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Executing quantum algorithms using Majorana zero modes - a major milestone for the field of topological quantum computing - requires a platform that can be scaled to large quantum registers, can be controlled in real time and space, and a…

Mesoscale and Nanoscale Physics · Physics 2025-03-17 Jasmin Bedow , Dirk K. Morr

We present a fault-tolerant semi-global control strategy for universal quantum computers. We show that N-dimensional array of qubits where only (N-1)-dimensional addressing resolution is available is compatible with fault-tolerant universal…

Quantum Physics · Physics 2010-08-11 G. A. Paz-Silva , G. K. Brennen , J. Twamley

Fusion-based quantum computing is an attractive model for fault-tolerant computation based on photonics requiring only finite-sized entangled resource states followed by linear-optics operations and photon measurements. Large-scale…

As there is no quantum error correction code with universal set of transversal gates, several approaches have been proposed which, in combination of transversal gates, make universal fault-tolerant quantum computation possible. Magic state…

Quantum Physics · Physics 2021-09-07 Eesa Nikahd , Morteza Saheb Zamani , Mehdi Sedighi

Fault-tolerant modular quantum computing requires stabilizer measurements across the modules in a quantum network. For this, entangled states of high quality and rate must be distributed. Currently, two main types of entanglement…

A quantum simulator is a device engineered to reproduce the properties of an ideal quantum model. It allows the study of quantum systems that cannot be efficiently simulated on classical computers. While a universal quantum computer is also…

Quantum Physics · Physics 2011-12-16 J. Casanova , C. Sabin , J. Leon , I. L. Egusquiza , R. Gerritsma , C. F. Roos , J. J. Garcia-Ripoll , E. Solano

Quantum computation can be performed by encoding logical qubits into the states of two or more physical qubits, and controlling a single effective exchange interaction and possibly a global magnetic field. This "encoded universality"…

Quantum Physics · Physics 2007-05-23 M. Mohseni , D. A. Lidar

Topological quantum computation by way of braiding of Majorana fermions is not universal quantum computation. There are several attempts to make universal quantum computation by introducing some additional quantum gates or quantum states.…

Quantum Physics · Physics 2024-07-12 Motohiko Ezawa

Quantum computing experiments are transitioning from running on physical qubits to using encoded, logical qubits. Fault-tolerant computation can identify and correct errors, and has the potential to enable the dramatically reduced logical…

We investigate how to concatenate different decoherence-free subspaces (DFSs) to realize scalable universal fault-tolerant quantum computation. Based on tunable $XXZ$ interactions, we present an architecture for scalable quantum computers…

Quantum Physics · Physics 2009-11-10 Zheng-Wei Zhou , Bo Yu , Xingxiang Zhou , Marc J. Feldman , Guang-Can Guo

Photonic quantum metrology harnesses quantum states of light, such as NOON or Twin-Fock states, to measure unknown parameters beyond classical precision limits. Current protocols suffer from two severe limitations that preclude their…

We introduce a general scheme for sequential one-way quantum computation where static systems with long-living quantum coherence (memories) interact with moving systems that may possess very short coherence times. Both the generation of the…

Quantum Physics · Physics 2015-05-27 Augusto J. Roncaglia , Leandro Aolita , Alessandro Ferraro , Antonio Acin

Continuous-Variable (CV) devices are a promising platform for demonstrating large-scale quantum information protocols. In this framework, we define a general quantum computational model based on a CV hardware. It consists of vacuum input…

Quantum Physics · Physics 2019-02-06 Tom Douce , Damian Markham , Elham Kashefi , Peter van Loock , Giulia Ferrini

Color-code quantum computation seamlessly combines Majorana-based hardware with topological error correction. Specifically, as Clifford gates are transversal in two-dimensional color codes, they enable the use of the Majoranas' nonabelian…

Mesoscale and Nanoscale Physics · Physics 2017-11-09 Daniel Litinski , Felix von Oppen

This paper provides necessary and sufficient conditions for constructing a universal quantum computer over continuous variables. As an example, it is shown how a universal quantum computer for the amplitudes of the electromagnetic field…

Quantum Physics · Physics 2009-10-31 Seth Lloyd , Samuel L. Braunstein

The usual scenario in fault tolerant quantum computation involves certain amount of qubits encoded in each code block, transversal operations between them and destructive measurements of ancillary code blocks. We introduce a new approach in…

Quantum Physics · Physics 2015-05-13 H. Bombin , M. A. Martin-Delgado

Universal fault-tolerant quantum computation will require real-time decoding algorithms capable of quickly extracting logical outcomes from the stream of data generated by noisy quantum hardware. We propose modular decoding, an approach…

Quantum Physics · Physics 2023-03-10 Héctor Bombín , Chris Dawson , Ye-Hua Liu , Naomi Nickerson , Fernando Pastawski , Sam Roberts

Recently, Lloyd and Montangero have made a brief research proposal on universal quantum computation in integrable systems. The main idea is to encode qubits into quantum action variables and build up quantum gates by the method of resonant…

Quantum Physics · Physics 2022-12-19 Yong Zhang , Konglong Wu

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

Because Majorana zero modes store quantum information non-locally, they are protected from noise, and have been proposed as a building block for a quantum computer. We show how to use the same protection from noise to implement universal…

Quantum Physics · Physics 2018-06-05 T. E. O'Brien , P. Rożek , A. R. Akhmerov