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"Bounds on information combining" are entropic inequalities that determine how the information (entropy) of a set of random variables can change when these are combined in certain prescribed ways. Such bounds play an important role in…

量子物理 · 物理学 2019-08-27 Christoph Hirche , David Reeb

After carrying out a protocol for quantum key agreement over a noisy quantum channel, the parties Alice and Bob must process the raw key in order to end up with identical keys about which the adversary has virtually no information. In…

量子物理 · 物理学 2013-01-22 N. Gisin , S. Wolf

A quantum channel physically is a unitary interaction between the information carrying system and an environment, which is initialized in a pure state before the interaction. Conventionally, this state, as also the parameters of the…

量子物理 · 物理学 2016-10-25 Siddharth Karumanchi , Stefano Mancini , Andreas Winter , Dong Yang

We analyze a task in which classical and quantum messages are simultaneously communicated via a noisy quantum channel, assisted with a limited amount of shared entanglement. We derive direct and converse bounds for the one-shot capacity…

量子物理 · 物理学 2023-02-14 Eyuri Wakakuwa , Yoshifumi Nakata

In Shannon information theory the capacity of a memoryless communication channel cannot be increased by the use of feedback. In quantum information theory the no-cloning theorem means that noiseless copying and feedback of quantum…

量子物理 · 物理学 2016-11-17 Garry Bowen

We prove a one-shot "minimax" converse bound for quantum channel coding assisted by positive partial transpose channels between sender and receiver. The bound is similar in spirit to the converse by Polyanskiy, Poor, and Verdu [IEEE Trans.…

量子物理 · 物理学 2015-06-01 Joseph M. Renes

When classical or quantum information is broadcast to separate receivers, there exist codes that encrypt the encoded data such that the receivers cannot recover it when performing local operations and classical communication, but they can…

量子物理 · 物理学 2016-05-31 Cosmo Lupo , Mark M. Wilde , Seth Lloyd

We investigate the classical communication over quantum channels when assisted by no-signaling (NS) and positive-partial-transpose-preserving (PPT) codes, for which both the optimal success probability of a given transmission rate and the…

量子物理 · 物理学 2018-07-16 Xin Wang , Wei Xie , Runyao Duan

The capability of a given channel to communicate information is, a priori, distinct from its capability to distribute shared randomness. In this article we define randomness distribution capacities of quantum channels assisted by forward,…

量子物理 · 物理学 2018-05-22 Raul Garcia-Patron , William Matthews , Andreas Winter

We study quantum channels that vary on time in a deterministic way, that is, they change in an independent but not identical way from one to another use. We derive coding theorems for the classical entanglement assisted and unassisted…

量子物理 · 物理学 2021-02-05 Samad Khabbazi Oskouei , Stefano Mancini

We analyze the quantum binary adder channel, i.e. the quantum generalization of the classical, and well-studied, binary adder channel: in this model qubits rather than classical bits are transmitted. This of course is as special case of the…

量子物理 · 物理学 2007-05-23 Gleb V. Klimovitch , Andreas Winter

In this paper we find, for a class of bipartite quantum states, a nontrivial lower bound on the entropy gain resulting from the action of a tensor product of identity channel with an arbitrary channel. By means of that we then estimate…

量子物理 · 物理学 2015-06-22 Grigori G. Amosov

We derive upper bounds on the rate of transmission of classical information over quantum channels by block codes with a given blocklength and error probability, for both entanglement-assisted and unassisted codes, in terms of a unifying…

量子物理 · 物理学 2016-01-01 William Matthews , Stephanie Wehner

We explore the classical communication over quantum channels with one sender and two receivers, or with two senders and one receiver, First, for the quantum broadcast channel (QBC) and the quantum multi-access channel (QMAC), we study the…

量子物理 · 物理学 2017-12-18 Wei Xie , Xin Wang , Runyao Duan

The maximal amount of information which is reliably transmitted over two uses of general Pauli channels with memory is proven to be achieved by maximally entangled states beyond some memory threshold. In particular, this proves a conjecture…

量子物理 · 物理学 2011-11-09 D. Daems

Unextendibility of quantum states and channels is inextricably linked to the no-cloning theorem of quantum mechanics, it has played an important role in understanding and quantifying entanglement, and more recently it has found applications…

量子物理 · 物理学 2025-12-01 Vishal Singh , Theshani Nuradha , Mark M. Wilde

We present a general model for quantum channels with memory, and show that it is sufficiently general to encompass all causal automata: any quantum process in which outputs up to some time t do not depend on inputs at times t' > t can be…

量子物理 · 物理学 2009-11-11 Dennis Kretschmann , Reinhard F. Werner

The entanglement-assisted classical capacity of a quantum channel is known to provide the formal quantum generalization of Shannon's classical channel capacity theorem, in the sense that it admits a single-letter characterization in terms…

量子物理 · 物理学 2016-05-31 Nilanjana Datta , Marco Tomamichel , Mark M. Wilde

In the present contribution we discuss the role of experimental limitations in the classical limit problem. We studied some simple models and found that Quantum Mechanics does not re-produce classical mechanical predictions, unless we…

量子物理 · 物理学 2020-11-09 Adélcio C. Oliveira , Z. T. Oliveira Junior , N. S. Correia

Thermal attenuator channels model the decoherence of quantum systems interacting with a thermal bath, e.g., a two-level system subject to thermal noise and an electromagnetic signal travelling through a fiber or in free-space. Hence…

量子物理 · 物理学 2018-12-12 Matteo Rosati , Andrea Mari , Vittorio Giovannetti