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In the problem of quantum state discrimination, one has to determine by measurements the state of a quantum system, based on the a priori side information that the true state is one of two given and completely known states, rho or sigma. In…

量子物理 · 物理学 2012-12-11 Koenraad M. R. Audenaert , Milan Mosonyi , Frank Verstraete

In this article, we study an opposite problem of universal quantum state comparison, that is unambiguous determining whether multiple unknown quantum states from a Hilbert space are orthogonal or not. We show that no unambiguous quantum…

量子物理 · 物理学 2015-06-05 Shengshi Pang , Shengjun Wu

We prove that every entangled state is useful as a resource for the problem of minimum-error channel discrimination. More specifically, given a single copy of an arbitrary bipartite entangled state, it holds that there is an instance of a…

量子物理 · 物理学 2009-07-17 M. Piani , J. Watrous

We prove a no-go theorem for a class of hidden variables theories that satisfy parameter independence. Specifically, we show that, assuming two conditions, there are no non-trivial hidden variables models of the quantum predictions for…

量子物理 · 物理学 2014-04-29 Guido Bacciagaluppi

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

From the perspective of quantum information theory, a system so simple as one restricted to just two nonorthogonal states can be surprisingly rich in physics. In this paper, we explore the extent of this statement through a review of three…

量子物理 · 物理学 2007-05-23 Christopher A. Fuchs

The Pusey-Barrett-Rudolph (PBR) no-go theorem provides an argument for the reality of the quantum state by ruling out {\psi}-epistemic ontological theories, in which the quantum state is of a statistical nature. It applies under an…

量子物理 · 物理学 2017-02-28 Shane Mansfield

We investigate how to determine whether the states of a set of quantum systems are identical or not. This paper treats both error-free comparison, and comparison where errors in the result are allowed. Error-free comparison means that we…

量子物理 · 物理学 2015-06-26 Igor Jex , Erika Andersson , Anthony Chefles

Quantum illumination is a technique for detecting the presence of a target in a noisy environment by means of a quantum probe. We prove that the two-mode squeezed vacuum state is the optimal probe for quantum illumination in the scenario of…

量子物理 · 物理学 2018-07-11 Giacomo De Palma , Johannes Borregaard

In this thesis we study the problem of unambiguously discriminating two mixed quantum states. We first present reduction theorems for optimal unambiguous discrimination of two generic density matrices. We show that this problem can be…

量子物理 · 物理学 2007-05-23 Philippe Raynal

Reducing the average resource consumption is the central quest in discriminating non-orthogonal quantum states for a fixed admissible error rate $\varepsilon$. The globally optimal fixed local projective measurement (GOFL) for this task is…

量子物理 · 物理学 2023-10-17 Boxuan Tian , Wenzhe Yan , Zhibo Hou , Guo-Yong Xiang , Chuan-Feng Li , Guang-Can Guo

We study how to unambiguously identify a given quantum pure state with one of the two reference pure states when no classical knowledge on the reference states is given but a certain number of copies of each reference quantum state are…

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

In this article, we study the problem of comparing mixed quantum states: given $n$ unknown mixed quantum states, can one determine whether they are identical or not with an unambiguous quantum measurement? We first study universal…

量子物理 · 物理学 2015-05-18 Shengshi Pang , Shengjun Wu

We discuss the disturbance by measurements which unambiguously discriminate between given candidate states. We prove that such an optimal measurement necessarily changes distinguishable states indistinguishable when the inconclusive outcome…

量子物理 · 物理学 2018-03-14 Ryuitiro Kawakubo , Tatsuhiko Koike

The quantum state discrimination problem is to distinguish between non-orthogonal quantum states. This problem has many applications in quantum information theory, quantum communication and quantum cryptography. In this paper a quantum…

量子物理 · 物理学 2021-02-25 Doha A. Rizk , Ahmed Younes

Quantum illumination employs entangled states to detect a weakly reflective target in a thermal bath. The performance of a given entangled state is evaluated from the minimum error probability in the asymptotic limit, which is compared…

量子物理 · 物理学 2021-10-14 Changsuk Noh , Changhyoup Lee , Su-Yong Lee

We consider a protocol to perform the optimal quantum state discrimination of $N$ linearly independent non-orthogonal pure quantum states and present a computational code. Through the extension of the original Hilbert space, it is possible…

量子物理 · 物理学 2016-09-08 Wilson R. M. Rabelo , Alexandre G. Rodrigues , Reinaldo O. Vianna

In this paper, we consider the problem of discriminating quantum states by local operations and classical communication (LOCC) when an arbitrarily small amount of error is permitted. This paradigm is known as asymptotic state…

量子物理 · 物理学 2014-12-02 Eric Chitambar , Min-Hsiu Hsieh

In quantum theory, the no-information-without-disturbance and no-free-information theorems express that those observables that do not disturb the measurement of another observable and those that can be measured jointly with any other…

量子物理 · 物理学 2019-07-10 Teiko Heinosaari , Leevi Leppäjärvi , Martin Plávala

The no-masking theorem states that it is impossible to encode an arbitrary quantum state into the correlations between two subsystems so that no original information about is accessible in the marginal state of either subsystem. In this…

量子物理 · 物理学 2020-09-22 Mao-Sheng Li , Kavan Modi