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The goal of comparison is to reveal the difference of compared objects as fast and reliably as possible. In this paper we formulate and investigate the unambiguous comparison of unknown quantum measurements represented by non-degenerate…

量子物理 · 物理学 2009-11-13 Mario Ziman , Teiko Heinosaari , Michal Sedlak

Entangled states play a fundamental role in Quantum Mechanics and are at the core of many contemporary applications, such as quantum communication and quantum computing. Therefore, determining whether a state is entangled or not is an…

量子物理 · 物理学 2023-05-11 J. Cortés-Vega , J. F. Barra , L. Pereira , A. Delgado

As an important quantum resource, quantum coherence play key role in quantum information processing. It is often concerned with manipulation of families of quantum states rather than individual states in isolation. Given two pairs of…

量子物理 · 物理学 2020-12-01 Zhaofang Bai , Shuanping Du

In quantum information theory, the reliable and effective detection of entanglement is of paramount importance. However, given an unknown state, assessing its entanglement is a challenging task. To attack this problem, we investigate the…

量子物理 · 物理学 2015-12-09 Jochen Szangolies , Hermann Kampermann , Dagmar Bruß

Determining an unknown quantum state from an ensemble of identical systems is a fundamental, yet experimentally demanding, task in quantum science. Here we study the number of measurement bases needed to fully characterize an arbitrary…

量子物理 · 物理学 2019-02-11 Leonardo Banchi , W. Steven Kolthammer , M. S. Kim

We propose and experimentally demonstrate non-destructive and noiseless removal (filtering) of vacuum states from an arbitrary set of coherent states of continuous variable systems. Errors i.e. vacuum states in the quantum information are…

量子物理 · 物理学 2009-11-13 C. Wittmann , D. Elser , U. L. Andersen , R. Filip , P. Marek , G. Leuchs

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 propose and theoretically investigate an unambiguous Bell measurement of atomic qubits assisted by multiphoton states. The atoms interact resonantly with the electromagnetic field inside two spatially separated optical cavities in a…

量子物理 · 物理学 2016-05-04 Juan Mauricio Torres , József Zsolt Bernád , Gernot Alber

The discrimination of quantum operations has long been an intriguing challenge, with theoretical research significantly advancing our understanding of the quantum features in discriminating quantum objects. This challenge is closely related…

Entanglement is a purely quantum mechanical phenomenon and thus it has no classical analog. On the other hand, coherence is a well-known phenomenon in classical optics and in quantum mechanics. Recent research shows that quantum coherence…

量子物理 · 物理学 2023-02-14 Anu Kumari , Satyabrata Adhikari

Quantum noise constitutes a fundamental obstacle to realizing practical quantum technologies. To address the pivotal challenge of identifying quantum systems least affected by noise, we introduce the purest quantum state identification,…

量子物理 · 物理学 2025-09-24 Yingqi Yu , Honglin Chen , Jun Wu , Wei Xie , Xiangyang Li

We extend the concept of probabilistic unambiguous discrimination of quantum states to quantum state estimation. We consider a scenario where the measurement device can output either an estimate of the unknown input state or an inconclusive…

量子物理 · 物理学 2009-11-13 Jaromir Fiurasek

The impossibility of deterministic and error-free discrimination among nonorthogonal quantum states lies at the core of quantum theory and constitutes a primitive for secure quantum communication. Demanding determinism leads to errors,…

量子物理 · 物理学 2021-12-21 M. A. Solís-Prosser , O. Jiménez , A. Delgado , L. Neves

This paper investigates symmetric composite binary quantum hypothesis testing (QHT), where the goal is to determine which of two uncertainty sets contains an unknown quantum state. While asymptotic error exponents for this problem are…

量子物理 · 物理学 2026-04-13 Jacob Paul Simpson , Efstratios Palias , Sharu Theresa Jose

The problem of quantum state classification asks how accurately one can identify an unknown quantum state that is promised to be drawn from a known set of pure states. In this work, we introduce the notion of $k$-learnability, which…

量子物理 · 物理学 2025-10-24 Nathaniel Johnston , Benjamin Lovitz , Vincent Russo , Jamie Sikora

We used quantum process tomography to investigate and identify the function of a nonideal two-qubit quantum-state filters subject to various degree of decoherence. We present a simple decoherence model that explains the experimental results…

量子物理 · 物理学 2009-11-10 Yoshihiro Nambu , Kazuo Nakamura

When comparing quantum states to each other, it is possible to obtain an unambiguous answer, indicating that the states are definitely different, already after a single measurement. In this paper we investigate comparison of coherent…

量子物理 · 物理学 2007-05-23 Erika Andersson , Marcos Curty , Igor Jex

Entanglement is one of the key resources of quantum information science which makes identification of entangled states essential to a wide range of quantum technologies and phenomena. This problem is however both computationally and…

量子物理 · 物理学 2020-08-18 Mohammad Yosefpor , Mohammad Reza Mostaan , Sadegh Raeisi

A new scheme is proposed to design excited coherent states. where the states ${\beta}$,${\alpha}$ denote the Glauber two variable minimum uncertainty coherent states, which minimize minimum uncertainty conditions while carrier nonclassical…

数学物理 · 物理学 2014-04-22 B. Mojaveri , A. Dehghani

Quantum benchmarks are routinely used to validate the experimental demonstration of quantum information protocols. Many relevant protocols, however, involve an infinite set of input states, of which only a finite subset can be used to test…

量子物理 · 物理学 2021-09-28 Ge Bai , Giulio Chiribella