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We prove the difference between the minimal entanglement costs in quantum state merging under one-way and two-way communication in a one-shot scenario, whereas they have been known to coincide asymptotically. While the minimal entanglement…

量子物理 · 物理学 2019-04-11 Hayata Yamasaki , Mio Murao

We present a formula that determines the optimal number of qubits per message that allows asymptotically faithful compression of the quantum information carried by an ensemble of mixed states. The set of mixed states determines a…

量子物理 · 物理学 2009-11-07 Masato Koashi , Nobuyuki Imoto

We show that the two-axis counter twisting interaction squeezes a coherent spin state into three states of interest in quantum information, namely, the twin-Fock state, the equally-weighted superposition state, and the state that achieves…

量子物理 · 物理学 2015-01-07 Emi Yukawa , Gerard Milburn , Masahito Ueda , Kae Nemoto

We investigate the trade-off between information gain and disturbance for a class of weak von Neumann measurements on spin-$\frac{1}{2}$ particles, and derive the unusual measurement pointer state that saturates this trade-off. We then…

量子物理 · 物理学 2015-09-24 Ralph Silva , Nicolas Gisin , Yelena Guryanova , Sandu Popescu

Quantum state discrimination is a central problem in quantum measurement theory, with applications spanning from quantum communication to computation. Typical measurement paradigms for state discrimination involve a minimum probability of…

量子物理 · 物理学 2022-07-26 M. T. DiMario , F. E. Becerra

We consider measurement disturbance tradeoffs in quantum machine learning protocols which seek to learn about quantum data. We study the simplest example of a binary classification task, in the unsupervised regime. Specifically, we…

量子物理 · 物理学 2022-07-13 Hector Spencer-Wood , Sarah Croke , John Jeffers

When a quantum system is divided into two local subsystems, measurements on the two subsystems can exhibit correlations beyond those possible in a classical joint probability distribution; these are partially explained by entanglement, and…

量子物理 · 物理学 2019-06-17 Aaron Szasz

Quantum Darwinism recognizes the role of the environment as a communication channel: Decoherence can selectively amplify information about the pointer states of a system of interest (preventing access to complementary information about…

量子物理 · 物理学 2016-08-23 Michael Zwolak , C. Jess Riedel , Wojciech H. Zurek

The problem of discriminating the state of a quantum system among a number of hypothetical states is usually addressed under the assumption that one has perfect knowledge of the possible states of the system. In this thesis, I analyze the…

量子物理 · 物理学 2014-07-18 Gael Sentís

We consider two different optimized measurement strategies for the discrimination of nonorthogonal quantum states. The first is conclusive discrimination with a minimum probability of inferring an erroneous result, and the second is…

量子物理 · 物理学 2009-11-10 Ulrike Herzog , Janos A. Bergou

Deterministic chaos permits a precise notion of a "perfect measurement" as one that, when obtained repeatedly, captures all of the information created by the system's evolution with minimal redundancy. Finding an optimal measurement is…

机器学习 · 计算机科学 2024-03-21 Kieran A. Murphy , Dani S. Bassett

Quantum coherence is an important quantum resource and it is intimately related to various research fields. The geometric coherence is a coherence measure both operationally and geometrically. We study the trade-off relation of geometric…

量子物理 · 物理学 2023-10-25 Bingyu Hu , Ming-Jing Zhao

This paper studies the provision of incentives for information acquisition. Information is costly for an agent to acquire and unobservable to a principal. We show that any Pareto optimal contract has a decomposition into a fraction of…

理论经济学 · 经济学 2021-03-09 Aubrey Clark , Giovanni Reggiani

We introduce a new information-theoretic formulation of quantum measurement uncertainty relations, based on the notion of relative entropy between measurement probabilities. In the case of a finite-dimensional system and for any approximate…

数学物理 · 物理学 2018-03-02 Alberto Barchielli , Matteo Gregoratti , Alessandro Toigo

Quantum mechanics predicts that measurements of incompatible observables carry a minimum uncertainty which is independent of technical deficiencies of the measurement apparatus or incomplete knowledge of the state of the system. Nothing yet…

量子物理 · 物理学 2013-06-14 Davide Girolami , Tommaso Tufarelli , Gerardo Adesso

Thermodynamic entropy is not an entirely satisfactory measure of information of a quantum state. This entropy for an unknown pure state is zero, although repeated measurements on copies of such a pure state do communicate information. In…

量子物理 · 物理学 2015-06-26 Subhash Kak

We demonstrate that the concept of information offers a more complete description of complementarity than the traditional approach based on observables. We present the first experimental test of information complementarity for two-qubit…

Knowledge of optimal quantum measurements is important for a wide range of situations, including quantum communication and quantum metrology. Quantum measurements are usually optimised with an ideal experimental realisation in mind. Real…

量子物理 · 物理学 2015-06-03 Erika Andersson

This paper considers an information bottleneck problem with the objective of obtaining a most informative representation of a hidden feature subject to a R\'enyi entropy complexity constraint. The optimal bottleneck trade-off between…

信息论 · 计算机科学 2021-02-01 Jian-Jia Weng , Fady Alajaji , Tamás Linder

We find the optimal measurement for distinguishing between symmetric multi-mode phase-randomized coherent states. A motivation for this is that phase-randomized coherent states can be used for quantum communication, including quantum…

量子物理 · 物理学 2024-10-16 Ioannis Petrongonas , Erika Andersson