eran Ginossar , Eytan Grosfeld

We construct a minimal circuit, based on the top-transmon design, to rotate a qubit formed out of four Majorana zero-modes at the edge of a two-dimensional topological insulator. Unlike braiding operations, generic rotations have no…

Mesoscale and Nanoscale Physics · Physics 2015-09-04 B. van Heck , T. Hyart , C. W. J. Beenakker

We propose a new design for a quantum bit with four superconducting islands in the topology of a symmetric tetrahedron, uniformly frustrated with one-half flux-quantum per loop and one-half Cooper-pair per island. This structure emulates a…

Superconductivity · Physics 2009-11-10 M. V. Feigel'man , L. B. Ioffe , V. B. Geshkenbein , P. Dayal , G. Blatter

The creation of topological quantum gates using Majorana zero modes -- an outstanding problem in the field of topological quantum computing -- relies on our ability to control the braiding process of these particles in time and space. Here,…

Mesoscale and Nanoscale Physics · Physics 2023-02-13 Jasmin Bedow , Eric Mascot , Themba Hodge , Stephan Rachel , Dirk K. Morr

Majorana fermions have recently garnered a great attention outside the field of particle physics, in condensed matter physics. In contrast to their particle physics counterparts, Majorana fermions are zero energy, chargeless, spinless,…

Superconductivity · Physics 2019-09-25 Rémy Pawlak , Silas Hoffman , Jelena Klinovaja , Daniel Loss , Ernst Meyer

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

Since the first demonstration of coherent control of a quantum state of a superconducting charge qubit a variety of Josephson-junction-based qubits have been implemented with remarkable progress in coherence time and read-out schemes.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 T. Yamamoto , Yu. A. Pashkin , O. Astafiev , Y. Nakamura , J. S. Tsai

To control and measure the state of a quantum system it must necessarily be coupled to external degrees of freedom. This inevitably leads to spontaneous emission via the Purcell effect, photon-induced dephasing from measurement back-action,…

We present a scalable architecture for fault-tolerant topological quantum computation using networks of voltage-controlled Majorana Cooper pair boxes, and topological color codes for error correction. Color codes have a set of transversal…

Mesoscale and Nanoscale Physics · Physics 2017-09-25 Daniel Litinski , Markus S. Kesselring , Jens Eisert , Felix von Oppen

We have detected coherent quantum oscillations between Josephson phase qubits and microscopic critical-current fluctuators by implementing a new state readout technique that is an order of magnitude faster than previous methods. The period…

We present a quantum computing scheme with atomic Josephson junction arrays. The system consists of a small number of atoms with three internal states and trapped in a far-off resonant optical lattice. Raman lasers provide the "Josephson"…

Quantum Physics · Physics 2011-07-26 Lin Tian , P. Zoller

We study a series of dynamical protocols which involve periodically driving a quantum dot coupled to a putative nanowire hosting Majorana zero modes (MZMs) to i) reduce the hybridization between MZMs, ii) improve the coherence of the…

Mesoscale and Nanoscale Physics · Physics 2022-04-18 Brett Min , Bastien Fajardo , T. Pereg-Barnea , Kartiek Agarwal

Hybrid semiconductor-superconductor devices hold great promise for realizing topological quantum computing with Majorana zero modes (MZMs). However, multiple claims of Majorana detection, based on either tunneling or Coulomb blockade (CB)…

Recent experiments have demonstrated superconducting transmon qubits with semiconductor nanowire Josephson junctions. These hybrid gatemon qubits utilize field effect tunability characteristic for semiconductors to allow complete qubit…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 L. Casparis , T. W. Larsen , M. S. Olsen , F. Kuemmeth , P. Krogstrup , J. Nygård , K. D. Petersson , C. M. Marcus

We theoretically study the transport signatures of unpaired Floquet Majorana bound states in the Josephson current of weakly linked, periodically driven topological superconductors. We obtain the occupation of the Floquet Majorana modes in…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Rekha Kumari , Babak Seradjeh , Arijit Kundu

We study dynamics of a single qubit encoded in two pairs of Majorana modes, whereby each pair is hosted on a trijunction described by the Kitaev model extended by many-body interactions. We demonstrated that the challenging phase-gate may…

Superconductivity · Physics 2020-01-09 Andrzej Więckowski , Marcin Mierzejewski , Michał Kupczyński

Reading out Majorana bound states (MBSs) is essential both to verify their non-Abelian property and to realize topological quantum computation. Here, we construct a protocol to measure the parity of two MBSs in a Majorana island coupled to…

Mesoscale and Nanoscale Physics · Physics 2021-09-14 Zhen-Tao Zhang , Dong E. Liu

We propose and analyze theoretically an experimental setup for detecting the elusive Majorana particle in semiconductor-superconductor heterostructures. The experimental system consists of one-dimensional semiconductor wire with strong…

Superconductivity · Physics 2010-08-16 Roman M. Lutchyn , Jay D. Sau , S. Das Sarma

If a quantum dot is coupled to a topological superconductor via tunneling contacts, each contact hosts a Majorana zero mode in the limit of zero transmission. Close to a resonance and at a finite contact transparency, the resonant level in…

Mesoscale and Nanoscale Physics · Physics 2024-06-11 Max Geier , Svend Krøjer , Felix von Oppen , Charles M. Marcus , Karsten Flensberg , Piet W. Brouwer

We theoretically propose a set of universal quantum gates acting on a hybrid qubit formed by coupling a quantum dot spin qubit and Majorana fermion qubit. First, we consider a quantum dot tunnel-coupled to two topological superconductors.…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Silas Hoffman , Constantin Schrade , Jelena Klinovaja , Daniel Loss