Quantum state discrimination and its applications
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TLDR
This review serves to strengthen the link between results in quantum state discrimination and quantum information applications, by showing the ways in which the fundamental results are exploited in applications and vice versa.Abstract:
Quantum state discrimination underlies various applications in quantum information processing tasks. It essentially describes the distinguishability of quantum systems in different states, and the general process of extracting classical information from quantum systems. It is also useful in quantum information applications, such as the characterization of mutual information in cryptographic protocols, or as a technique for deriving fundamental theorems on quantum foundations. It has deep connections to physical principles such as relativistic causality. Quantum state discrimination traces a long history of several decades, starting with the early attempts to formalize information processing of physical systems such as optical communication with photons. Nevertheless, in most cases, the problems of finding optimal strategies of quantum state discrimination remain unsolved, and related applications are valid in some limited cases only. The present review aims to provide an overview on quantum state discrimination, covering some recent progress, and addressing applications in some selected areas. This review serves to strengthen the link between results in quantum state discrimination and quantum information applications, by showing the ways in which the fundamental results are exploited in applications and vice versa.read more
Citations
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Measures and applications of quantum correlations
TL;DR: In this paper, the authors give an overview of the current quest for a proper understanding and characterisation of the frontier between classical and quantum correlations in composite states, focusing on various approaches to define and quantify general QCs, based on different yet interlinked physical perspectives, and comment on the operational significance of the ensuing measures for quantum technology tasks such as information encoding, distribution, discrimination and metrology.
Journal ArticleDOI
Measures and applications of quantum correlations
TL;DR: This work gives an overview of the current quest for a proper understanding and characterisation of the frontier between classical and quantum correlations (QCs) in composite states, and focuses on various approaches to define and quantify general QCs, based on different yet interlinked physical perspectives.
Journal ArticleDOI
General Resource Theories in Quantum Mechanics and Beyond: Operational Characterization via Discrimination Tasks
Ryuji Takagi,Bartosz Regula +1 more
TL;DR: This work finds that discrimination tasks provide a unified operational description for quantification and manipulation of resources by showing that the family of robustness measures can be understood as the maximum advantage provided by any physical resource in several different discrimination tasks, as well as establishing that such discrimination problems can fully characterize the allowed transformations within the given resource theory.
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Non-Hermitian Hamiltonians and no-go theorems in quantum information
TL;DR: In this paper, a modified formulation of NHQM based on the geometry of Hilbert spaces was developed, which is consistent with the conventional quantum mechanics for Hermitian systems, including parity-time symmetric and pseudo-Hermitian cases.
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Quantum secret sharing via local operations and classical communication.
TL;DR: A standard (2, n)-threshold quantum secret sharing scheme (called LOCC-QSS scheme), which solves the open question of distinguishability of orthogonal multipartite entangled states in d-qudit system by restricted local operations and classical communication.
References
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Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
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