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Quantum machine learning is emerging as a promising application of quantum computing due to its distinct way of encoding and processing data. It is believed that large-scale quantum machine learning demonstrates substantial advantages over…

量子物理 · 物理学 2025-01-15 Kiwmann Hwang , Hyang-Tag Lim , Yong-Su Kim , Daniel K. Park , Yosep Kim

The guesswork of a classical-quantum channel quantifies the cost incurred in guessing the state transmitted by the channel when only one state can be queried at a time, maximized over any classical pre-processing and minimized over any…

量子物理 · 物理学 2023-12-27 Baasanchimed Avirmed , Kaito Niinomi , Michele Dall'Arno

The amount of information transmissible through a communications channel is determined by the noise characteristics of the channel and by the quantities of available transmission resources. In classical information theory, the amount of…

量子物理 · 物理学 2009-11-10 Mikio Fujiwara , Masahiro Takeoka , Jun Mizuno , Masahide Sasaki

Classical communication capacity of a channel can be enhanced either through a device called a 'quantum switch' or by putting the channel in a quantum superposition. The gains in the two cases, although different, have their origin in the…

量子物理 · 物理学 2020-01-27 Nicolas Loizeau , Alexei Grinbaum

We prove a necessary condition that a quantum channel on a multipartite system may be approximated arbitrarily closely using local operations and classical communication (LOCC). We then extend those arguments to obtain a condition that…

量子物理 · 物理学 2025-12-09 Scott M. Cohen

We consider the problem of correcting the errors incurred from sending classical or quantum information through a noisy quantum environment by schemes using classical information obtained from a measurement on the environment. We give a…

量子物理 · 物理学 2015-06-26 M. Gregoratti , R. F. Werner

We find a tight upper bound for the classical capacity of quantum thermal noise channels that is within $1/\ln 2$ bits of Holevo's lower bound. This lower bound is achievable using unentangled, classical signal states, namely displaced…

量子物理 · 物理学 2013-02-05 Robert Koenig , Graeme Smith

We consider the problem of transmitting classical and quantum information reliably over an entanglement-assisted quantum channel. Our main result is a capacity theorem that gives a three-dimensional achievable rate region. Points in the…

量子物理 · 物理学 2010-08-23 Min-Hsiu Hsieh , Mark M. Wilde

While a positive operator valued measure gives the probabilities in a quantum measurement, an instrument gives both the probabilities and the a posteriori states. By interpreting the instrument as a quantum channel and by using the…

量子物理 · 物理学 2007-05-23 Alberto Barchielli , Giancarlo Lupieri

We present two approaches for transmitting classical information over quantum broadcast channels. The first technique is a quantum generalization of the superposition coding scheme for the classical broadcast channel. We use a quantum…

量子物理 · 物理学 2015-11-12 Ivan Savov , Mark M. Wilde

We study the symmetric-side-channel-assisted private capacity of a quantum channel, for which we provide a single-letter formula. This capacity is additive, convex, and, for degradable channels, equal to the unassisted private capacity.…

量子物理 · 物理学 2008-08-07 Graeme Smith

Quantum capacities are fundamental quantities that are notoriously hard to compute and can exhibit surprising properties such as superadditivity. Thus, a vast amount of literature is devoted to finding tight and computable bounds on these…

量子物理 · 物理学 2023-03-02 Christoph Hirche , Felix Leditzky

Quantum capacity, as the ultimate transmission rate of quantum communication, is characterized by regularized coherent information. In this work, we reformulate approximations of the quantum capacity by operator space norms and give both…

量子物理 · 物理学 2019-11-06 Li Gao , Marius Junge , Nicholas LaRacuente

We discuss the problem of separating consistently the total correlations in a bipartite quantum state into a quantum and a purely classical part. A measure of classical correlations is proposed and its properties are explored.

量子物理 · 物理学 2009-11-07 L. Henderson , V. Vedral

Recently, there have been considerable progresses on the bounds of various quantum channel capacities for bosonic Gaussian channels. Especially, several upper bounds for the classical capacity and the quantum capacity on the bosonic…

量子物理 · 物理学 2020-07-17 Kabgyun Jeong

We consider three different communication tasks for quantum broadcast channels, and we determine the capacity region of a Hadamard broadcast channel for these various tasks. We define a Hadamard broadcast channel to be such that the channel…

量子物理 · 物理学 2017-09-05 Qingle Wang , Siddhartha Das , Mark M. Wilde

In this paper we address the issue of universal or robust communication over quantum channels. Specifically, we consider memoryless communication scenario with channel uncertainty which is an analog of compound channel in classical…

量子物理 · 物理学 2009-11-13 I. Bjelakovic , H. Boche , J. Noetzel

In this work, we study the tradeoffs between the error probabilities of classical-quantum channels and the blocklength $n$ when the transmission rates approach the channel capacity at a rate slower than $1/\sqrt{n}$, a research topic known…

量子物理 · 物理学 2017-05-26 Hao-Chung Cheng , Min-Hsiu Hsieh

We discuss the capacity of quantum channels for information transmission and storage. Quantum channels have dual uses: they can be used to transmit known quantum states which code for classical information, and they can be used in a purely…

量子物理 · 物理学 2008-12-18 C. Adami , N. J. Cerf

We define a new notion of information cost for quantum protocols, and a corresponding notion of quantum information complexity for bipartite quantum channels, and then investigate the properties of such quantities. These are the fully…

量子物理 · 物理学 2014-04-16 Dave Touchette