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The conventional approach to understanding the characteristics of an unknown quantum state involves having numerous identical independent copies of the system in that state. However, we demonstrate that gleaning insights into specific…

量子物理 · 物理学 2024-04-09 Nengkun Yu

The problem of unambiguously distinguishing among nonorthogonal but linearly independent quantum states can be solved by mapping the set of nonorthogonal quantum states onto a set of orthogonal ones, which can then be distinguished without…

量子物理 · 物理学 2009-11-06 Yuqing Sun , Mark Hillery , Janos Bergou

Quantum sorter has gained a lot of attention during the last years due to its wide application in quantum information processing and quantum technologies. A challenging task is the construction of a quantum sorter, which collect many…

量子物理 · 物理学 2019-09-06 Iulia Ghiu

Copying information is an elementary operation in classical information processing. However, copying seems rather different in the quantum regime. Since the discovery of the universal quantum cloning machine, much has been found from the…

量子物理 · 物理学 2007-05-23 K. Maruyama , P. L. Knight

We investigate quantum state discrimination with confidentiality. $N$ observers share a given quantum state belonging to a finite set of known states. The observers want to determine the state as accurately as possible and send a…

量子物理 · 物理学 2015-06-30 Kenji Nakahira , Tsuyoshi Sasaki Usuda , Kentaro Kato

The linearity of quantum operations puts many fundamental constraints on the information processing tasks we can achieve on a quantum system whose state is not exactly known, just as we observe in quantum cloning and quantum discrimination.…

量子物理 · 物理学 2009-11-11 Yuan Feng , Runyao Duan , Zhengfeng Ji

In this work, we reveal a new type of impossibility discovered in our recent research which forbids comparing the closeness of multiple unknown quantum states with any non-trivial threshold in a perfect or an unambiguous way. This…

量子物理 · 物理学 2015-05-30 Shengshi Pang , Shengjun Wu , Zeng-Bing Chen

In order to relate the probabilistic predictions of quantum theory uniquely to measurement results, one has to conceive of an ensemble of identically prepared copies of the quantum system under study. Since the universe is the total domain…

量子物理 · 物理学 2007-05-23 Helmut Fink , Hajo Leschke

Quantum state discrimination is a fundamental information processing task that serves as a building block for numerous applications and provides implications at the foundational level. In this work, we consider minimum error discrimination…

量子物理 · 物理学 2026-04-30 Tim Achenbach , Leevi Leppäjärvi , Hanwool Lee , Teiko Heinosaari

We discuss how to reconstruct quantum theory from operational postulates. In particular, the following postulates are consistent only with for classical probability theory and quantum theory. Logical Sharpness: There is a one-to-one map…

量子物理 · 物理学 2013-03-20 Lucien Hardy

The principle of superposition is an intriguing feature of Quantum Mechanics, which is regularly exploited at various instances. A recent work [PRL \textbf{116}, 110403 (2016)] shows that the fundamentals of Quantum Mechanics restrict the…

量子物理 · 物理学 2018-05-31 Shruti Dogra , George Thomas , Sibasish Ghosh , Dieter Suter

We discuss the usefulness of quantum cloning and present examples of quantum computation tasks for which cloning offers an advantage which cannot be matched by any approach that does not resort to it. In these quantum computations, we need…

量子物理 · 物理学 2007-05-23 Gao Ting , Yan Feng-Li , Wang Zhi-Xi

We address the following state comparison problem: is it possible to design an experiment enabling us to unambiguously decide (based on the observed outcome statistics) on the sameness or difference of two unknown state preparations without…

量子物理 · 物理学 2012-06-05 Sergey N. Filippov , Mario Ziman

The problem of quantum state filtering consists of determining whether an unknown quantum state, which is chosen from a known set of states, is either a particular, specified state, or not. We consider this problem for the case that the…

量子物理 · 物理学 2009-11-07 Janos A. Bergou , Ulrike Herzog , Mark Hillery

We discuss the "partial" quantum cloning of the pure two-partite states, when the "part" of initial state related to the one qubit is copied only. The same approach gives the possibility to design the quantum copying machine for the mixed…

量子物理 · 物理学 2007-11-20 A. Ya. Kazakov

We investigate the unambiguous comparison of quantum states in a scenario that is more general than the one that was originally suggested by Barnett et al. First, we find the optimal solution for the comparison of two states taken from a…

量子物理 · 物理学 2007-05-23 M. Kleinmann , H. Kampermann , D. Bruss

It is well known that quantum theory forbids the exact copying of an unknown quantum state. Therefore in broadcasting of classical information by a quantum channel an additional contribution to the error in the decoding is expected. We…

量子物理 · 物理学 2007-05-23 A. E. Allahverdyan , D. B. Saakian

Masking of data is a method to protect information by shielding it from a third party, however keeping it usable for further usages like application development, building program extensions to name a few. Whereas it is possible for…

量子物理 · 物理学 2021-08-03 Tamal Ghosh , Soumya Sarkar , Bikash K. Behera , Prasanta K. Panigrahi

The commonly used circuit model of quantum computing leaves out the problems of imprecision in the initial state preparation, particle statistics (indistinguishability of particles belonging to the same quantum state), and error correction…

量子物理 · 物理学 2007-05-23 Subhash Kak

We consider one copy of a quantum system prepared in one of two orthogonal pure states, entangled or otherwise, and distributed between any number of parties. We demonstrate that it is possible to identify which of these two states the…

量子物理 · 物理学 2009-11-06 Jonathan Walgate , Anthony J. Short , Lucien Hardy , Vlatko Vedral