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We consider the problem of determining the state of an unknown quantum sequence without error. The elements of the given sequence are drawn with equal probability from a known set of linearly independent pure quantum states with the…

量子物理 · 物理学 2024-05-27 Tathagata Gupta , Shayeef Murshid , Somshubhro Bandyopadhyay

In quantum operations, probabilities characterise both the degree of the success of a state transformation and, as density operator eigenvalues, the degree of mixedness of the final state. We give a unified treatment of pure-to-pure state…

量子物理 · 物理学 2009-11-07 Anthony Chefles

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

Quantum state discrimination is a fundamental primitive in quantum statistics where one has to correctly identify the state of a system that is in one of two possible known states. A programmable discrimination machine performs this task…

量子物理 · 物理学 2015-05-19 G. Sentís , E. Bagan , J. Calsamiglia , R. Munoz-Tapia

One of the many interesting features of quantum nonlocality is that the states of a multipartite quantum system cannot always be distinguished as well by local measurements as they can when all quantum measurements are allowed. In this…

量子物理 · 物理学 2013-11-14 Somshubhro Bandyopadhyay , Michael Nathanson

Entangled physical systems are an important resource in quantum information. Some authors claim that in fact all quantum states are entangled. In this paper we show that this claim is incorrect and we discuss in operational way differences…

量子物理 · 物理学 2016-10-07 Marian Kupczynski

There are two common settings in a quantum-state discrimination problem. One is minimum-error discrimination where a wrong guess (error) is allowed and the discrimination success probability is maximized. The other is unambiguous…

量子物理 · 物理学 2009-11-13 A. Hayashi , T. Hashimoto , M. Horibe

A photon in an arbitrary polarization state cannot be cloned perfectly. But suppose that at our disposal we have several copies of an unknown photon. Is it possible to delete the information content of one or more of these photons by a…

量子物理 · 物理学 2017-05-10 Arun Kumar Pati , Samuel L. Braunstein

Quantum information processing rests on our ability to manipulate quantum superpositions through coherent unitary transformations. In reality the quantum information processor (a linear ion trap, or cavity qed implementation for example)…

量子物理 · 物理学 2009-10-30 S. Bose , P. L. Knight , M. Murao , M. B. Plenio , V. Vedral

Determining whether a quantum state is separable or entangled is a problem of fundamental importance in quantum information science. This is a brief review in which we consider the problem for states in infinite dimensional Hilbert spaces.…

计算复杂性 · 计算机科学 2007-05-23 Stefano Mancini , Simone Severini

A measurement strategy is developed for a new kind of hypothesis testing. It assigns, with minimum probability of error, the state of a quantum system to one or the other of two complementary subsets of a set of N given non-orthogonal…

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

A set of quantum states can be unambiguously discriminated if and only if they are linearly independent. However, for a linearly dependent set, if C copies of the state are available, then the resulting C particle states may form a linearly…

量子物理 · 物理学 2009-11-07 Anthony Chefles

For a system randomly prepared in a number of quantum states, we present a lower bound for the distinguishability of the quantum states, that is, the success probability of determining the states in the form of entropy. When the states are…

量子物理 · 物理学 2015-11-11 Seungho Yang , Jinhyoung Lee , Hyunseok Jeong

The accessible information decreases under quantum operations. We analyzed the connection between quantum operations and accessible information. We show that a general quantum process cannot be operated accurately. Futhermore, an unknown…

量子物理 · 物理学 2007-05-23 Qing-yu Cai

We present a general description of separable states in Quantum Mechanics. In particular, our result gives an easy proof that inseparabitity (or entanglement) is a pure quantum (noncommutative) notion. This implies that distinction between…

量子物理 · 物理学 2007-05-23 Adam W. Majewski

We investigate quantum information masking for arbitrary dimensional quantum states. We show that mutually orthogonal quantum states can always be served for deterministic masking of quantum information. We further construct a probabilistic…

量子物理 · 物理学 2019-06-05 Bo Li , Shu-han Jiang , Xiao-Bin Liang , Xianqing Li-Jost , Heng Fan , Shao-Ming Fei

Quantum state elimination measurements tell us what states a quantum system does not have. This is different from state discrimination, where one tries to determine what the state of a quantum system is, rather than what it is not. Apart…

The inherent limitations of physical processes prevent the copying of arbitrary quantum states. Furthermore, even if we only aim to clone two distinct quantum states, it remains impossible unless they are mutually orthogonal. To overcome…

量子物理 · 物理学 2025-07-24 Zhi-Hao Bi , Jing-Tao Qiu , Xiao-Dong Yu

We give a lower bound on the probability of error in quantum state discrimination. The bound is a weighted sum of the pairwise fidelities of the states to be distinguished.

量子物理 · 物理学 2016-11-15 Ashley Montanaro

The problem of unambiguous state discrimination consists of determining which of a set of known quantum states a particular system is in. One is allowed to fail, but not to make a mistake. The optimal procedure is the one with the lowest…

量子物理 · 物理学 2009-11-07 Mark Hillery , Jihane Mimih