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We consider the problem of minimum-error quantum state discrimination for single-qubit mixed states. We present a method which uses the Helstrom conditions constructively and analytically; this algebraic approach is complementary to…

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

We analyze the fundamental quantum limit of the resolution of an optical imaging system from the perspective of the detection problem of deciding whether the optical field in the image plane is generated by one incoherent on-axis source…

量子物理 · 物理学 2018-12-10 Xiao-Ming Lu , Hari Krovi , Ranjith Nair , Saikat Guha , Jeffrey H. Shapiro

Quantum target detection is an emerging application that utilizes entanglement to enhance the sensing of the presence of an object. Although several experimental demonstrations for certain situations have been reported recently, the…

量子物理 · 物理学 2021-07-27 Feixiang Xu , Xiao-Ming Zhang , Liang Xu , Tao Jiang , Man-Hong Yung , Lijian Zhang

We consider the problem of detecting the true quantum state among r possible ones, based on measurements performed on n of copies of a finite dimensional quantum system. It is known that the exponent for the rate of decrease of the averaged…

量子物理 · 物理学 2013-08-30 Michael Nussbaum

It is well known that a minimum error quantum measurement for arbitrary binary optical coherent states can be realized by a receiver that comprises interfering with a coherent reference light, photon counting, and feedback control. We show…

量子物理 · 物理学 2018-02-16 Kenji Nakahira , Kentaro Kato , Tsuyoshi Sasaki Usuda

We propose a near-optimum receiver for the discrimination of binary phase-shift-keyed coherent states employing photon-number-resolving detectors. The receiver exploits a discrimination strategy based on both the so-called homodyne-like and…

量子物理 · 物理学 2023-03-10 Michele N. Notarnicola , Matteo G. A. Paris , Stefano Olivares

A core problem in communications is the optimal discrimination of binary-phase-shift-keyed (BPSK) signals. A longstanding goal has been to reach the fundamental quantum limit, known as the Helstrom bound, for BPSK signals encoded in…

We study the discrimination of weak coherent states of light with significant overlaps by nondestructive measurements on the light states through measuring atomic states that are entangled to the coherent states via dipole coupling. In this…

量子物理 · 物理学 2018-04-20 Rui Han , János A. Bergou , Gerd Leuchs

Two types of errors can occur when discriminating pairs of quantum states. Asymmetric state discrimination involves minimizing the probability of one type of error, subject to a constraint on the other. We give explicit expressions bounding…

量子物理 · 物理学 2023-11-23 Jason L. Pereira , Leonardo Banchi , Stefano Pirandola

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

We show that the quantum measurement known as the pretty good measurement can be used to identify an unknown quantum state picked from any set of $n$ mixed states that have pairwise fidelities upper-bounded by a constant below 1, given…

量子物理 · 物理学 2019-11-11 Ashley Montanaro

We consider the multiple hypothesis testing problem for symmetric quantum state discrimination between r given states \sigma_1,...,\sigma_r. By splitting up the overall test into multiple binary tests in various ways we obtain a number of…

量子物理 · 物理学 2014-11-05 Koenraad M. R. Audenaert , Milán Mosonyi

We consider the problem of discriminating two different quantum states in the setting of asymptotically many copies, and determine the optimal strategy that minimizes the total probability of error. This leads to the identification of the…

量子物理 · 物理学 2007-05-23 K. M. R. Audenaert , J. Calsamiglia , Ll. Masanes , R. Munoz-Tapia , A. Acin , E. Bagan , F. Verstraete

We give the optimal bounds on the phase-estimation precision for mixed Gaussian states in the single-copy and many-copy regimes. Specifically, we focus on displaced thermal and squeezed thermal states. We find that while for displaced…

量子物理 · 物理学 2009-05-11 M. Aspachs , J. Calsamiglia , R. Munoz-Tapia , E. Bagan

The optimal discrimination of non-orthogonal quantum states with minimum error probability is a fundamental task in quantum measurement theory as well as an important primitive in optical communication. In this work, we propose and…

量子物理 · 物理学 2009-11-13 C. Wittmann , M. Takeoka , K. N. Cassemiro , M. Sasaki , G. Leuchs , U. L. Andersen

Determining the presence of a potential optical source in the interest region is important for an imaging system and can be achieved by using hypothesis testing. The previous studies assume that the potential source is completely…

量子物理 · 物理学 2024-10-23 Jian-Dong Zhang , Kexin Zhang , Lili Hou , Shuai Wang

We propose an inverse-squeezing Kennedy receiver for discriminating binary phase-shift-keyed displaced squeezed vacuum states. The receiver combines a Kennedy-type nulling displacement, an orthogonally oriented inverse-squeezing operation…

量子物理 · 物理学 2026-05-13 Enhao bai , Jian Peng , Tianyi Wu , Kai Wen , Fengkai Sun , Chun Zhou , Yaping Li , Zhenrong Zhang , Chen Dong

Strategies to optimally discriminate between quantum states are critical in quantum technologies. We present an experimental demonstration of minimum error discrimination between entangled states, encoded in the polarization of pairs of…

量子物理 · 物理学 2015-05-19 Yang Lu , Nick Coish , Rainer Kaltenbaek , Deny R. Hamel , Sarah Croke , Kevin J. Resch

We consider the problem of discriminating quantum states, where the task is to distinguish two different quantum states with a complete classical knowledge about them, and the problem of classifying quantum states, where the task is to…

量子物理 · 物理学 2021-12-10 Fabio Zoratti , Nicola Dalla Pozza , Marco Fanizza , Vittorio Giovannetti

Quantum metrology utilizes nonclassical resources, such as entanglement or squeezed light, to realize sensors whose performance exceeds that afforded by classical-state systems. Environmental loss and noise, however, easily destroy…

量子物理 · 物理学 2017-02-01 Quntao Zhuang , Zheshen Zhang , Jeffrey H. Shapiro