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We derive the transformation for the optimal universal quantum anti-cloner which produces two anti-parallel outputs for a single input state. The fidelity is shown to be 2/3 which is same as the measurement fidelity. We consider a…

量子物理 · 物理学 2007-05-23 David D. Song , Lucien Hardy

Effective classicality of a property of a quantum system can be defined using redundancy of its record in the environment. This allows quantum physics to approximate the situation encountered in the classical world: The information about a…

量子物理 · 物理学 2007-05-23 W. H. Zurek

A system of unitary transformations providing two optimal copies of an arbitrary input cubit is obtained. An algorithm based on classical Boolean algebra and allowing one to find any unitary transformation realized by the quantum CNOT…

量子物理 · 物理学 2009-11-07 V. N. Dumachev , S. V. Orlov

Transmission of classical information using quantum objects such as polarized photons is studied. The classical (Shannon) channel capacity and its relation to quantum (von Neumann) channel capacity is investigated for various receiver…

量子物理 · 物理学 2007-05-23 Göran Einarsson

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

We develop a theory of the algorithmic information in bits contained in an individual pure quantum state. This extends classical Kolmogorov complexity to the quantum domain retaining classical descriptions. Quantum Kolmogorov complexity…

量子物理 · 物理学 2016-11-17 Paul M. B. Vitanyi

Quantum information processing is the use of inherently quantum mechanical phenomena to perform information processing tasks that cannot be achieved using conventional classical information technologies. One famous example is quantum…

量子物理 · 物理学 2007-05-23 J. A. Jones

The impossibility of perfectly copying (or cloning) an arbitrary quantum state is one of the basic rules governing the physics of quantum systems. The processes that perform the optimal approximate cloning have been found in many cases.…

量子物理 · 物理学 2009-11-11 Valerio Scarani , Sofyan Iblisdir , Nicolas Gisin , Antonio Acin

In analogy of classical Kolmogorov complexity we develop a theory of the algorithmic information in bits contained in any one of continuously many pure quantum states: quantum Kolmogorov complexity. Classical Kolmogorov complexity coincides…

量子物理 · 物理学 2007-05-23 Paul Vitanyi

The statistical state of any (classical or quantum) system with non-trivial time evolution can be interpreted as the pointer of a clock. The quality of such a clock is given by the statistical distinguishability of its states at different…

量子物理 · 物理学 2007-05-23 Dominik Janzing , Thomas Beth

We consider the hypothetical quantum network case where Alice wishes to transmit one qubit of information (specifically a pure quantum state) to $M$ parties, where $M$ is some large number. The remote receivers locally perform single qubit…

量子物理 · 物理学 2025-09-16 Elijah Pelofske

In this paper, we address the problem how to represent a classical data distribution in a quantum system. The proposed method is to learn quantum Hamiltonian that is such that its ground state approximates the given classical distribution.…

量子物理 · 物理学 2020-01-17 Hilbert J Kappen

We investigate the correlations of initially separable probability distributions in a globally pure bipartite system with two degrees of freedom for classical and quantum systems. A classical version of the quantum linear mutual information…

量子物理 · 物理学 2009-11-10 R. M. Angelo , S. A. Vitiello , M. A. M. de Aguiar , K. Furuya

Quantum state discrimination is a fundamental information processing task that serves as a building block for numerous applications and provides implications at the foundational level. In this work, we consider minimum error discrimination…

量子物理 · 物理学 2026-04-30 Tim Achenbach , Leevi Leppäjärvi , Hanwool Lee , Teiko Heinosaari

This paper considers the problem of distinguishing between classical and quantum domains in macroscopic phenomena using tests based on probability and it presents a condition on the ratios of the outcomes being the same (Ps) to being…

量子物理 · 物理学 2014-02-11 Subhash Kak

We describe some applications of quantum information theory to the analysis of quantum limits on measurement sensitivity. A measurement of a weak force acting on a quantum system is a determination of a classical parameter appearing in the…

量子物理 · 物理学 2012-03-28 Andrew M. Childs , John Preskill , Joseph Renes

For many-particle systems, quantum information in base n can be defined by partitioning the set of states according to the outcomes of n-ary (joint) observables. Thereby, k particles can carry k nits. With regards to the randomness of…

量子物理 · 物理学 2015-06-26 Karl Svozil

Quantum information refers to the distinctive information-processing properties of quantum systems, which arise when information is stored in or retrieved from nonorthogonal quantum states. More information is required to prepare an…

量子物理 · 物理学 2007-05-23 Carlton M. Caves , Christopher A. Fuchs

The impossibility of perfect cloning and state estimation are two fundamental results in Quantum Mechanics. It has been conjectured that quantum cloning becomes equivalent to state estimation in the asymptotic regime where the number of…

量子物理 · 物理学 2010-09-23 Joonwoo Bae , Antonio Acin

The informational power of a quantum measurement is the maximum amount of classical information that the measurement can extract from any ensemble of quantum states. We discuss its main properties. Informational power is an additive…

量子物理 · 物理学 2015-02-23 Michele Dall'Arno , Giacomo Mauro D'Ariano , Massimiliano F. Sacchi