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A redundancy in the existing Deutsch-Jozsa quantum algorithm is removed and a refined algorithm, which reduces the size of the register and simplifies the function evaluation, is proposed. The refined version allows a simpler analysis of…

量子物理 · 物理学 2009-10-31 David Collins , K. W. Kim , W. C. Holton

Decoherence is the phenomenon of non-unitary dynamics that arises as a consequence of coupling between a system and its environment. It has important harmful implications for quantum information processing, and various solutions to the…

量子物理 · 物理学 2022-09-21 Daniel A. Lidar , K. Birgitta Whaley

We develop a structure theory for decoherence-free subspaces and noiseless subsystems that applies to arbitrary (not necessarily unital) quantum operations. The theory can be alternatively phrased in terms of the superoperator perspective,…

量子物理 · 物理学 2009-11-11 Man-Duen Choi , David W. Kribs

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 show how to efficiently exploit decoherence free subspaces (DFSs), which are immune to collective noise, for realizing quantum repeaters with long lived quantum memories. Our setup consists of an assembly of simple modules and we show…

量子物理 · 物理学 2007-05-23 Alexander Klein , Uwe Dorner , Carolina Moura Alves , Dieter Jaksch

The existence of a decoherence-free subspace/subsystem (DFS) requires that the noise possesses a symmetry. In this work we consider noise models in which perturbations break this symmetry, so that the DFS for the unperturbed model…

量子物理 · 物理学 2016-03-09 Xiaoting Wang , Mark Byrd , Kurt Jacobs

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

Efficacious quantum information processing relies on extended coherence and precise control. Investigating the limitations surrounding quantum processors is vital for their advancement. In their operation, one challenge is inadvertent wave…

量子物理 · 物理学 2024-05-14 Alfred Li , Herschel A. Rabitz , Benjamin Lienhard

The decoherence phenomenon inevitably exists in quantum computing processes. Consequently, dynamic suppression of decoherence for instance via dynamical decoupling, quantum error correction codes (QECC) etc. is crucial in accurately…

量子物理 · 物理学 2023-11-30 Lian-Ao Wu

We propose a physical scheme for implementing the Deutsch-Jozsa algorithm using atomic ensembles and optical devices. The scheme has inherent fault tolerance to the realistic noise and efficient scaling with the number of ensembles for some…

量子物理 · 物理学 2007-05-23 Ping Dong , Zheng-Yuan Xue , Ming Yang , Zhuo-Liang Cao

We present numerical simulation of a six-qubit quantum reservoir network with an output implemented on a 5-dimensional decoherence-free subspace (DFS), working as a classifier between entangled and product states of the input quantum…

量子物理 · 物理学 2026-05-28 V. V. Akshay , M. V. Altaisky , N. E. Kaputkina

Decoherence in quantum computers is formulated within the Semigroup approach. The error generators are identified with the generators of a Lie algebra. This allows for a comprehensive description which includes as a special case the…

量子物理 · 物理学 2016-09-08 D. A. Lidar , I. L. Chuang , K. B. Whaley

Quantum systems promise to revolutionize information processing science and technology [1-3]. The preservation of quantum coherence, the defining property of qubits, fundamentally constrains the performance of quantum information processing…

We show that one can implement the Deutsch-Josza algorithm, one of the first and simplest quantum algorithms, in a fault-tolerant manner using the smallest quantum error-detecting code -- the $[[4,2,2]]$ code -- without any ancillae. We…

量子物理 · 物理学 2025-09-11 Divyanshu Singh , Shiroman Prakash

Quantum superpositions can be used for parallel information processing, but only if protected against decoherence. A two-particle four-state system may have two-dimensional subspaces that are partially or completely decoherence-free, e.g.,…

量子物理 · 物理学 2007-05-23 Jeffrey Satinover

Coherence in an open quantum system is degraded through its interaction with a bath. This decoherence can be avoided by restricting the dynamics of the system to special decoherence-free subspaces. These subspaces are usually constructed…

量子物理 · 物理学 2016-09-08 Daniel A. Lidar , Dave Bacon , Julia Kempe , K. B. Whaley

The most common error models for quantum computers assume the independence of errors on different qubits. However, most noise mechanisms have some correlations in space. We show how to improve quantum information processing for few-qubit…

量子物理 · 物理学 2018-12-19 Vickram N. Premakumar , Robert Joynt

We propose a feasible scheme to achieve holonomic quantum computation in a decoherence-free subspace (DFS) with trapped ions. By the application of appropriate bichromatic laser fields on the designated ions, we are able to construct two…

量子物理 · 物理学 2009-11-13 Xin-Ding Zhang , Q. Zhang , Z. D. Wang

It has recently been shown that there are efficient algorithms for quantum computers to solve certain problems, such as prime factorization, which are intractable to date on classical computers. The chances for practical implementation,…

量子物理 · 物理学 2009-10-30 Adriano Barenco , Todd A. Brun , Ruediger Schack , Tim Spiller

We review our recent contributions to two topics that have become of interest in the field of open, dissipative quantum systems: non-Gaussian noise and decoherence in fermionic systems. Decoherence by non-Gaussian noise, i.e. by an…

介观与纳米尺度物理 · 物理学 2015-05-13 Clemens Neuenhahn , B. Kubala , B. Abel , Florian Marquardt