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We explicitly calculate information, fidelity, and reversibility of an arbitrary single-qubit measurement on a completely unknown state. These quantities are expressed as functions of a single parameter, which is the ratio of the two…

量子物理 · 物理学 2011-03-21 Hiroaki Terashima

We present the amounts of information, fidelity, and reversibility obtained by arbitrary quantum measurements on completely unknown states. These quantities are expressed as functions of the singular values of a measurement operator…

量子物理 · 物理学 2016-02-05 Hiroaki Terashima

Estimating the fidelity with a target state is important in quantum information tasks. Many fidelity estimation techniques present a suitable measurement scheme to perform the estimation. In contrast, we present techniques that allow the…

量子物理 · 物理学 2024-07-12 Akshay Seshadri , Martin Ringbauer , Jacob Spainhour , Thomas Monz , Stephen Becker

We propose measurement integrity, a property related to ex post reward fairness, as a novel desideratum for peer prediction mechanisms in many natural applications. Like robustness against strategic reporting, the property that has been the…

计算机科学与博弈论 · 计算机科学 2022-09-26 Noah Burrell , Grant Schoenebeck

We compare and contrast the error probability and fidelity as measures of the quality of the receiver's measurement strategy for a quantum communications system. The error probability is a measure of the ability to retrieve {\it classical}…

量子物理 · 物理学 2009-11-07 Stephen M. Barnett , Claire R. Gilson , Masahide Sasaki

The physical problem behind informationally complete (IC) measurements is determining an unknown state statistically by measurement outcomes, known as state tomography. It is of central importance in quantum information processing such as…

量子物理 · 物理学 2023-09-26 Hao Shu

Starting from a simple estimation problem, here we propose a general approach for decoding quantum measurements from the perspective of information extraction. By virtue of the estimation fidelity only, we provide surprisingly simple…

量子物理 · 物理学 2022-10-04 Huangjun Zhu

We propose practical and efficient protocols for verifying bipartite pure states for any finite dimension, which can also be applied to fidelity estimation. Our protocols are based on adaptive local projective measurements with either…

量子物理 · 物理学 2019-09-18 Zihao Li , Yun-Guang Han , Huangjun Zhu

One of the biggest problems in the theory of quantum information is the quantification of amount of entanglement in an arbitrary multipartite mixed state. Different axiomatic and operational measures were proposed so far. In this work we…

量子物理 · 物理学 2009-11-11 Alexander Streltsov

We define a measure of redundant information based on projections in the space of probability distributions. Redundant information between random variables is information that is shared between those variables. But in contrast to mutual…

信息论 · 计算机科学 2013-05-30 Malte Harder , Christoph Salge , Daniel Polani

We explore precision in a measurement process incorporating pure probe states, unitary dynamics and complete measurements via a simple formalism. The concept of `information complement' is introduced. It undermines measurement precision and…

量子物理 · 物理学 2010-02-17 Gabriel A. Durkin

A geometric approach to formulate the uncertainty principle between quantum observables acting on an $N$-dimensional Hilbert space is proposed. We consider the fidelity between a density operator associated with a quantum system and a…

量子物理 · 物理学 2015-06-16 G. M. Bosyk , T. M. Osán , P. W. Lamberti , M. Portesi

Fidelity is a fundamental measure for the closeness of two quantum states, which is important both from a theoretical and a practical point of view. Yet, in general, it is difficult to give good estimates of fidelity, especially when one…

量子物理 · 物理学 2022-03-31 András Gilyén , Alexander Poremba

This paper is a study of techniques for measuring and predicting visual fidelity. As visual stimuli we use polygonal models, and vary their fidelity with two different model simplification algorithms. We also group the stimuli into two…

图形学 · 计算机科学 2025-07-17 Benjamin Watson , Alinda Friedman , Aaron McGaffey

Fidelity is a figure of merit widely employed in quantum technology in order to quantify similarity between quantum states and, in turn, to assess quantum resources or reconstruction techniques. Fidelities higher than, say, 0.9 or 0.99, are…

量子物理 · 物理学 2015-06-17 Matteo Bina , Antonio Mandarino , Stefano Olivares , Matteo G. A. Paris

We derive a tight bound between the quality of estimating a quantum state by measurement and the success probability of undoing the measurement in arbitrary dimensional systems, which completely describes the tradeoff relation between the…

量子物理 · 物理学 2012-10-12 Yong Wook Cheong , Seung-Woo Lee

In the general theory of quantum measurement, one associates a positive semidefinite operator on a $d$-dimensional Hilbert space to each of the $n$ possible outcomes of an arbitrary measurement. In the special case of a projective…

量子物理 · 物理学 2021-11-23 Yizhou Liu , John B. DeBrota

We derive an exact expression for the quantumness of a Hilbert space (defined in quant-ph/0302092), and show that in composite Hilbert spaces the signal states must contain at least some entangled states in order to achieve such a…

量子物理 · 物理学 2007-05-23 Christopher A. Fuchs

Given an unknown state of a qudit that has already been measured optimally, can one still extract any information about the original unknown state? Clearly, after a maximally informative measurement, the state of the system `collapses' into…

量子物理 · 物理学 2011-09-26 Peter Rapcan , John Calsamiglia , Ramon Munoz-Tapia , Emilio Bagan , Vladimir Buzek

Replicability and reproducibility of experimental results are primary concerns in all the areas of science and IR is not an exception. Besides the problem of moving the field towards more reproducible experimental practices and protocols,…

信息检索 · 计算机科学 2020-10-27 Timo Breuer , Nicola Ferro , Norbert Fuhr , Maria Maistro , Tetsuya Sakai , Philipp Schaer , Ian Soboroff
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