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Decoherence-free subspaces (DFSs) shield quantum information from errors induced by the interaction with an uncontrollable environment. Here we study a model of correlated errors forming an Abelian subgroup (stabilizer) of the Pauli group…

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

Decoherence free subspaces (DFS) is a theoretical tool towards experimental implementation of quantum information storage and processing. However, they represent an experimental challenge, since conditions for their existence are very…

量子物理 · 物理学 2007-05-23 K. M. Fonseca Romero , S. G. Mokarzel , M. O. Terra Cunha , M. C. Nemes

Universal quantum computation on decoherence-free subspaces and subsystems (DFSs) is examined with particular emphasis on using only physically relevant interactions. A necessary and sufficient condition for the existence of…

量子物理 · 物理学 2009-11-06 Julia Kempe , Dave Bacon , Daniel A. Lidar , K. Birgitta Whaley

For a practical quantum computer to operate, it will be essential to properly manage decoherence. One important technique for doing this is the use of "decoherence-free subspaces" (DFSs), which have recently been demonstrated. Here we…

量子物理 · 物理学 2009-11-07 Masoud Mohseni , Jeffrey S. Lundeen , Kevin J. Resch , Aephraim M. Steinberg

Decoherence-free subspace (DFS) provides a crucial mechanism for passive error mitigation in quantum computation by encoding information within symmetry-protected subspaces of the Hilbert space, which are immune from collective decoherence.…

量子物理 · 物理学 2025-09-16 Zi-Ming Li , Yu-xi Liu

Decoherence-Free Subsystems (DFS) are a powerful means of protecting quantum information against noise with known symmetry properties. Although Hamiltonians theoretically exist that can implement a universal set of logic gates on DFS…

量子物理 · 物理学 2007-05-23 P. Cappellaro , J. S. Hodges , T. F. Havel , D. G. Cory

The aim of this paper is to present a general algebraic formulation for the Decoherence-Free Subspaces (DFSs). For this purpose, we initially generalize some results of Pauli and Artin about semisimple algebras. Then we derive orthogonality…

数学物理 · 物理学 2015-11-16 Marco A. S. Trindade , E. Pinto , J. D. M. Vianna

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

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

A general scheme to perform universal quantum computation within decoherence-free subspaces (DFSs) of a system's Hilbert space is presented. This scheme leads to the first fault-tolerant realization of universal quantum computation on DFSs…

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

This paper provides a general theory for characterizing and constructing a decoherence-free (DF) subsystem for an infinite dimensional linear open quantum system. The main idea is that, based on the Heisenberg picture of the dynamics rather…

量子物理 · 物理学 2014-08-28 Naoki Yamamoto

We study a model of a quantum spin register interacting with an environment of spin particles in quantum-measurement limit. In the limit of collective decoherence we obtain the form of state vectors that constitute high-dimensional…

量子物理 · 物理学 2014-09-12 Paweł Należyty , Dariusz Chruściński

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

We investigate how to concatenate different decoherence-free subspaces (DFSs) to realize scalable universal fault-tolerant quantum computation. Based on tunable $XXZ$ interactions, we present an architecture for scalable quantum computers…

量子物理 · 物理学 2009-11-10 Zheng-Wei Zhou , Bo Yu , Xingxiang Zhou , Marc J. Feldman , Guang-Can Guo

Decoherence-free subspaces and subsystems (DFS) preserve quantum information by encoding it into symmetry-protected states unaffected by decoherence. An inherent DFS of a given experimental system may not exist; however, through the use of…

Decoherence-free state (DFS) encoding supplies a useful way to avoid the detrimental influence of the environment on quantum information processing. The DFS was previously well established in either the two subsystems locating at the same…

量子物理 · 物理学 2016-06-27 Chong Chen , Chun-Jie Yang , Jun-Hong An

The interest in decoherence-free, or noiseless subsystems (DFS/NSs) of quantum systems is both of fundamental and practical interest. Understanding the invariance of a set of states under certain transformations is mutually associated with…

量子物理 · 物理学 2009-11-13 C. Allen Bishop , Mark S. Byrd

In this paper, we propose a way to achieve protected universal computation in a neutral atom quantum computer subject to collective dephasing. Our proposal relies on the existence of a Decoherence Free Subspace (DFS), resulting from…

量子物理 · 物理学 2015-06-26 E. Brion , L. H. Pedersen , K. Molmer , S. Chutia , M. Saffman

Characterizing a quantum process is the critical first step towards applying such a process in a quantum information protocol. Full process characterization is known to be extremely resource-intensive, motivating the search for more…

量子物理 · 物理学 2015-06-05 D. H. Mahler , L. Rozema , A. Darabi , A. M. Steinberg

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
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