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Quantum coherence characterizes the non-classical feature of a single party system with respect to a local basis. Based on a recently introduced resource framework, coherence can be regarded as a resource and be systematically manipulated…

量子物理 · 物理学 2018-09-26 Yunchao Liu , Qi Zhao , Xiao Yuan

Many quantum information measures can be written as an optimization of the quantum relative entropy between sets of states. For example, the relative entropy of entanglement of a state is the minimum relative entropy to the set of separable…

量子物理 · 物理学 2018-08-09 Hamza Fawzi , Omar Fawzi

We propose a scalable scheme for optical quantum computing using measurement-induced continuous-variable quantum gates in a loop-based architecture. Here, time-bin-encoded quantum information in a single spatial mode is deterministically…

量子物理 · 物理学 2017-09-27 Shuntaro Takeda , Akira Furusawa

The measured relative entropies of quantum states and channels find operational significance in quantum information theory as achievable error rates in hypothesis testing tasks. They are of interest in the near term, as they correspond to…

量子物理 · 物理学 2025-10-21 Zixin Huang , Mark M. Wilde

Superdense Coding is a cornerstone in secure quantum communication, exploiting pre-shared entanglement to encode two classical bits within a single qubit. However, noise and decoherence deteriorate entanglement quality, restricting both…

量子物理 · 物理学 2025-04-18 Syed Emad Uddin Shubha , Tasnuva Farheen

Based on the problem of quantum data compression in a lossless way, we present here an operational interpretation for the family of quantum R\'enyi entropies. In order to do this, we appeal to a very general quantum encoding scheme that…

量子物理 · 物理学 2017-10-05 G. Bellomo , G. M. Bosyk , F. Holik , S. Zozor

This paper proposes a novel model of the two-level scalar quantizer with extended Huffman coding. It is designed for the average bit rate to approach the source entropy as close as possible provided that the signal to quantization noise…

信息论 · 计算机科学 2012-12-21 Zoran Peric , Jelena Nikolic , Lazar Velimirovic , Miomir Stankovic , Danijela Aleksic

This paper describes a new set of block source codes well suited for data compression. These codes are defined by sets of productions rules of the form a.l->b, where a in A represents a value from the source alphabet A and l, b are -small-…

信息论 · 计算机科学 2009-09-29 Herve Jegou , Christine Guillemot

Schemes for topological quantum computation are usually based on the assumption that the system is initially prepared in a specific state. In practice, this state preparation is expected to be challenging as it involves non-topological…

量子物理 · 物理学 2010-05-14 Robert Koenig

We address quantum estimation in situations where one has at disposal data from the measurement of an incomplete set of observables and some a priori information on the state itself. By expressing the a priori information in terms of a bias…

量子物理 · 物理学 2009-11-13 Stefano Olivares , Matteo G. A. Paris

We establish methods for quantum state tomography based on compressed sensing. These methods are specialized for quantum states that are fairly pure, and they offer a significant performance improvement on large quantum systems. In…

量子物理 · 物理学 2015-05-14 David Gross , Yi-Kai Liu , Steven T. Flammia , Stephen Becker , Jens Eisert

It is known that any two-outcome quantum measurement can be decomposed into a continuous stochastic process using a feedback loop. In this article, we characterize which of these decompositions are possible when each iteration of the…

量子物理 · 物理学 2014-09-10 Jan Florjanczyk , Todd A. Brun

We consider universal variable-to-fixed length compression of memoryless sources with a fidelity criterion. We design a dictionary codebook over the reproduction alphabet which is used to parse the source stream. Once a source subsequence…

信息论 · 计算机科学 2022-11-24 Nematollah Iri

The likelihood encoder with a random codebook is demonstrated as an effective tool for source coding. Coupled with a soft covering lemma (associated with channel resolvability), likelihood encoders yield simple achievability proofs for…

信息论 · 计算机科学 2013-08-01 Paul Cuff , Eva C. Song

Random number generators (RNG) based on quantum mechanics are captivating due to their security and unpredictability compared to conventional generators, such as pseudo-random number generators and hardware-random number generators. This…

Acquiring information about an unknown qubit in a superposition of two states is essential in any computation process. Quantum measurement, or sharp measurement, is usually used to read the information contents of that unknown qubit system.…

量子物理 · 物理学 2017-04-26 Ahmed Younes

We put forth new models for universal channel coding. Unlike standard codes which are designed for a specific type of channel, our most general universal code makes communication resilient on every channel, provided the noise level is below…

信息论 · 计算机科学 2022-12-12 Bruno Bauwens , Marius Zimand

We define a large class of quantum sources and prove a quantum analog of the asymptotic equipartition property. Our proof relies on using local measurements on the quantum source to obtain an associated classical source. The classical…

量子物理 · 物理学 2009-10-28 Christopher King , Andrzej Lesniewski

I introduce rate-distortion theory for quantum coding, and derive a lower bound, involving the coherent information, on the rate at which qubits must be used to encode a quantum source with a given maximum level of distortion per source…

量子物理 · 物理学 2007-05-23 Howard Barnum

Consensus is a common method for computing a function of the data distributed among the nodes of a network. Of particular interest is distributed average consensus, whereby the nodes iteratively compute the sample average of the data stored…

信息论 · 计算机科学 2021-12-06 Ryan Pilgrim