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A two-dimensional quantum system with anyonic excitations can be considered as a quantum computer. Unitary transformations can be performed by moving the excitations around each other. Measurements can be performed by joining excitations in…

量子物理 · 物理学 2009-10-30 A. Yu. Kitaev

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…

量子物理 · 物理学 2017-05-16 Eesa Nikahd , Morteza Saheb Zamani , Mehdi Sedighi

We describe a protocol for continuously protecting unknown quantum states from decoherence that incorporates design principles from both quantum error correction and quantum feedback control. Our protocol uses continuous measurements and…

量子物理 · 物理学 2009-11-07 Charlene Ahn , Andrew C. Doherty , Andrew J. Landahl

We propose a scalable way to construct a 3D cluster state for fault-tolerant topological one-way computation (TOWC) even if the entangling two-qubit gates succeed with a small probability. It is shown that fault-tolerant TOWC can be…

量子物理 · 物理学 2010-12-23 Keisuke Fujii , Yuuki Tokunaga

The hopes for scalable quantum computing rely on the "threshold theorem": once the error per qubit per gate is below a certain value, the methods of quantum error correction allow indefinitely long quantum computations. The proof is based…

量子物理 · 物理学 2014-01-17 M. I. Dyakonov

We report on the fault-tolerant operation of logical qubits on a neutral atom quantum computer, with logical performance surpassing physical performance for multiple circuits including Bell states (12x error reduction), random circuits…

Quantum error correcting codes typically do not account for quantum state transitions - leakage - out of the computational subspace. Since these errors can last for multiple detection rounds they can significantly contribute to logical…

量子物理 · 物理学 2025-05-26 Jeffrey Marshall , Dvir Kafri

Pre-fault tolerant quantum computers have already demonstrated the ability to estimate observable values accurately, at a scale beyond brute-force classical computation. This has been enabled by error mitigation techniques that often rely…

By introducing an operator sum representation for arbitrary linear maps, we develop a generalized theory of quantum error correction (QEC) that applies to any linear map, in particular maps that are not completely positive (CP). This theory…

量子物理 · 物理学 2009-10-21 A. Shabani , D. A. Lidar

Gate fidelity -- an average fidelity over all possible input states -- is the workhorse metric for benchmarking quantum gates or circuits, yet fault-tolerant quantum computing ultimately depends on the worst-case behavior, typically…

量子物理 · 物理学 2026-03-10 Kyoungho Cho , Ilkwon Sohn , Yongsoo Hwang , Jeongho Bang

We formulate a scheme for fault-tolerant quantum computation that works effectively against highly biased noise, where dephasing is far stronger than all other types of noise. In our scheme, the fundamental operations performed by the…

量子物理 · 物理学 2008-11-21 Panos Aliferis , John Preskill

We propose a fault-tolerant quantum error correction architecture consisting of a linear array of emitters and delay lines. In our scheme, a resource state for fault-tolerant quantum computation is generated by letting the emitters interact…

量子物理 · 物理学 2025-04-02 Jintae Kim , Jung Hoon Han , Isaac H. Kim

A major challenge in practical quantum computation is the ineludible errors caused by the interaction of quantum systems with their environment. Fault-tolerant schemes, in which logical qubits are encoded by several physical qubits, enable…

量子物理 · 物理学 2020-12-17 Kai Sun , Jin-Shi Xu , Xiao-Ye Xu , Yong-Jian Han , Chuan-Feng Li , Guang-Can Guo

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…

量子物理 · 物理学 2010-08-11 G. A. Paz-Silva , G. K. Brennen , J. Twamley

The constituent parts of a quantum computer are inherently vulnerable to errors. To this end we have developed quantum error-correcting codes to protect quantum information from noise. However, discovering codes that are capable of a…

量子物理 · 物理学 2016-08-24 Benjamin J. Brown , Naomi H. Nickerson , Dan E. Browne

One-way quantum computation is a promising approach to achieving universal, scalable, and fault-tolerant quantum computation. However, a main challenge lies in the creation of universal, scalable three-dimensional cluster states. Here, an…

量子物理 · 物理学 2025-03-19 Peilin Du , Jing Zhang , Rongguo Yang

We investigate the performance of continuous variable quantum key distribution scheme in a practical setting. More specifically, we take non-ideal error reconciliation procedure into account. The quantum channel connecting the two honest…

量子物理 · 物理学 2009-11-11 Matthias Heid , Norbert Lütkenhaus

Many proposals for quantum information processing are subject to detectable loss errors. In this paper, we show that topological error correcting codes, which protect against computational errors, are also extremely robust against losses.…

量子物理 · 物理学 2015-05-13 Thomas M. Stace , Sean D. Barrett , Andrew C. Doherty

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…

量子物理 · 物理学 2015-05-13 H. Bombin , M. A. Martin-Delgado

We analyse a generalised quantum error correction code against photon loss where a logical qubit is encoded into a subspace of a single oscillator mode that is spanned by distinct multi-component cat states (coherent-state superpositions).…

量子物理 · 物理学 2016-10-26 Marcel Bergmann , Peter van Loock