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I show how to protect adiabatic quantum computation (AQC) against decoherence and certain control errors, using a hybrid methodology involving dynamical decoupling, subsystem and stabilizer codes, and energy gaps. Corresponding error bounds…

量子物理 · 物理学 2008-05-02 Daniel A. Lidar

We show how dynamical decoupling (DD) and quantum error correction (QEC) can be optimally combined in the setting of fault tolerant quantum computing. To this end we identify the optimal generator set of DD sequences designed to protect…

量子物理 · 物理学 2014-02-25 G. A. Paz-Silva , D. A. Lidar

We calculate the fidelity with which an arbitrary state can be encoded into a [7,1,3] CSS quantum error correction code in a non-equiprobable Pauli operator error environment with the goal of determining whether this encoding can be used…

量子物理 · 物理学 2013-03-19 Sidney D. Buchbinder , Channing L. Huang , Yaakov S. Weinstein

We present a scheme to implement a universal set of quantum gates based on achievable interactions, and the gates can be protected against decoherences through dynamical-decoupling approach without encoding. By properly designing system…

量子物理 · 物理学 2022-09-08 Chunfeng Wu , Chunfang Sun , Jing-Ling Chen , X. X. Yi

In this work we propose a novel strategy using techniques from systems theory to completely eliminate decoherence and also provide conditions under which it can be done so. A novel construction employing an auxiliary system, the bait, which…

量子物理 · 物理学 2015-06-26 Narayan Ganesan , Tzyh Jong Tarn

Nonadiabatic geometric quantum computation in decoherence-free subspaces has received increasing attention due to the merits of its high-speed implementation and robustness against both control errors and decoherence. However, all the…

量子物理 · 物理学 2017-01-04 P. Z. Zhao , G. F. Xu , D. M. Tong

The main obstacles to the realization of high-fidelity quantum gates are the control errors arising from inaccurate manipulation of a quantum system and the decoherence caused by the interaction between the quantum system and its…

量子物理 · 物理学 2021-01-15 P. Z. Zhao , X. Wu , D. M. Tong

This letter presents a two-dimensional nuclear magnetic resonance(NMR) approach for constructing a two-logical-qubit decoherence-free subspace (DFS) based on the fact that the three protons in a CH3 spin system can not be resolved in…

量子物理 · 物理学 2009-11-10 Daxiu Wei , Jun Luo , Xianping Sun , Xizhi Zeng , Mingsheng Zhan , Maili Liu

Dynamical decoupling is a long-established and effective way to suppress unwanted interactions in qubit systems, enabling advances in fields ranging from quantum metrology to quantum computing. For general qudit systems, however, comparable…

量子物理 · 物理学 2026-04-20 Colin Read , Eduardo Serrano-Ensástiga , John Martin

Quantum error correction is necessary to perform large-scale quantum computations in the presence of noise and decoherence. As a result, several aspects of quantum error correction have already been explored. These have been primarily…

量子物理 · 物理学 2021-08-05 Ariel Shlosberg , Anthony M. Polloreno , Graeme Smith

There is a natural orthogonal basis of the 6-qubit decoherence-free (DF) space robust against collective noise. Interestingly, most of the basis states can be obtained from one another just permuting qubits. This property: (a) is useful for…

量子物理 · 物理学 2009-07-28 Adan Cabello

Decoherence is the fundamental obstacle limiting the performance of quantum information processing devices. The problem of transmitting a quantum state (known or unknown) from one place to another is of great interest in this context. In…

量子物理 · 物理学 2023-01-12 Maxim A. Gavreev , Evgeniy O. Kiktenko , Alena S. Mastiukova , Aleksey K. Fedorov

We introduce protocols for designing and manipulating qubits with ultracold alkali atoms in 3D optical lattices. These qubits are formed from two-atom spin superposition states that create a decoherence-free subspace immune to stray…

量子物理 · 物理学 2023-05-23 Mikhail Mamaev , Joseph H. Thywissen , Ana Maria Rey

The schmeme of nonadiabatic holonomic quantum computation (NHQC) offers an error-resistant method for implementing quantum gates, capable of mitigating certain errors. However, the conventional NHQC schemes often entail longer operations…

量子物理 · 物理学 2024-10-11 Yuan-Sheng Wang , Zhaofeng Su , Xiaosong Chen , Man-Hong Yung

With gate error rates in multiple technologies now below the threshold required for fault-tolerant quantum computation, the major remaining obstacle to useful quantum computation is scaling, a challenge greatly amplified by the huge…

量子物理 · 物理学 2021-12-09 Kianna Wan , Soonwon Choi , Isaac H. Kim , Noah Shutty , Patrick Hayden

A formulation for performing quantum computing in a projected subspace is presented, based on the subdynamical kinetic equation (SKE) for an open quantum system. The eigenvectors of the kinetic equation are shown to remain invariant before…

量子物理 · 物理学 2009-11-07 Bi Qiao , H. E. Ruda , M. S. Zhan

Quantum error-correcting codes are constructed that embed a finite-dimensional code space in the infinite-dimensional Hilbert space of a system described by continuous quantum variables. These codes exploit the noncommutative geometry of…

量子物理 · 物理学 2008-12-18 Daniel Gottesman , Alexei Kitaev , John Preskill

By using quantum mechanical effects, quantum computers promise significant speedups in solving problems intractable for conventional computers. However, despite recent progress they remain limited in scaling and availability-making quantum…

量子物理 · 物理学 2020-12-11 Thomas Grurl , Jürgen Fuß , Robert Wille

In order to use quantum error-correcting codes to actually improve the performance of a quantum computer, it is necessary to be able to perform operations fault-tolerantly on encoded states. I present a general theory of fault-tolerant…

量子物理 · 物理学 2011-07-19 Daniel Gottesman

A long-standing open question about Gaussian continuous-variable cluster states is whether they enable fault-tolerant measurement-based quantum computation. The answer is yes. Initial squeezing in the cluster above a threshold value of 20.5…

量子物理 · 物理学 2014-04-04 Nicolas C. Menicucci