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It is a fundamental consequence of the superposition principle for quantum states that there must exist non-orthogonal states, that is states that, although different, have a non-zero overlap. This finite overlap means that there is no way…

量子物理 · 物理学 2008-10-14 Stephen M. Barnett , Sarah Croke

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

In the present paper I formulate a framework that accommodates many unambiguous discrimination problems. I show that the prior information about any type of constituent (state, channel, or observable) allows us to reformulate the…

量子物理 · 物理学 2010-03-15 Michal Sedlák

The indistinguishability of non-orthogonal pure states lies at the heart of quantum information processing. Although the indistinguishability reflects the impossibility of measuring complementary physical quantities by a single measurement,…

量子物理 · 物理学 2019-02-13 Seiseki Akibue , Go Kato , Naoki Marumo

We develop a quantum learning scheme for binary discrimination of coherent states of light. This is a problem of technological relevance for the reading of information stored in a digital memory. In our setting, a coherent light source is…

量子物理 · 物理学 2015-07-09 Gael Sentís , Madalin Guta , Gerardo Adesso

Quantum coherence is one of the most basic characteristics of quantum mechanics. Here we give some methods to detect and measure quantum coherence. Firstly, we propose a coherence criterion without full quantum state tomography based on…

量子物理 · 物理学 2025-06-19 Yiding Wang , Tinggui Zhang

The nonorthogonality of coherent states is a fundamental property which prevents them from being perfectly and deterministically discriminated. To circumvent this problem, we present an experimentally feasible protocol for the probabilistic…

量子物理 · 物理学 2017-02-02 Regina Kruse , Christine Silberhorn , Tim J. Bartley

The task of state discrimination for a set of mutually orthogonal pure states is trivial if one has access to the corresponding sharp (projection-valued) measurement, but what if we are restricted to an unsharp measurement? Given that any…

量子物理 · 物理学 2021-03-03 Tom Bullock , Teiko Heinosaari

Quantum state preparation is important for quantum information processing. In particular, in optical quantum computing with continuous variables, non-Gaussian states are needed for universal operation and error correction. Optical…

Error probability is a popular and well-studied optimization criterion in discriminating non-orthogonal quantum states. It captures the threat from an adversary who can only query the actual state once. However, when the adversary is able…

量子物理 · 物理学 2015-05-11 Weien Chen , Yongzhi Cao , Hanpin Wang , Yuan Feng

A core principle of quantum theory is that non-orthogonal quantum states cannot be perfectly distinguished with single-shot measurements. However, it is possible to exclude a subset of non-orthogonal states without error in certain…

We propose an optimal discrimination scheme for a case of four linearly independent nonorthogonal symmetric quantum states, based on linear optics only. The probability of discrimination is in agreement with the optimal probability for…

量子物理 · 物理学 2009-11-13 O. Jiménez , X. Sánchez-Lozano , A. Delgado , C. Saavedra

Improved measurement techniques are central to technological development and foundational scientific exploration. Quantum optics relies upon detectors sensitive to non-classical features of light, enabling precise tests of physical laws and…

量子物理 · 物理学 2014-07-18 Merlin Cooper , Michal Karpinski , Brian J. Smith

There are fundamental limits to the accuracy with which one can determine the state of a quantum system. I give an overview of the main approaches to quantum state discrimination. Several strategies exist. In quantum hypothesis testing, a…

量子物理 · 物理学 2009-11-06 Anthony Chefles

Several proposed techniques for distinguishing between optical coherent states are analyzed under a physically realistic model of photodetection. Quantum error probabilities are derived for the Kennedy receiver, the Dolinar receiver and the…

量子物理 · 物理学 2009-11-10 JM Geremia

The characterization and conditional preparation of multi-photon quantum states requires the use of photon number resolving detectors. We study the use of detectors based on multiple avalanche photodiode pixels in this context. We develop a…

量子物理 · 物理学 2013-05-29 I. Afek , A. Natan , O. Ambar , Y. Silberberg

We address perfect discrimination of two separable states. When available states are restricted to separable states, we can theoretically consider a larger class of measurements than the class of measurements allowed in quantum theory. The…

量子物理 · 物理学 2020-10-08 Hayato Arai , Yuuya Yoshida , Masahito Hayashi

State discrimination is a useful test problem with which to clarify the power and limitations of different classes of measurement. We consider the problem of discriminating between given states of a bi-partite quantum system via sequential…

量子物理 · 物理学 2017-09-25 Sarah Croke , Stephen M. Barnett , Graeme Weir

We present a method for the experimental measurement of nonclassicality witnesses and demonstrate its application. Our proposal only requires the coherent displacement of the initial state, which can be achieved by overlapping the latter…

量子物理 · 物理学 2015-06-05 T. Kiesel , W. Vogel

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