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In this paper we discuss the problem of splitting the total correlations for a bipartite quantum state described by the Von Neumann mutual information into classical and quantum parts. We propose a measure of the classical correlations as…

量子物理 · 物理学 2009-11-07 S. Hamieh , J. Qi , D. Siminovitch , M. K. Ali

Quantum information theory is built upon the realisation that quantum resources like coherence and entanglement can be exploited for novel or enhanced ways of transmitting and manipulating information, such as quantum cryptography,…

量子物理 · 物理学 2016-11-08 Gerardo Adesso , Thomas R. Bromley , Marco Cianciaruso

We present an iterative method to solve the multipartite quantum state estimation problem. We demonstrate convergence for any informationally complete set of generalized quantum measurements in every finite dimension. Our method exhibits…

量子物理 · 物理学 2022-03-21 Daniel Uzcategui Contreras , Gabriel Senno , Dardo Goyeneche

We prove a version of the data-processing inequality for the relative entropy for general von Neumann algebras with an explicit lower bound involving the measured relative entropy. The inequality, which generalizes previous work by Sutter…

数学物理 · 物理学 2024-04-23 Stefan Hollands

Quantum discord as a measure of the quantum correlations cannot be easily computed for most of density operators. In this paper, we present a measure of the total quantum correlations that is operationally simple and can be computed…

量子物理 · 物理学 2016-04-19 Javad Behdani , Seyed Javad Akhtarshenas , Mohsen Sarbishaei

Estimation of quantum states and measurements is crucial for the implementation of quantum information protocols. The standard method for each is quantum tomography. However, quantum tomography suffers from systematic errors caused by…

量子物理 · 物理学 2018-10-19 Adam C. Keith , Charles H. Baldwin , Scott Glancy , E. Knill

Various measures have been suggested recently for quantifying the coherence of a quantum state with respect to a given basis. We first use two of these, the l_1-norm and relative entropy measures, to investigate tradeoffs between the…

量子物理 · 物理学 2015-10-08 Shuming Cheng , Michael J. W. Hall

Quantifying correlation and entanglement between molecular orbitals can elucidate the role of quantum effects in strongly correlated reaction processes. However, accurately storing the wavefunction for a classical computation of those…

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

We give a survey of the two remarkable analytical problems of quantum information theory. The main part is a detailed report of the recent (partial) solution of the quantum Gaussian optimizers problem which establishes an optimal property…

数学物理 · 物理学 2016-08-04 A. S. Holevo

A convergent iterative procedure is proposed for the calculation of the relative entropy of entanglement of a given bipartite quantum state. When this state turns out to be non-separable the algorithm provides the corresponding optimal…

量子物理 · 物理学 2009-11-07 Jaroslav Rehacek , Zdenek Hradil

We analyse the reconstruction of an unknown pure qubit state. We derive the optimal guess that can be inferred from any set of measurements on N identical copies of the system with the fidelity as a figure of merit. We study in detail the…

量子物理 · 物理学 2007-05-23 E. Bagan , M. Baig , A. Monras , R. Munoz-Tapia

A problem in quantum information theory is to find the experimental setup that maximizes the nonlocality of correlations with respect to some suitable measure such as the violation of Bell inequalities. The latter has however some…

量子物理 · 物理学 2016-08-30 Sacha Schwarz , Andre Stefanov , Stefan Wolf , Alberto Montina

Quantifying genuine entanglement is a crucial task in quantum information theory.In this work, we give an approach of constituting genuine $m$-partite entanglement measures from any bipartite entanglement and any $k$-partite entanglement…

量子物理 · 物理学 2022-04-05 Yu Guo , Yanping Jia , Xinping Li , Lizhong Huang

The study of quantum and classical correlations between subsystems is fundamental to understanding many-body physics. In quantum information theory, the quantum mutual information, $I(A;B)$, is a measure of correlation between the…

量子物理 · 物理学 2026-01-21 Uri Levin , Noa Feldman , Moshe Goldstein

The quantum uncertainty principle stands as a cornerstone and a distinctive feature of quantum mechanics, setting it apart from classical mechanics. We introduce a tripartite quantum-memory-assisted entropic uncertainty relation, and extend…

量子物理 · 物理学 2025-11-11 Cong Xu , Qing-Hua Zhang , Tao Li , Shao-Ming Fei

Based on the problem of quantum data compression in a lossless way, we present here an operational interpretation for the family of quantum R\'enyi entropies. In order to do this, we appeal to a very general quantum encoding scheme that…

量子物理 · 物理学 2017-10-05 G. Bellomo , G. M. Bosyk , F. Holik , S. Zozor

We characterize quantum correlations encoded in a three-flavor oscillating neutrino system by using both plane-wave and wave-packet approach. By means of the Complete Complementarity Relations we study the trade off of predictability, local…

量子物理 · 物理学 2024-01-01 Victor Bittencourt , Massimo Blasone , Silvio De Siena , Cristina Matrella

We show that for tripartite quantum pure states of qubits, all the kinds of entanglement in terms of SLOCC classification are experimentally measurable by simple projective measurements, provided that four copies of the composite quantum…

量子物理 · 物理学 2009-11-13 Chang-shui Yu , He-shan Song

We present a technique for enhancing the estimation of quantum state properties by incorporating approximate prior knowledge about the quantum state of interest. This method involves performing randomized measurements on a quantum processor…