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Implementing a qubit quantum computer in continuous-variable systems conventionally requires the engineering of specific interactions according to the encoding basis states. In this work, we present a unified formalism to conduct universal…

量子物理 · 物理学 2016-09-06 Hoi-Kwan Lau , Martin B. Plenio

A decoherence-free subspace (DFS) isolates quantum information from deleterious environmental interactions. We give explicit sequences of strong and fast (``bang-bang'', BB) pulses that create the conditions allowing for the existence of…

量子物理 · 物理学 2016-09-08 L. -A. Wu , D. A. Lidar

A fundamental requirement of quantum information processing is the protection from the adverse effects of decoherence and noise. Decoherence-free subspaces and geometric processing are important steps of quantum information protection.…

量子物理 · 物理学 2018-04-18 Vahid Azimi Mousolou

The notion of symmetry is shown to be at the heart of all error correction/avoidance strategies for preserving quantum coherence of an open quantum system S e.g., a quantum computer. The existence of a non-trivial group of symmetries of the…

量子物理 · 物理学 2007-05-23 P. Zanardi

We propose an effective set of elementary quantum gates which provide an encoded universality and demonstrate the physical feasibility of these gates for the solid-state quantum computer based on the multi-atomic systems in the QED cavity.…

量子物理 · 物理学 2011-09-05 Farid Ablayev , Sergey Andrianov , Sergey Moiseev , Alexander Vasiliev

Quantum error-correcting codes (QECCs) and decoherence-free subspace (DFS) codes provide active and passive means, respectively, to address certain types of errors that arise during quantum computation. The latter technique is suitable to…

量子物理 · 物理学 2024-07-02 Nihar Ranjan Dash , Sanjoy Dutta , R. Srikanth , Subhashish Banerjee

We introduce a generalized theory of decoherence-free subspaces and subsystems (DFSs), which do not require accurate initialization. We derive a new set of conditions for the existence of DFSs within this generalized framework. By relaxing…

量子物理 · 物理学 2007-05-23 A. Shabani , D. A. Lidar

We propose a universal gate set for quantum computing that operates in the presence of decoherence without the overhead of active error correction. We show that a broad class of anisotropic system--bath couplings can be effectively…

量子物理 · 物理学 2026-03-27 Yang-Yang Xie , Zhao-Ming Wang , Lian-Ao Wu

In this work, inspired by the study of semidefinite programming for block-diagonalizing matrix *-algebras, we propose an algorithm that can find the algebraic structure of decoherence-free subspaces (DFS's) for a given noisy quantum…

量子物理 · 物理学 2013-02-19 Xiaoting Wang , Mark Byrd , Kurt Jacobs

Proposals for quantum computing devices are many and varied. They each have unique noise processes that make none of them fully reliable at this time. There are several error correction/avoidance techniques which are valuable for reducing…

量子物理 · 物理学 2015-06-26 Mark S. Byrd , Daniel A. Lidar

Quantum coherence of open quantum systems is usually compromised because of the interaction with the ambient environment. A "decoherence-free subspace" (DFS) of the system Hilbert space is defined where the evolution remains unitary. In the…

量子物理 · 物理学 2010-02-12 E. Jonckheere , A. Shabani , A. T. Rezakhani

We introduce a novel scheme for one-way quantum computing (QC) based on the use of information encoded qubits in an effective cluster state resource. With the correct encoding structure, we show that it is possible to protect the entangled…

量子物理 · 物理学 2009-11-13 M. S. Tame , M. Paternostro , M. S. Kim

Dynamical decoupling can enforce a symmetry on the dynamics of an open quantum system. Here we develop an efficient dynamical-decoupling-based strategy to create the decoherence-free subspaces (DFSs) for a set of qubits by optimally…

量子物理 · 物理学 2019-04-17 Jiang Zhang , Zheng-Yang Zhou , Lian-Ao Wu , J. Q. You

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

To implement a set of universal quantum logic gates based on non-Abelian geometric phases, it is a conventional wisdom that quantum systems beyond two levels are required, which is extremely difficult to fulfil for superconducting qubits,…

量子物理 · 物理学 2015-08-12 Zheng-Yuan Xue , Jian Zhou , Z. D. Wang

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"…

量子物理 · 物理学 2007-05-23 M. Mohseni , D. A. Lidar

Quantum information processing requires a high degree of isolation from the detrimental effects of the environment as well as an extremely precise level of control on the way quantum dynamics unfolds in the information-processing system. In…

量子物理 · 物理学 2014-04-07 J. Zhang , L. -C. Kwek , Erik Sjöqvist , D. M. Tong , P. Zanardi

The key for realizing fault-tolerant quantum computation lies in maintaining the coherence of all qubits so that high-fidelity and robust quantum manipulations on them can be achieved. One of the promising approaches is to use geometric…

量子物理 · 物理学 2021-10-13 Sai Li , Zheng-Yuan Xue

The ability to perform computations on encrypted data is a powerful tool for protecting privacy. Recently, protocols to achieve this on classical computing systems have been found. Here we present an efficient solution to the quantum…

量子物理 · 物理学 2014-03-05 K. Fisher , A. Broadbent , L. K. Shalm , Z. Yan , J. Lavoie , R. Prevedel , T. Jennewein , K. J. Resch

We propose schemes to design and control a time-dependent decoherence-free subspace (DFS) in a dissipative atom-cavity system. These schemes use atoms with three internal energy levels, which allows for the DFS to be multi-dimensional--a…