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A class of optimal quantum repeaters for qubits is suggested. The schemes are minimal, i.e. involve a single additional probe qubit, and optimal, i.e. provide the maximum information adding the minimum amount of noise. Information gain and…

量子物理 · 物理学 2009-11-11 Marco G. Genoni , Matteo G. A. Paris

For an arbitrary preparation, quantum mechanical descriptions refer to the complementary contexts set by incompatible measurements. We argue that an arbitrary preparation, therefore, should be described with respect to such a context by its…

量子物理 · 物理学 2009-11-10 Mohammad Mehrafarin

Quantum information theory is closely related to quantum measurement theory because one must perform measurement to obtain information on a quantum system. Among many possible limits of quantum measurement, the simplest ones were derived…

量子物理 · 物理学 2009-10-31 Akira Shimizu

A distinguishing feature of protective measurement is the possibility of obtaining information about expectation values while making the disturbance of the initial state arbitrarily small. Quantifying this state disturbance is of paramount…

量子物理 · 物理学 2015-12-10 Maximilian Schlosshauer

Differentiation is a cornerstone of computing and data analysis in every discipline of science and engineering. Indeed, most fundamental physics laws are expressed as relationships between derivatives in space and time. However, derivatives…

数值分析 · 数学 2026-03-10 Pavel Komarov , Floris van Breugel , J. Nathan Kutz

One of the basic lessons of quantum theory is that one cannot obtain information on an unknown quantum state without disturbing it. Hence, by performing a certain measurement, we limit the other possible measurements that can be effectively…

量子物理 · 物理学 2018-08-24 Erkka Haapasalo , Teiko Heinosaari , Takayuki Miyadera

Basic quantum information measures involved in the information analysis of quantum systems are considered. It is shown that the main quantum information measurement methods depend on whether the corresponding quantum events are compatible…

量子物理 · 物理学 2007-05-23 B. A. Grishanin , V. N. Zadkov

Quantum coherence and quantum correlations lie in the center of quantum information science, since they both are considered as fundamental reasons for significant features of quantum mechanics different from classical mechanics. We present…

量子物理 · 物理学 2023-02-14 Zeyang Fan , Yi Peng , Yu-Ran Zhang , Shang Liu , Liang-Zhu Mu , Heng Fan

It has been shown that Information-Disturbance theorem can play an important role in security proof of quantum cryptography. The theorem is by itself interesting since it can be regarded as an information theoretic version of uncertainty…

量子物理 · 物理学 2007-08-01 Takayuki Miyadera , Hideki Imai

Heisenberg's uncertainty principle is quantified by error-disturbance tradeoff relations, which have been tested experimentally in various scenarios. Here we shall report improved new versions of various error-disturbance tradeoff relations…

量子物理 · 物理学 2014-10-27 Xiao-Ming Lu , Sixia Yu , Kazuo Fujikawa , C. H. Oh

We use a perturbative approach to evaluate transition amplitudes corresponding to quantum friction, for a scalar model describing an atom which moves at a constant velocity, close to a material plane. In particular, we present results on…

高能物理 - 理论 · 物理学 2023-08-29 Aitor Fernández , C. D. Fosco

While the slogan "no measurement without disturbance" has established itself under the name Heisenberg effect in the consciousness of the scientifically interested public, a precise statement of this fundamental feature of the quantum world…

量子物理 · 物理学 2013-10-24 Paul Busch , Pekka Lahti , Reinhard F. Werner

The operational meaning of some measures of noise and disturbance in measurements is analyzed and their limitations are pointed out. The cases of minimal noise and least disturbance are characterized.

量子物理 · 物理学 2011-01-04 P. Busch , T. Heinonen , P. Lahti

For a large class of variational quantum circuits, we show how arbitrary-order derivatives can be analytically evaluated in terms of simple parameter-shift rules, i.e., by running the same circuit with different shifts of the parameters. As…

量子物理 · 物理学 2021-03-03 Andrea Mari , Thomas R. Bromley , Nathan Killoran

The uncertainty principle is often interpreted by the tradeoff between the error of a measurement and the consequential disturbance to the followed ones, which originated long ago from Heisenberg himself but now falls into reexamination and…

量子物理 · 物理学 2018-03-29 Yu-Xiang Zhang , Shengjun Wu , Zeng-Bing Chen

Any measurement is intended to provide information on a system, namely knowledge about its state. However, we learn from quantum theory that it is generally impossible to extract information without disturbing the state of the system or its…

量子物理 · 物理学 2020-11-18 Giacomo Mauro D'Ariano , Paolo Perinotti , Alessandro Tosini

Heisenberg's intuition was that there should be a tradeoff between measuring a particle's position with greater precision and disturbing its momentum. Recent formulations of this idea have focused on the question of how well two…

量子物理 · 物理学 2015-07-31 Patrick J. Coles , Fabian Furrer

A novel scheme to realize the whole class of quantum nondemolition (QND) measurements of a field quadrature is suggested. The setup requires linear optical components and squeezers, and allows optimal QND measurements of quadratures, which…

量子物理 · 物理学 2015-06-26 Matteo G A Paris

We address the information/disturbance trade-off for state-measurements on continuous variable Gaussian systems and suggest minimal schemes for implementations. In our schemes, the symbols from a given alphabet are encoded in a set of…

量子物理 · 物理学 2009-11-13 Marco G. Genoni , Matteo G. A. Paris

We consider the divergences in quantum electrodynamics. Our approach is based on ideas from the theory of generalized wave operators. In particular, we use the concept of the deviation factor. The deviation factor characterizes the…

数学物理 · 物理学 2019-03-05 Lev Sakhnovich