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Based on the theory of quantum mechanics, intrinsic randomness in measurement distinguishes quantum effects from classical ones. From the perspective of states, this quantum feature can be summarized as coherence or superposition in a…

量子物理 · 物理学 2017-04-03 Xiao Yuan , Hongyi Zhou , Zhu Cao , Xiongfeng Ma

The recent development of general quantum resource theories has given a sound basis for the quantification of useful quantum effects. Nevertheless, the evaluation of a resource measure can be highly non-trivial, involving an optimisation…

We introduce a resource monotone, the completeness stability, to quantify the quality of quantum measurements within a resource-theoretic framework. By viewing a quantum measurement as a frame, the minimum eigenvalue of a frame operator…

量子物理 · 物理学 2026-01-21 Rakesh Saini , Jukka Kiukas , Daniel Burgarth , Alexei Gilchrist

We consider the problem of deciding whether a given state preparation, i.e., a source of quantum states, is accurate, namely produces states close to a target one within a prescribed threshold. We show that, when multiple measurements need…

量子物理 · 物理学 2024-01-22 Weichao Liang , Francesco Ticozzi , Giuseppe Vallone

Weak measurements may result in extra quantity of quantumness of correlations compared with standard projective measurement on a bipartite quantum state. We show that the quantumness of correlations by weak measurements can be consumed for…

量子物理 · 物理学 2014-03-18 Lin-Ping Huai , Bo Li , Shi-Xian Qu , Heng Fan

Three recent arguments seek to show that the universal applicability of unitary quantum theory is inconsistent with the assumption that a well-conducted measurement always has a definite physical outcome. In this paper I restate and analyze…

量子物理 · 物理学 2018-10-17 Richard A. Healey

We initiate the systematic study of experimental quantum physics from the perspective of computational complexity. To this end, we define the framework of quantum algorithmic measurements (QUALMs), a hybrid of black box quantum algorithms…

量子物理 · 物理学 2022-03-09 Dorit Aharonov , Jordan Cotler , Xiao-Liang Qi

Measurements serve as the intermediate communication layer between the quantum world and our classical perception. So, the question which measurements efficiently extract information from quantum systems is of central interest. Using…

量子物理 · 物理学 2020-12-14 H. Chau Nguyen , Otfried Gühne

Among the most fundamental questions in the manipulation of quantum resources such as entanglement is the possibility of reversibly transforming all resource states. The key consequence of this would be the identification of a unique…

量子物理 · 物理学 2024-04-18 Bartosz Regula , Ludovico Lami

We address a broad class of optimization problems of finding quantum measurements, which includes the problems of finding an optimal measurement in the Bayes criterion and a measurement maximizing the average success probability with a…

量子物理 · 物理学 2015-06-23 Kenji Nakahira , Kentaro Kato , Tsuyoshi Sasaki Usuda

Recently, various non-classical properties of quantum states and channels have been characterized through an advantage they provide in specific quantum information tasks over their classical counterparts. Such advantage can be typically…

量子物理 · 物理学 2022-01-05 Erkka Haapasalo , Tristan Kraft , Juha-Pekka Pellonpää , Roope Uola

Quantum technology offers great advantages in many applications by exploiting quantum resources like nonclassicality, coherence, and entanglement. In practice, an environmental noise unavoidably affects a quantum system and it is thus an…

量子物理 · 物理学 2024-01-03 Jaehak Lee , Kyunghyun Baek , Jiyong Park , Jaewan Kim , Hyunchul Nha

This thesis seeks to develop a general method for solving so-called quantum realizability problems, which are questions of the following form: under which conditions does there exist a quantum state exhibiting a given collection of…

量子物理 · 物理学 2024-02-20 Thomas C. Fraser

The standard approach to quantum measurement discrimination is to perform the given unknown measurement on a probe state, possibly entangled with an auxiliary system, and make a decision based on the measurement outcome obtained. In this…

量子物理 · 物理学 2026-02-25 Charbel Eid , Marco Túlio Quintino

We study the problem of quantum-state tomography under the assumption that the state of the system is close to pure. In this context, an efficient measurements that one typically formulates uniquely identify a pure state from within the set…

量子物理 · 物理学 2016-05-11 Amir Kalev , Charles H. Baldwin , Ivan H. Deutsch

Recently, the projective robustness of quantum states has been introduced in [arXiv:2109.04481(2021)]. It shows that the projective robustness is a useful resource monotone and can comprehensively characterize capabilities and limitations…

量子物理 · 物理学 2022-06-15 Mingfei Ye , Yu Luo , Zhihui Li , Yongming Li

Recently, a framework was established to systematically construct novel universal resource states for measurement-based quantum computation using techniques involving finitely correlated states. With these methods, universal states were…

量子物理 · 物理学 2009-08-04 J. -M. Cai , W. Dür , M. Van den Nest , A. Miyake , H. J. Briegel

Magic quantum states (non-stabilizer states) play a pivotal role in fault-tolerant quantum computation. Simultaneously, random resources have emerged as a key element in various randomized techniques within contemporary quantum science. In…

量子物理 · 物理学 2025-07-17 Christopher Vairogs , Bin Yan

We discuss the use of back-action of quantum measurements as a resource for controlling quantum systems and review its application to optimal approximation of quantum anti-Zeno effect.

量子物理 · 物理学 2015-08-19 Alexander Pechen

Learning properties of quantum states and channels is known to benefit from resources such as entangled operations, auxiliary qubits, and adaptivity, whereas the resource structure of measurement learning, namely, learning properties of…

量子物理 · 物理学 2026-02-26 Zhenhuan Liu , Qi Ye , Zhenyu Cai , Jens Eisert