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The concept of entanglement is at the core of the theory of quantum information. In this paper a criterion for unentanglement of quantum states is proposed and proved. This criterion is natural, practical and easy to check.

量子物理 · 物理学 2023-12-21 Xufeng Liu

We develop a "qubit information logic" (QIL) theory that uses the "qubit information equation" (QIE) and logic to describe the correlation behaviors of multi-qubit entanglement. Introducing the "global information status" and "local…

量子物理 · 物理学 2024-02-27 Zixuan Hu , Sabre Kais

We generalize the Shannon's information theory in a nonadditive way by focusing on the source coding theorem. The nonadditive information content we adopted is consistent with the concept of the form invariance structure of the nonextensive…

统计力学 · 物理学 2009-10-31 Takuya Yamano

We show that there exist bipartite quantum states which contain large hidden classical correlation that can be unlocked by a disproportionately small amount of classical communication. In particular, there are $(2n+1)$-qubit states for…

量子物理 · 物理学 2009-11-10 David DiVincenzo , Michal Horodecki , Debbie Leung , John Smolin , Barbara Terhal

When an observer wants to identify a quantum state, which is known to be one of a given set of non-orthogonal states, the act of observation causes a disturbance to that state. We investigate the tradeoff between the information gain and…

量子物理 · 物理学 2009-10-28 Christopher A. Fuchs , Asher Peres

We summarise a recent reconstruction of the quantum theory of qubits from rules constraining an observer's acquisition of information about physical systems. This review of [arXiv:1412.8323, arXiv:1511.01130] is accessible and fairly…

量子物理 · 物理学 2017-03-06 Philipp A Hoehn

Geometric relations between separable and entangled two-qubit and two-qutrit quantum information states are studied. To characterize entanglement of two qubit states, we establish a relation between reduced density matrix and the…

量子物理 · 物理学 2022-07-11 Oktay K Pashaev

The measurement of an informative observable strongly disturbs a quantum state. We examine the so-called information-disturbance relation by introducing order relations based on the state distinction power of an observable and a variety of…

量子物理 · 物理学 2019-09-20 Ikko Hamamura , Takayuki Miyadera

Over the past decade quantum information theory has developed into a vigorous field of research despite the fact that quantum information, as a precise concept, is undefined. Indeed the very idea of viewing quantum states as carriers of…

量子物理 · 物理学 2007-05-23 Richard Jozsa

An extended coherent state for describing a system of two interacting quanum objects is considered. A modified perturbation theory based on using the extended coherent states is formulated.

量子物理 · 物理学 2009-11-06 G. Filippov

It is sometimes pointed out as a curiosity that the state space of quantum two-level systems, i.e. the qubit, and actual physical space are both three-dimensional and Euclidean. In this paper, we suggest an information-theoretic analysis of…

量子物理 · 物理学 2013-05-30 Markus P. Mueller , Lluis Masanes

Spreading information in physical systems is a common phenomenon. However, when the information is quantum in nature, tracking, describing, and quantifying the information is a challenging task. Quantum information scrambling defines the…

量子物理 · 物理学 2024-06-24 Suprabhat Sinha

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

We propose an extended quantum theory, in which the number K of parameters necessary to characterize a quantum state behaves as fourth power of the number N of distinguishable states. As the simplex of classical N-point probability…

量子物理 · 物理学 2009-11-13 Karol Zyczkowski

We propose a classical to quantum information encoding system using non--orthogonal states and apply it to the problem of searching an element in a quantum list. We show that the proposed encoding scheme leads to an exponential gain in…

量子物理 · 物理学 2014-02-17 T. Douce , A. Ketterer , A. Keller , T. Coudreau , P. Milman

Problem of classification of all the set of entangled states is considered. Invariance of entangled states relative to transformations from a group of symmetry of qubit space leads to classification of all states of the system through…

量子物理 · 物理学 2007-05-23 Constantin V. Usenko

We investigate the information provided about a specified distributed apparatus of n units in the measurement of a quantum state. It is shown that, in contrast to such measurement of a classical state, which is bounded by log (n+1) bits,…

量子物理 · 物理学 2014-11-18 Subhash Kak

Li and Luo [Phys. Rev. A 78 (2008), 024303] discovered a remarkable relation between discord and entanglement. It establishes that all separable states can be obtained via reduction of a classicaly-correlated state "living" in a space of…

量子物理 · 物理学 2015-05-27 Guido Bellomo , Angelo Plastino , Angel R. Plastino

We study the entanglement properties of a class of $N$ qubit quantum states that are generated in arrays of qubits with an Ising-type interaction. These states contain a large amount of entanglement as given by their Schmidt measure. They…

量子物理 · 物理学 2009-11-06 Hans J. Briegel , Robert Raussendorf

A special feature of the ground state in a topologically ordered phase is the existence of large scale correlations depending only on the topology of the regions. These correlations can be detected by the topological entanglement entropy or…

量子物理 · 物理学 2016-02-15 Kohtaro Kato , Fabian Furrer , Mio murao