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We investigate measurements of bipartite ensembles restricted to local operations and classical communication and find a universal Holevo-like upper bound on the locally accessible information. We analyze our bound and exhibit a class of…

量子物理 · 物理学 2009-10-20 Piotr Badziag , Michal Horodecki , Aditi Sen De , Ujjwal Sen

We find a universal lower bound on locally accessible information for arbitrary bipartite quantum ensembles, when one of the parties is two-dimensional. In higher dimensions and in higher number of parties, the lower bound is on accessible…

量子物理 · 物理学 2009-10-20 Aditi Sen De , Ujjwal Sen , Maciej Lewenstein

I derive a universal upper bound on the capacity of any communication channel between two distant systems. The Holevo quantity, and hence the mutual information, is at most of order $E \Delta t / \hbar$, where $E$ is the average energy of…

高能物理 - 理论 · 物理学 2017-10-11 Raphael Bousso

The accessible information acc(E) of an ensemble E is the maximum mutual information between a random variable encoded into quantum states, and the probabilistic outcome of a quantum measurement of the encoding. Accessible information is…

量子物理 · 物理学 2007-12-29 Rahul Jain , Ashwin Nayak

We present a family of easily computable upper bounds for the Holevo quantity of ensemble of quantum states depending on a reference state as a free parameter. These upper bounds are obtained by combining probabilistic and metric…

量子物理 · 物理学 2019-10-18 M. E. Shirokov

Locally indistinguishable states are useful to distribute information among spatially separated parties such that the information is locked. This implies that the parties are not able to extract the information completely via local…

量子物理 · 物理学 2025-08-20 Suchetana Goswami , Saronath Halder

The amount of information that can be accessed via measurement of a quantum system prepared in different states is limited by the Kholevo bound. We present a simple proof of this theorem and its extension to sequential measurements based on…

量子物理 · 物理学 2007-05-23 N. J. Cerf , C. Adami

The Holevo quantity provides an upper bound for the mutual information between the sender of a classical message encoded in quantum carriers and the receiver. Applying the strong sub-additivity of entropy we prove that the Holevo quantity…

量子物理 · 物理学 2015-05-18 Wojciech Roga , Mark Fannes , Karol Zyczkowski

We show how the fundamental entropic inequality proved recently in [arXiv:2408.15306] can be applied to obtain a useful relation for the Holevo quantity of discrete and continuous ensembles of quantum states. This relation gives a tight…

量子物理 · 物理学 2025-06-13 M. E. Shirokov

In this paper, we mainly study the local indistinguishability of multipartite product states. Firstly, we follow the method of Z.-C. Zhang \emph{et al}[Phys. Rev. A 93, 012314(2016)] to give another more concise set of $2n-1$ orthogonal…

量子物理 · 物理学 2016-03-08 Yan-Ling Wang , Mao-Sheng Li , Zhu-Jun Zheng , Shao-Ming Fei

In this paper, we present a new technique to obtain upper bounds on undirected unicast network information capacity. Using this technique, we characterize an upper bound, called partition bound, on the symmetric rate of information flow in…

信息论 · 计算机科学 2020-10-27 Satyajit Thakor , Mohammad Ishtiyaq Qureshi

We consider generalisations of the dense coding protocol with an arbitrary number of senders and either one or two receivers, sharing a multiparty quantum state, and using a noiseless channel. For the case of a single receiver, the capacity…

Holevo information is an upper bound for the accessible classical information of an ensemble of quantum states. In this work, we use Holevo information to investigate the ensemble theory interpretation of quantum gravity. We study the…

高能物理 - 理论 · 物理学 2022-03-02 Xiao-Liang Qi , Zhou Shangnan , Zhenbin Yang

It is shown that local distinguishability of orthogonal mixed states can be completely characterized by local distinguishability of their supports irrespective of entanglement and mixedness of the states. This leads to two kinds of upper…

量子物理 · 物理学 2012-04-20 Somshubhro Bandyopadhyay

In blind compression of quantum states, a sender Alice is given a specimen of a quantum state $\rho$ drawn from a known ensemble (but without knowing what $\rho$ is), and she transmits sufficient quantum data to a receiver Bob so that he…

量子物理 · 物理学 2021-11-29 Anurag Anshu , Debbie Leung , Dave Touchette

In the topic of perfect local distinguishability of orthogonal multipartite quantum states, most results obtained so far pertain to bipartite systems whose subsystems are of specific dimensions. In contrast very few results for bipartite…

量子物理 · 物理学 2016-03-09 Tanmay Singal

Quantum theory imposes fundamental limitations to the amount of information that can be carried by any quantum system. On the one hand, Holevo bound rules out the possibility to encode more information in a quantum system than in its…

量子物理 · 物理学 2015-07-29 Michele Dall'Arno

We show that the recently discovered universal upper bound on the thermal conductance of a single channel comprising particles obeying arbitrary fractional statistics is in fact a consequence of a more general universal upper bound,…

量子物理 · 物理学 2009-11-06 Miles P. Blencowe , Vincenzo Vitelli

We consider the unambiguous discrimination of multipartite quantum states and provide an upper bound for the maximum success probability of optimal local discrimination. We also provide a necessary and sufficient condition to realize the…

量子物理 · 物理学 2023-01-10 Donghoon Ha , Jeong San Kim

Our everyday reality is characterized by objective information$\unicode{x2013}$information that is selected and amplified by the environment that interacts with quantum systems. Many observers can accurately infer that information…

量子物理 · 物理学 2022-06-08 Michael Zwolak
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