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This paper is an expanded and more detailed version of our recent work in which the Operator Quantum Error Correction formalism was introduced. This is a new scheme for the error correction of quantum operations that incorporates the known…

量子物理 · 物理学 2007-05-23 David W. Kribs , Raymond Laflamme , David Poulin , Maia Lesosky

The structure of all completely positive quantum operations is investigated which transform pure two-qubit input states of a given degree of entanglement in a covariant way. Special cases thereof are quantum NOT operations which transform…

量子物理 · 物理学 2009-11-13 J. Novotny , G. Alber , I. Jex

A central theme in current work in quantum information and quantum foundations is to see quantum mechanics as occupying one point in a space of possible theories, and to use this perspective to understand the special features and properties…

量子物理 · 物理学 2013-06-19 Samson Abramsky , Chris Heunen

We consider the problem of energy transport in a chain of coupled quantum systems with the goal of shedding light on how nonclassical resources can affect transport. We study the cases for which either coherent or incoherent energy hopping…

量子物理 · 物理学 2021-06-03 I. Medina , S. V. Moreira , F. L. Semião

It is one of the most fundamental objectives in quantum information science to understand the boundary between the computational power of classical and quantum computers. One possible avenue to explore this boundary is to identify classes…

量子物理 · 物理学 2025-03-28 Christophe Piveteau

In this thesis we describe methods for avoiding the detrimental effects of decoherence while at the same time still allowing for computation of the quantum information. The philosophy of the method discussed in the first part of this thesis…

量子物理 · 物理学 2007-05-23 D. Bacon

Superselection rules severly constrain the operations which can be implemented on a distributed quantum system. While the restriction to local operations and classical communication gives rise to entanglement as a nonlocal resource,…

量子物理 · 物理学 2009-11-10 Norbert Schuch , Frank Verstraete , J. Ignacio Cirac

Dissipation is commonly regarded as an obstacle to quantum control, as it induces decoherence and irreversibility. Here we demonstrate that dissipation can instead be exploited as a resource to reshape the dynamics of interacting quantum…

量子物理 · 物理学 2026-02-20 Debabrata Mondal , Lea F. Santos , S. Sinha

The concept of bock-coherence, first introduced in [1] and developed in [2,3] encompasses the case where experimental capabilities are not so delicate to perform arbitrary refined measurements on individual atoms. We develop a framework…

量子物理 · 物理学 2024-02-14 Azam Mani , Fatemeh Rezazadeh , Vahid Karimipour

This paper is concerned with open quantum harmonic oscillators (OQHOs) described by linear quantum stochastic differential equations. This framework includes isolated oscillators with zero Hamiltonian, whose system variables remain…

量子物理 · 物理学 2023-10-27 Igor G. Vladimirov , Ian R. Petersen

The Quantum Approximate Optimization Algorithm (QAOA) is a highly promising variational quantum algorithm that aims to solve combinatorial optimization problems that are classically intractable. This comprehensive review offers an overview…

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

The protection of qubit coherence is an essential task in order to build a practical quantum computer able to manipulate, store and read quantum information with a high degree of fidelity. Recently, it has been proposed to increase the…

量子物理 · 物理学 2022-05-26 Sylvain Bertaina , Hervé Vezin , Hans De Raedt , Irinel Chiorescu

We investigate the coherence of quantum channels and establish a resource theory for quantifying the coherence of quantum channels via Choi matrix. To this aim, we define the incoherent channels and incoherent superchannels. This theory…

量子物理 · 物理学 2019-11-12 Jianwei Xu

A reasonable quantum information theory for fermions must respect the parity super-selection rule to comply with the special theory of relativity and the no-signaling principle. This rule restricts the possibility of any quantum state to…

Nature imposes many restrictions on the operations that we perform. Many of these restrictions can be interpreted in terms of {\it resource} required to realize the operations. Classifying required resource for different types of operations…

量子物理 · 物理学 2021-01-04 Hiroyasu Tajima , Naoto Shiraishi , Keiji Saito

Quantum entanglement and coherence are two fundamental resources for quantum information processing. Recent results clearly demonstrate their relevance in quantum technological tasks, including quantum communication and quantum algorithms.…

量子物理 · 物理学 2018-04-16 Anurag Anshu , Rahul Jain , Alexander Streltsov

The construction of large, coherent quantum systems necessary for quantum computation remains an entreating but elusive goal, due to the ubiquitous nature of decoherence. Recent progress in quantum error correction schemes have given new…

量子物理 · 物理学 2008-02-03 Isaac L. Chuang , Yoshihisa Yamamoto

Intermittently powered devices enable new applications in harsh or inaccessible environments, such as space or in-body implants, but also introduce problems in programmability and correctness. Researchers have developed programming models…

编程语言 · 计算机科学 2021-06-29 Milijana Surbatovich , Limin Jia , Brandon Lucia

We introduce a framework for implementing quantum operations as steady states of a subsystem in an extended Hilbert space. Each operation has a spectral criterion for reaching the steady state. This adds a `spectral switch' mechanism to the…

量子物理 · 物理学 2026-03-27 Man Yin Cheung , Mona Berciu , Kyle Monkman