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A lower bound on the probability of decoding error of quantum communication channel is presented. The strong converse to the quantum channel coding theorem is shown immediately from the lower bound. It is the same as Arimoto's method exept…

量子物理 · 物理学 2016-11-17 Tomohiro Ogawa , Hiroshi Nagaoka

We consider the sequential quantum channel discrimination problem using adaptive and non-adaptive strategies. In this setting the number of uses of the underlying quantum channel is not fixed but a random variable that is either bounded in…

信息论 · 计算机科学 2022-10-21 Yonglong Li , Christoph Hirche , Marco Tomamichel

We show how entanglement shared between encoder and decoder can simplify the theory of quantum error correction. The entanglement-assisted quantum codes we describe do not require the dual-containing constraint necessary for standard…

量子物理 · 物理学 2007-05-23 Todd Brun , Igor Devetak , Min-Hsiu Hsieh

Rate-distortion theory provides bounds for compressing data produced by an information source to a specified encoding rate that is strictly less than the source's entropy. This necessarily entails some loss, or distortion, between the…

量子物理 · 物理学 2019-02-06 Sina Salek , Daniela Cadamuro , Philipp Kammerlander , Karoline Wiesner

We propose quantum dense coding protocol for optical images. This protocol extends the earlier proposed dense coding scheme for continuous variables [S.L.Braunstein and H.J.Kimble, Phys.Rev.A 61, 042302 (2000)] to an essentially multimode…

量子物理 · 物理学 2013-12-24 T. Yu. Golubeva , Yu. M. Golubev , I. V. Sokolov , M. I. Kolobov

Quantum capacity, as the key figure of merit for a given quantum channel, upper bounds the channel's ability in transmitting quantum information. Identifying different type of channels, evaluating the corresponding quantum capacity and…

量子物理 · 物理学 2023-03-08 Changchun Zhong , Changhun Oh , Liang Jiang

Quantum capacity quantifies the amount of quantum information that can be transmitted by a quantum channel with an arbitrary small probability of error. Mathematically, the quantum capacity is given by an asymptotic formula involving the…

量子物理 · 物理学 2025-12-30 Zhen Wu , Zhihao Ma , James Fullwood

We extend covert communication to the quantum regime by showing that covert quantum communication is possible over optical channels with noise arising either from the environment or from the sender's lab. In particular, we show that…

量子物理 · 物理学 2016-12-21 Juan Miguel Arrazola , Valerio Scarani

The goal of demonstrating a quantum advantage with currently available experimental systems is of utmost importance in quantum information science. While this remains elusive for quantum computation, the field of communication complexity…

量子物理 · 物理学 2019-09-16 Niraj Kumar , Iordanis Kerenidis , Eleni Diamanti

Decoders that provide an estimate of the probability of a logical failure conditioned on the error syndrome ("soft-output decoders") can reduce the overhead cost of fault-tolerant quantum memory and computation. In this work, we construct…

量子物理 · 物理学 2024-06-04 Nadine Meister , Christopher A. Pattison , John Preskill

We derive necessary and sufficient conditions for the approximate correctability of a quantum code, generalizing the Knill-Laflamme conditions for exact error correction. Our measure of success of the recovery operation is the worst-case…

量子物理 · 物理学 2010-03-25 Cédric Bény , Ognyan Oreshkov

This research note suggests a new way to realize a high speed direct encryption based on quantum detection theory. The conventional cipher is designed by a mathematical algorithm and its security is evaluated by the complexity of the…

量子物理 · 物理学 2015-11-03 Osamu Hirota

Encoding in a high-dimensional Hilbert space improves noise resilience in quantum information processing. This approach, however, may result in cross-mode coupling and detection complexities, thereby reducing quantum cryptography…

量子物理 · 物理学 2025-10-30 Amit Kam , Kfir Sulimany , Shai Tsesses , Uzi Pereg

This paper finds new tight finite-blocklength bounds for the best achievable lossy joint source-channel code rate, and demonstrates that joint source-channel code design brings considerable performance advantage over a separate one in the…

信息论 · 计算机科学 2014-02-05 Victoria Kostina , Sergio Verdú

By developing one-shot mutual covering lemmas, we derive a one-shot achievability bound for broadcast with a common message which recovers Marton's inner bound (with three auxiliary random variables) in the i.i.d.~case. The encoder employed…

信息论 · 计算机科学 2015-12-01 Jingbo Liu , Paul Cuff , Sergio Verdu

In the current thesis we first talk about the six-qubit quantum error-correcting code and show its connections to entanglement-assisted error-correcting coding theory and then to subsystem codes. This code bridges the gap between the…

量子物理 · 物理学 2010-08-04 Bilal A. Shaw

Quantum error correction is necessary to perform large-scale quantum computations in the presence of noise and decoherence. As a result, several aspects of quantum error correction have already been explored. These have been primarily…

量子物理 · 物理学 2021-08-05 Ariel Shlosberg , Anthony M. Polloreno , Graeme Smith

Designing quantum error correcting codes that promise a high error threshold, low resource overhead and efficient decoding algorithms is crucial to achieve large-scale fault-tolerant quantum computation. The concatenated quantum Hamming…

量子物理 · 物理学 2026-05-12 Menglong Fang , Daiqin Su

Deep learning has been recently applied to physical layer processing in digital communication systems in order to improve end-to-end performance. In this work, we introduce a novel deep learning solution for soft bit quantization across…

信号处理 · 电气工程与系统科学 2021-10-20 Marius Arvinte , Jonathan I. Tamir

In this paper, we show an interesting connection between a quantum sampling technique and quantum uncertainty. Namely, we use the quantum sampling technique, introduced by Bouman and Fehr, to derive a novel entropic uncertainty relation…

量子物理 · 物理学 2021-02-05 Walter O. Krawec