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相关论文: Saturating the quantum Cram\'er-Rao bound using LO…

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The quantum Fisher information constrains the achievable precision in parameter estimation via the quantum Cram\'er-Rao bound, which has attracted much attention in Hermitian systems since the 60s of the last century. However, less…

量子物理 · 物理学 2021-03-15 Jianning Li , Haodi Liu , Zhihai Wang , Xuexi Yi

Suppose we want to identify an input state with one of two unknown reference states, where the input state is guaranteed to be equal to one of the reference states. We assume that no classical knowledge of the reference states is given, but…

量子物理 · 物理学 2009-11-13 Y. Ishida , T. Hashimoto , M. Horibe , A. Hayashi

Nonlocality exhibited by ensembles of composite quantum states, wherein local operations and classical communication (LOCC) yield suboptimal discrimination probabilities compared to global strategies, is one of the striking nonclassical…

量子物理 · 物理学 2025-12-02 Samrat Sen

Unsharp POVM measurements allow the estimation and tracking of quantum wavefunctions in real-time with minimal disruption of the dynamics. Here we demonstrate that high fidelity state monitoring, and hence quantum control, is possible even…

量子物理 · 物理学 2015-06-03 T. Konrad , H. Uys

Quantum Random Access Optimizer (QRAO) is a quantum-relaxation based optimization algorithm proposed by Fuller et al. that utilizes Quantum Random Access Code (QRAC) to encode multiple variables of binary optimization in a single qubit. The…

量子物理 · 物理学 2023-04-04 Kosei Teramoto , Rudy Raymond , Eyuri Wakakuwa , Hiroshi Imai

The utility of transmission measurement has made it a target for quantum enhanced measurement strategies. Here we find if the length of an absorbing object is a controllable variable, then via the Beer-Lambert law, classical strategies can…

Quantum learning encounters fundamental challenges when estimating non-linear properties, owing to the inherent linearity of quantum mechanics. Although recent advances in single-copy randomized measurement protocols have achieved optimal…

量子物理 · 物理学 2026-03-30 Zhenyu Du , Yifan Tang , Andreas Elben , Ingo Roth , Jens Eisert , Zhenhuan Liu

The Cram\'er-Rao bound (CRB), a well-known lower bound on the performance of any unbiased parameter estimator, has been used to study a wide variety of problems. However, to obtain the CRB, requires an analytical expression for the…

机器学习 · 计算机科学 2022-10-11 Hai Victor Habi , Hagit Messer , Yoram Bresler

Sensing a classical signal using a linear quantum device is a pervasive application of quantum-enhanced measurement. The fundamental precision limits of linear waveform estimation, however, are not fully understood. In certain cases, there…

广义相对论与量子宇宙学 · 物理学 2024-04-02 James W. Gardner , Tuvia Gefen , Simon A. Haine , Joseph J. Hope , Yanbei Chen

The discrimination of quantum states is a central problem in quantum information science and technology. Meanwhile, partial post-selection has emerged as a valuable tool for quantum state engineering. In this work, we bring these two areas…

量子物理 · 物理学 2026-04-14 Qipeng Qian , Christos N. Gagatsos

We introduce and implement a technique to extend the quantum computational power of cluster states by replacing some projective measurements with generalized quantum measurements (POVMs). As an experimental demonstration we fully realize an…

We characterize learnability for quantum measurement classes by establishing matching necessary and sufficient conditions for their PAC learnability, along with corresponding sample complexity bounds, in the setting where the learner is…

机器学习 · 统计学 2023-08-25 Abram Magner , Arun Padakandla

We study quantum hypothesis testing between orthogonal states under restricted local measurements in the many-copy scenario. For testing arbitrary multipartite entangled pure state against its orthogonal complement state via the local…

量子物理 · 物理学 2024-09-25 Hao-Chung Cheng , Andreas Winter , Nengkun Yu

We find a large class of pure and mixed input states with which the phase estimation precision saturates the Cramer-Rao bound under the compound measurements of parity and particle number. We further propose a quantum-phase-estimation…

量子物理 · 物理学 2019-04-23 Haijun Xing , Libin Fu , Su Yi

Classical locally recoverable codes (LRCs) have become indispensable in distributed storage systems. They provide efficient recovery in terms of localized errors. Quantum LRCs have very recently been introduced for their potential…

信息论 · 计算机科学 2023-12-19 Gaojun Luo , Bocong Chen , Martianus Frederic Ezerman , San Ling

We study measurement-based quantum computation (MQC) using as quantum resource the planar code state on a two-dimensional square lattice (planar analogue of the toric code). It is shown that MQC with the planar code state can be efficiently…

量子物理 · 物理学 2009-11-13 Sergey Bravyi , Robert Raussendorf

Several current ultra-wide band applications, such as millimeter wave radar and communication systems, require high sampling rates and therefore expensive and energy-hungry analogto-digital converters (ADCs). In applications where cost and…

信号处理 · 电气工程与系统科学 2022-09-28 Petre Stoica , Xiaolei Shang , Yuanbo Cheng

We experimentally analyzed the statistical errors in quantum-state estimation and examined whether their lower bound, which is derived from the Cramer-Rao inequality, can be truly attained or not. In the experiments, polarization states of…

量子物理 · 物理学 2013-05-29 Koji Usami , Yoshihiro Nambu , Yoshiyuki Tsuda , Keiji Matsumoto , Kazuo Nakamura

We investigate the relationship between projective measurements and positive operator-valued measures (POVMs) in the task of quantum steering. A longstanding open problem in the field has been whether POVMs are more powerful than projective…

量子物理 · 物理学 2025-01-06 Yujie Zhang , Eric Chitambar

In this paper we consider the conditions under which a given ensemble of two-qubit states can be optimally distinguished by local operations and classical communication (LOCC). We begin by completing the \emph{perfect} distinguishability…

量子物理 · 物理学 2014-05-14 Eric Chitambar , Runyao Duan , Min-Hsiu Hsieh