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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…

High Energy Physics - Theory · Physics 2017-10-11 Raphael Bousso

We prove a new version of the Holevo bound employing the Hilbert-Schmidt norm instead of the Kullback-Leibler divergence. Suppose Alice is sending classical information to Bob using a quantum channel, while Bob is performing some projective…

Quantum Physics · Physics 2017-11-27 Boaz Tamir , Eliahu Cohen

We investigate bounds in the transmission of classical information through quantum systems. Our focus lies in the generalized Holevo theorem, which provides a single-letter Holevo-like inequality from arbitrary quantum distance measures.…

We provide lower and upper bounds on the information transmission capacity of one single use of a classical-quantum channel. The lower bound is expressed in terms of the Hoeffding capacity, that we define similarly to the Holevo capacity,…

Quantum Physics · Physics 2009-07-24 Milan Mosonyi , Nilanjana Datta

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…

Quantum Physics · Physics 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,…

Quantum Physics · Physics 2009-11-06 Miles P. Blencowe , Vincenzo Vitelli

Werner states have a host of interesting properties, which often serve to illuminate the unusual properties of quantum information. Starting from these states, one may define a family of quantum channels, known as the Holevo-Werner…

Quantum Physics · Physics 2018-11-15 Thomas P. W. Cope , Kenneth Goodenough , Stefano Pirandola

Strong and general entropic and geometric Heisenberg limits are obtained, for estimates of multiparameter unitary displacements in quantum metrology, such as the estimation of a magnetic field from the induced rotation of a probe state in…

Quantum Physics · Physics 2018-08-03 Michael J. W. Hall

The Holevo bound is a bound on the mutual information for a given quantum encoding. In 1996 Schumacher, Westmoreland and Wootters [Schumacher, Westmoreland and Wootters, Phys. Rev. Lett. 76, 3452 (1996)] derived a bound which reduces to the…

Quantum Physics · Physics 2015-06-26 Kurt Jacobs

We present a new decoding procedure to transmit classical information in a quantum channel which, saturating asymptotically the Holevo bound, achieves the optimal rate of the communication line. Differently from previous proposals, it is…

Quantum Physics · Physics 2013-05-30 Vittorio Giovannetti , Seth Lloyd , Lorenzo Maccone

We investigate how special relativity influences the transmission of classical information through quantum channels by evaluating the Holevo bound when the sender and the receiver are in (relativistic) relative motion. By using the spin…

Quantum Physics · Physics 2016-02-24 Andre G. S. Landulfo , Adriano C. Torres

Landauer's principle states that the erasure of information generates a corresponding amount of entropy in the environment. We show that Landauer's principle provides an intuitive basis for Holevo bound on the classical capacity of a…

Quantum Physics · Physics 2009-10-31 Martin B. Plenio

We pose a problem called ``broadcasting Holevo-information'': given an unknown state taken from an ensemble, the task is to generate a bipartite state transfering as much Holevo-information to each copy as possible. We argue that upper…

Quantum Physics · Physics 2013-05-29 Dominik Janzing , Bastian Steudel

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…

Quantum Physics · Physics 2022-06-08 Michael Zwolak

Quantum communication holds the potential to revolutionize information transmission by enabling secure data exchange that exceeds the limits of classical systems. One of the key performance metrics in quantum information theory, namely the…

Quantum Physics · Physics 2026-02-20 Hong Niu , Chau Yuen , Alexei Ashikhmin , Lajos Hanzo

We investigate the quantitative relationship between operator spreading and classical information propagation in quantum systems. Focusing on a bi-partite quantum channel, we derive new upper and lower bounds on the Holevo capacity, a…

Quantum Physics · Physics 2025-05-14 Cheng Shang , Zhi-Guang Lu , Hayato Kinkawa , Tomotaka Kuwahara

General probabilistic theories are designed to provide operationally the most general probabilistic models including both classical and quantum theories. In this letter, we introduce a systematic method to construct a series of entropies,…

Quantum Physics · Physics 2016-10-26 Gen Kimura , Junji Ishiguro , Makoto Fukui

In this correspondence we present a new proof of Holevo's coding theorem for transmitting classical information through quantum channels, and its strong converse. The technique is largely inspired by Wolfowitz's combinatorial approach using…

Quantum Physics · Physics 2014-09-10 Andreas Winter

Can quantum communication be more efficient than its classical counterpart? Holevo's theorem rules out the possibility of communicating more than n bits of classical information by the transmission of n quantum bits --- unless the two…

Quantum Physics · Physics 2007-05-23 Gilles Brassard

The sum of the Holevo quantity (that bounds the capacity of quantum channels to transmit classical information about an observable) and the quantum discord (a measure of the quantumness of correlations of that observable) yields an…

Quantum Physics · Physics 2013-08-14 Michael Zwolak , Wojciech H. Zurek
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