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From the perspective of quantum information theory, a system so simple as one restricted to just two nonorthogonal states can be surprisingly rich in physics. In this paper, we explore the extent of this statement through a review of three…

量子物理 · 物理学 2007-05-23 Christopher A. Fuchs

The quantum no-broadcasting theorem states that it is impossible to produce perfect copies of an arbitrary quantum state, even if the copies are allowed to be correlated. Here we show that, although quantum broadcasting cannot be achieved…

量子物理 · 物理学 2024-03-26 Arthur J. Parzygnat , James Fullwood , Francesco Buscemi , Giulio Chiribella

A Holevo measure is used to discuss how much information about a given POVM on system $a$ is present in another system $b$, and how this influences the presence or absence of information about a different POVM on $a$ in a third system $c$.…

量子物理 · 物理学 2013-05-29 Patrick J. Coles , Li Yu , Vlad Gheorghiu , Robert B. Griffiths

We consider probabilistic theories in which the most elementary system, a two-dimensional system, contains one bit of information. The bit is assumed to be contained in any complete set of mutually complementary measurements. The…

量子物理 · 物理学 2009-07-10 Caslav Brukner , Anton Zeilinger

The brain is composed of electrically excitable neuronal networks regulated by the activity of voltage-gated ion channels. Further portraying the molecular composition of the brain, however, will not reveal anything remotely reminiscent of…

神经元与认知 · 定量生物学 2020-12-16 Danko D. Georgiev

We propose a new measure of quantum entanglement. Our measure is defined in terms of conditional information transmission for a Quantum Bayesian Net. We show that our measure is identically equal to the Entanglement of Formation in the case…

量子物理 · 物理学 2007-05-23 Robert R. Tucci

Quantum information cannot be broadcast -- an intrinsic limitation imposed by quantum mechanics. However, recent advances in virtual operations offer new insights into the no-broadcasting theorem. Here, we focus on the practical utility and…

量子物理 · 物理学 2025-09-30 Yunlong Xiao , Xiangjing Liu , Zhenhuan Liu

A quantum network requires information transfer between distant quantum computers, which would enable distributed quantum information processing and quantum communication. One model for such a network is based on the probabilistic…

量子物理 · 物理学 2015-06-12 A. Stute , B. Casabone , B. Brandstätter , K. Friebe , T. E. Northup , R. Blatt

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

The sum of the Holevo quantity (that bounds the capacity of quantum channels to transmit classical information about an observable) and the quantum discord (a measure of the quantumness of correlations of that observable) yields an…

量子物理 · 物理学 2013-08-14 Michael Zwolak , Wojciech H. Zurek

We prove new quantitative limitations on any approximate simultaneous cloning or broadcasting of mixed states. The results are based on information-theoretic (entropic) considerations and generalize the well known no-cloning and…

量子物理 · 物理学 2017-07-12 Marius Lemm , Mark M. Wilde

Irreversibility in quantum measurements is considered from the point of quantum information theory. For that purpose the information transfer between the measured object S and measuring system O is analyzed. It's found that due to the…

量子物理 · 物理学 2012-05-29 S. N. Mayburov

The task of determining whether a given quantum channel has positive capacity to transmit quantum information is a fundamental open problem in quantum information theory. In general, the coherent information needs to be computed for an…

量子物理 · 物理学 2022-08-17 Satvik Singh , Nilanjana Datta

Thermodynamic entropy is not an entirely satisfactory measure of information of a quantum state. This entropy for an unknown pure state is zero, although repeated measurements on copies of such a pure state do communicate information. In…

量子物理 · 物理学 2015-06-26 Subhash Kak

Incompatibility is a feature of quantum theory that sets it apart from classical theory, and the inability to clone an unknown quantum state is one of the most fundamental instances. The no-hiding theorem is another such instance that…

量子物理 · 物理学 2025-08-12 Matthew Girling , Cristina Cirstoiu , David Jennings

Quantum mechanics put restriction on performing some task which we can do classically. One such restriction is that we cannot copy an arbitrary quantum state. This is known as No-cloning theorem. Although quantum mechanics forbid us to…

量子物理 · 物理学 2009-02-11 Satyabrata Adhikari

Copying information is an elementary operation in classical information processing. However, copying seems rather different in the quantum regime. Since the discovery of the universal quantum cloning machine, much has been found from the…

量子物理 · 物理学 2007-05-23 K. Maruyama , P. L. Knight

Quantum mechanics, information theory, and relativity theory are the basic foundations of theoretical physics. The acquisition of information from a quantum system is the interface of classical and quantum physics. Essential tools for its…

量子物理 · 物理学 2011-04-29 Asher Peres , Daniel R. Terno

The no-quantum broadcasting theorem which is a weaker version of the nocloning theorem restricts us from broadcasting completely unknown quantum information to multiple users. However, if the sender is aware of the quantum information…

量子物理 · 物理学 2023-05-02 Satish Kumar , Anirban Pathak

Quantum coherence (QCh) is considered to be a key ingredient in quantum resource theories and also plays a pivotal role in the design and implementation of various information processing tasks. Consequently, it becomes important for us to…

量子物理 · 物理学 2017-11-22 Indranil Chakrabarty , Udit Kamal Sharma , Manish Kumar Shukla