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Uniformly controlled one-qubit gates are quantum gates which can be represented as direct sums of two-dimensional unitary operators acting on a single qubit. We present a quantum gate array which implements any n-qubit gate of this type…

量子物理 · 物理学 2009-11-10 Ville Bergholm , Juha J. Vartiainen , Mikko Mottonen , Martti M. Salomaa

We propose a platform for universal quantum computation that uses conventional $s$-wave superconducting leads to address a topological qubit stored in spatially separated Majorana bound states in a multi-terminal topological superconductor…

介观与纳米尺度物理 · 物理学 2019-01-02 Constantin Schrade , Liang Fu

Clifford gates and transformations, which map products of elementary Pauli or Majorana operators to other such products, are foundational in quantum computing, underpinning the stabilizer formalism, error-correcting codes, magic state…

量子物理 · 物理学 2025-10-29 Ilias Magoulas , Francesco A. Evangelista

As the size and complexity of a quantum computer increases, quantum bit (qubit) characterization and gate optimization become complex and time-consuming tasks. Current calibration techniques require complicated and verbose measurements to…

We study the implementation of quantum channels with quantum computers while minimizing the experimental cost, measured in terms of the number of Controlled-NOT (C-NOT) gates required (single-qubit gates are free). We consider three…

量子物理 · 物理学 2017-05-17 Raban Iten , Roger Colbeck , Matthias Christandl

Majorana zero modes in superconductor-nanowire hybrid structures are a promising candidate for topologically protected qubits with the potential to be used in scalable structures. Currently, disorder in such Majorana wires is a major…

介观与纳米尺度物理 · 物理学 2024-01-22 Matthias Thamm , Bernd Rosenow

We present a universal quantum computing architecture which combines the measurement-driven aspect of MBQC with the circuit model's algorithm dependent generation of qubit entanglement. Our architecture, which we call QGATE, is tailored for…

量子物理 · 物理学 2026-03-20 Samuel J. Sheldon , Pieter Kok , Callum W. Duncan

We present an idealized model involving interacting quantum dots that can support both the dynamical and geometrical forms of quantum computation. We show that by employing a structure similar to the one used in the Aharonov-Bohm effect we…

量子物理 · 物理学 2009-11-10 Jiannis K. Pachos , Vlatko Vedral

We introduce an exactly solvable model of interacting Majorana fermions realizing $Z_{2}$ topological order with a $Z_{2}$ fermion parity grading and lattice symmetries permuting the three fundamental anyon types. We propose a concrete…

介观与纳米尺度物理 · 物理学 2015-12-16 Sagar Vijay , Timothy H. Hsieh , Liang Fu

Transversal gates are the simplest form of fault-tolerant gates and are relatively easy to implement in practice. Yet designing codes that support useful transversal operations -- especially non-Clifford or addressable gates -- remains…

量子物理 · 物理学 2026-03-05 ChunJun Cao , Brad Lackey

The quantum spin Hall edge is predicted to reliably produce Majorana zero modes on the border between magnetic insulator- and superconductor-proximitized regions of the edge. The direction of magnetization determines the size of the induced…

介观与纳米尺度物理 · 物理学 2020-11-11 Dmitry I. Pikulin

We use quantum process tomography to characterize a full universal set of all-microwave gates on two superconducting single-frequency single-junction transmon qubits. All extracted gate fidelities, including those for Clifford group…

We present a new type of a quantum error correction code, termed Majorana-XYZ code, where the logical quantum information scales macroscopically yet is protected by topologically non-trivial degrees of freedom. It is a $[n,k,g,d]$ subsystem…

量子物理 · 物理学 2026-03-30 Tobias Busse , Lauri Toikka

Quantum computing relies on quantum error correction for high-fidelity logical operations, but scaling to achieve near-term quantum utility is highly resource-intensive. High-rate quantum LDPC codes can reduce error correction overhead, yet…

量子物理 · 物理学 2025-11-11 Laura Pecorari , Francesco Paolo Guerci , Hugo Perrin , Guido Pupillo

A hallmark of topological superconductivity is the non-Abelian statistics of Majorana bound states (MBS), its chargeless zero-energy emergent quasiparticles. The resulting fractionalization of a single electron, stored nonlocally as a two…

介观与纳米尺度物理 · 物理学 2022-04-26 Tong Zhou , Matthieu C. Dartiailh , Kasra Sardashti , Jong E. Han , Alex Matos-Abiague , Javad Shabani , Igor Zutic

We describe a method to use measurements and correction operations in order to implement the Clifford group in a stabilizer code, generalising a result from [Bombin,2011] for topological subsystem colour codes. In subsystem stabilizer codes…

量子物理 · 物理学 2025-02-10 Darren Banfield , Heather Leitch , Alastair Kay

We extend the topological quantum computation scheme using the Pfaffian quantum Hall state, which has been recently proposed by Das Sarma et al., in a way that might potentially allow for the topologically protected construction of a…

介观与纳米尺度物理 · 物理学 2007-05-23 Lachezar S. Georgiev

To confirm the Majorana signatures, significant effort has been devoted to distinguishing between Majorana zero modes (MZMs) and spatially separated quasi-Majorana modes (QMMs). Because both MZMs and QMMs cause a quantized zero-bias peak in…

介观与纳米尺度物理 · 物理学 2021-12-22 Donghao Liu , Zhan Cao , Xin Liu , Hao Zhang , Dong E. Liu

Topological quantum computing is based on the notion of braiding non-Abelian anyons, such as Majorana zero modes (MZMs), to perform gate operations. A crucial building block of these protocols is the adiabatic shuttling of MZMs through…

介观与纳米尺度物理 · 物理学 2023-03-28 Bill P. Truong , Kartiek Agarwal , T. Pereg-Barnea

We investigate quantum circuits built from arbitrary single-qubit operations combined with programmable all-to-all multiqubit entangling gates that are native to, among other systems, trapped-ion quantum computing platforms. We report a…

量子物理 · 物理学 2025-10-24 Jonathan Nemirovsky , Lee Peleg , Amit Ben Kish , Yotam Shapira