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While a positive operator valued measure gives the probabilities in a quantum measurement, an instrument gives both the probabilities and the a posteriori states. By interpreting the instrument as a quantum channel and by using the…

量子物理 · 物理学 2007-05-23 Alberto Barchielli , Giancarlo Lupieri

The information carrying capacity of the d-dimensional depolarizing channel is computed. It is shown that this capacity can be achieved by encoding messages as products of pure states belonging to an orthonormal basis of the state space,…

量子物理 · 物理学 2007-05-23 C. King

Since a quantum measurement generally disturbs the state of a quantum system, one might think that it should not be possible for a sender and receiver to communicate reliably when the receiver performs a large number of sequential…

量子物理 · 物理学 2013-07-12 Mark M. Wilde

Polarization of light is one of the fundamental concepts in optics. There are many ways to measure and characterise this feature of light but at the fundamental level it is quantum mechanics that imposes ultimate limits to such…

量子物理 · 物理学 2021-12-13 Marcin Jarzyna

We present a dynamic approach to study the quantum discord and classical correlation. By local filtering operation, the evaluation of quantum discord is closely related to quantum channel and channel capacity. As a consequence, the…

量子物理 · 物理学 2011-07-25 Mingjun Shi , Fengjian Jiang , Jiangfeng Du

Descriptions of classical mechanics in Hilbert space go back to the work of Koopman and von Neumann in the 1930s. Decades later, van Hove derived a unitary representation of the group of contact transformations which recently has been used…

While a positive operator valued measure gives the probabilities in a quantum measurement, an instrument gives both the probabilities and the a posteriori states. By interpreting the instrument as a quantum channel and by using the typical…

量子物理 · 物理学 2009-11-10 Alberto Barchielli , Giancarlo Lupieri

The Holevo bound is a bound on the mutual information for a given quantum encoding. In 1996 Schumacher, Westmoreland and Wootters [Schumacher, Westmoreland and Wootters, Phys. Rev. Lett. 76, 3452 (1996)] derived a bound which reduces to the…

量子物理 · 物理学 2015-06-26 Kurt Jacobs

We provide lower and upper bounds on the information transmission capacity of one single use of a classical-quantum channel. The lower bound is expressed in terms of the Hoeffding capacity, that we define similarly to the Holevo capacity,…

量子物理 · 物理学 2009-07-24 Milan Mosonyi , Nilanjana Datta

We show an experimental procedure to certify the classical capacity for noisy qubit channels. The method makes use of a fixed bipartite entangled state, where the system qubit is sent to the channel input and the set of local measurements…

The capacity of noisy quantum channels characterizes the highest rate at which information can be reliably transmitted and it is therefore of practical as well as fundamental importance. Capacities of classical channels are computed using…

量子物理 · 物理学 2021-07-02 Navneeth Ramakrishnan , Raban Iten , Volkher B. Scholz , Mario Berta

Quantum measurements are ubiquitous in quantum information processing tasks, but errors can render their outputs unreliable. Here, we present a scheme that implements a robust projective measurement through measuring code-inspired…

量子物理 · 物理学 2024-11-11 Yingkai Ouyang

Quantum communications using continuous variables are quite mature experimental techniques and the relevant theories have been extensively investigated with various methods. In this paper, we study the continuous variable quantum channels…

量子物理 · 物理学 2009-11-11 Tao Qin , Meisheng Zhao , Yongde Zhang

The quantum states of two laser pulses---coherent states---are never mutually orthogonal, making perfect discrimination impossible. Even so, coherent states can achieve the ultimate quantum limit for capacity of a classical channel, the…

量子物理 · 物理学 2015-03-19 Jian Chen , Jonathan L. Habif , Zachary Dutton , Richard Lazarus , Saikat Guha

In [1], it is shown that the simultaneous identification capacity region for the discrete, memoryless, classical-quantum multiple access channel is equal to the transmission capacity region for codes using a deterministic encoding scheme.…

量子物理 · 物理学 2019-03-11 Stephen Diadamo , Holger Boche

In this paper we consider the classical capacity problem for Gaussian measurement channels without imposing any kind of threshold condition. We prove Gaussianity of the average state of the optimal ensemble in general and discuss the…

量子物理 · 物理学 2022-04-04 A. S. Holevo

The capacity of a classical-quantum channel (or in other words the classical capacity of a quantum channel) is considered in the most general setting, where no structural assumptions such as the stationary memoryless property are made on a…

量子物理 · 物理学 2016-11-17 Masahito Hayashi , Hiroshi Nagaoka

The Holevo bound is a keystone in many applications of quantum information theory. We propose "weak maximal Holevo quantity" with weak measurements as the generalization of the standard Holevo quantity which is defined as the optimal…

量子物理 · 物理学 2015-06-23 Yao-Kun Wang , Shao-Ming Fei , Zhi-Xi Wang , Jun-Peng Cao , Heng Fan

Optimal measurement is required to obtain the quantum and classical correlations of a quantum state, and the crucial difficulty is how to acquire the maximal information about one system by measuring the other part; in other words, getting…

量子物理 · 物理学 2021-11-18 M. Mahdian , H. Davoodi Yeganeh

We give a capacity formula for the classical communication over a noisy quantum channel, when local operations and global permutations allowed in the encoding and bipartite states preshared between the sender and the receiver. The two…

量子物理 · 物理学 2020-01-10 Kun Wang , Masahito Hayashi