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Optimally encoding classical information in a quantum system is one of the oldest and most fundamental challenges of quantum information theory. Holevo's bound places a hard upper limit on such encodings, while the…

Quantum Physics · Physics 2020-05-28 Dawei Ding , Hrant Gharibyan , Patrick Hayden , Michael Walter

Quantum information scrambling has attracted much attention amid the effort to reconcile the conflict between quantum-mechanical unitarity and the thermalizaiton-irreversibility in many-body systems. Here we propose an unconventional…

Quantum Physics · Physics 2019-09-19 Xiaopeng Li , Guanyu Zhu , Muxin Han , Xin Wang

We study the quality of service in quantum channels. We regard the quantum channel as a queueing system, and present queueing analysis of both the classical information transmission and quantum information transmission in the quantum…

Quantum Physics · Physics 2018-07-13 Fengyou Sun

We give the trade-off curve showing the capacity of a quantum channel as a function of the amount of entanglement used by the sender and receiver for transmitting information. The endpoints of this curve are given by the…

Quantum Physics · Physics 2007-05-23 Peter W. Shor

The dynamical spreading of quantum information through a many-body system, typically called scrambling, is a complex process that has proven to be essential to describe many properties of out-of-equilibrium quantum systems. Scrambling can,…

Quantum Physics · Physics 2024-03-22 Philip Daniel Blocher , Karthik Chinni , Sivaprasad Omanakuttan , Pablo M. Poggi

We study quantum channels that are close to another channel with weakly additive Holevo information and derive upper bounds on their classical capacity. Examples of channels with weakly additive Holevo information are entanglement-breaking…

Quantum Physics · Physics 2020-08-25 Felix Leditzky , Eneet Kaur , Nilanjana Datta , Mark M. Wilde

Pinning down a precise understanding of information flow within physical interactions remains a central concern to fields like stochastic thermodynamics and quantum information science. In both spheres a careful accounting of bits (or…

Statistical Mechanics · Physics 2026-01-15 Miles Miller-Dickson , Christopher Rose

We study measures of quantum information when the space spanned by the set of accessible observables is not closed under products, i.e., we consider systems where an observer may be able to measure the expectation values of two operators,…

High Energy Physics - Theory · Physics 2018-08-15 Sudip Ghosh , Suvrat Raju

Pre-shared entanglement can significantly boost communication rates in the regime of high thermal noise, and a low-brightness transmitter. In this regime, the ratio between the entanglement-assisted capacity and the Holevo capacity, the…

Quantum Physics · Physics 2022-01-03 Saikat Guha , Quntao Zhuang , Boulat Bash

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…

Quantum Physics · Physics 2007-05-23 N. J. Cerf , C. Adami

Determining whether a noisy quantum channel can be used to reliably transmit quantum information at a non-zero rate is a challenging problem in quantum information theory. This is because it requires computation of the channel's coherent…

Quantum Physics · Physics 2024-10-24 Satvik Singh , Nilanjana Datta

We propose an iterative method for approximating the capacity of classical-quantum channels with a discrete input alphabet and a finite dimensional output, possibly under additional constraints on the input distribution. Based on duality of…

Quantum Physics · Physics 2016-01-22 David Sutter , Tobias Sutter , Peyman Mohajerin Esfahani , Renato Renner

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…

High Energy Physics - Theory · Physics 2022-03-02 Xiao-Liang Qi , Zhou Shangnan , Zhenbin Yang

We use a novel form of quantum conditional probability to define new measures of quantum information in a dynamical context. We explore relationships between our new quantities and standard measures of quantum information, such as von…

Quantum Physics · Physics 2022-12-09 Jacob A. Barandes , David Kagan

The aim of these lectures is to investigate the transfer of information occurring in course of quantum interactions. In particular, I shall explore circumstances in which such an information transfer with the quantum environment of the…

Quantum Physics · Physics 2007-05-23 Wojciech H. Zurek

We discuss controversial results for the statistics of charge transport through coherent conductors. Two distribution functions for the charge transmitted was obtained previously, first by L.Levitov and G.Lesovik, [JETP Letters Vol.55 p.555…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 G. B. Lesovik , N. M. Chtchelkatchev

We introduce a quantity called the free mutual information (FMI), adapted from concepts in free probability theory, as a new physical measure of quantum chaos. This quantity captures the spreading of a time-evolved operator in the space of…

Quantum Physics · Physics 2025-09-18 Shreya Vardhan , Jinzhao Wang

The information capacities and ``distillability'' of a quantum channel are studied in the presence of auxiliary resources. These include prior entanglement shared between the sender and receiver and free classical bits of forward and…

Quantum Physics · Physics 2009-11-10 Vittorio Giovannetti

Entanglement and quantum information lie at the root of quantum theory. These remarkable resources are generally believed to diminish when systems carrying them interact with their environment. By contrast, we find that engaging a system…

Quantum Physics · Physics 2025-05-28 Vikesh Siddhu

We study the scrambling of local quantum information in chaotic many-body systems in the presence of a locally conserved quantity like charge or energy that moves diffusively. The interplay between conservation laws and scrambling sheds…

Statistical Mechanics · Physics 2018-09-13 Vedika Khemani , Ashvin Vishwanath , D. A. Huse