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The double slit experiment provides a classic example of both interference and the effect of observation in quantum physics. When particles are sent individually through a pair of slits, a wave-like interference pattern develops, but no…

Quantum Physics · Physics 2016-07-01 Joshua Kincaid , Kyle McLelland , Michael Zwolak

The problem of estimating multiple loss parameters of an optical system using the most general ancilla-assisted parallel strategy is solved under energy constraints. An upper bound on the quantum Fisher information matrix is derived…

Quantum Physics · Physics 2018-12-12 Ranjith Nair

We investigate the optimal tradeoff between information gained about an unknown coherent state and the state disturbance caused by the measurement process. We propose several optical schemes that can enable this task, and we implement one…

Quantum Physics · Physics 2009-11-11 Ulrik L. Andersen , Metin Sabuncu , Radim Filip , Gerd Leuchs

Multiparameter estimation theory offers a general framework to explore imaging techniques beyond the Rayleigh limit. While optimal measurements of single parameters characterizing a composite light source are now well understood,…

A longstanding problem in quantum metrology is how to extract as much information as possible in realistic scenarios with not only multiple unknown parameters, but also limited measurement data and some degree of prior information. Here we…

Quantum Physics · Physics 2020-03-24 Jesús Rubio , Jacob Dunningham

Bohr's principle of complementarity predicts that in a welcher weg ("which-way") experiment, obtaining fully visible interference pattern should lead to the destruction of the path knowledge. Here I report a failure for this prediction in…

Quantum Physics · Physics 2007-05-23 Shahriar S. Afshar

We present wave-particle duality relations involving the relative entropy coherence measure, which plays a prominent role in the resource theory of coherence. The main input in these relations is an entropic bound for the which-way…

Quantum Physics · Physics 2020-09-02 Emilio Bagan , Janos A. Bergou , Mark Hillery

Complementarity, the incomplete nature of a quantum measurement - a core concept in quantum mechanics - stems from the choice of the measurement apparatus. The notion of complementarity is closely related to Heisenberg's uncertainty…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 E. Weisz , H. K. Choi , I. Sivan , M. Heiblum , Y. Gefen , D. Mahalu , V. Umansky

We explore precision in a measurement process incorporating pure probe states, unitary dynamics and complete measurements via a simple formalism. The concept of `information complement' is introduced. It undermines measurement precision and…

Quantum Physics · Physics 2010-02-17 Gabriel A. Durkin

One of the milestones of quantum mechanics is Bohr's complementarity principle. It states that a single quantum can exhibit a particle-like \emph{or} a wave-like behaviour, but never both at the same time. These are mutually exclusive and…

Quantum Physics · Physics 2015-06-03 R. Auccaise , R. M. Serra , J. G. Filgueiras , R. S. Sarthour , I. S. Oliveira , L. C. Céleri

Information-theoretic definitions for the noise associated with a quantum measurement and the corresponding disturbance to the state of the system have recently been introduced [F. Buscemi et al., Phys. Rev. Lett. 112, 050401 (2014)]. These…

Quantum Physics · Physics 2016-12-14 Alastair A. Abbott , Cyril Branciard

The coherence properties of two downconversion processes continuously coupled via idler beams are analyzed. We find that the amount of which-way information about a signal photon carried by idler beams periodically attains its maximum and…

Quantum Physics · Physics 2007-05-23 J. Rehacek , L. Mista , J. Fiurasek , J. Perina

The trade-off between the information gain and the state disturbance is derived for quantum operations on a single qubit prepared in a uniformly distributed pure state. The derivation is valid for a class of measures quantifying the state…

Quantum Physics · Physics 2007-05-23 Konrad Banaszek

Wave-particle duality and complementarity principle stand at the conceptual core of quantum theory in its orthodox Copenhagen interpretation. They imply that the wave behavior and particle behavior of quantum objects are mutually exclusive…

Quantum Physics · Physics 2015-06-22 Zhi-Yuan Li

Complementarity constitutes a central aspect of quantum theory. It manifests itself, for example, in a two-way interferometer, where the simultaneous observation of an interference pattern and the acquisition of which-way information are…

Quantum Physics · Physics 2025-10-21 Elisabeth Meusert , Uwe Schilling , Marc-Oliver Pleinert , Joachim von Zanthier

We address the trade-off between information gain and state disturbance in measurement performed on qudit systems and devise a class of optimal measurement schemes that saturate the ultimate bound imposed by quantum mechanics to estimation…

Quantum Physics · Physics 2007-08-08 Marco G. Genoni , Matteo G. A. Paris

The quest to have both which-path knowledge and interference fringes in a double-slit experiment dates back to the inception of quantum mechanics (QM) and to the famous Einstein-Bohr debates. In this paper we propose and discuss an…

Quantum Physics · Physics 2016-08-04 Stefan Ataman

A new method for high efficiency interaction-free measurement is presented. Selective transmission of multiple beam interference is used to generate a continuous wave target beam with an irradiance level ~1% that of a reference beam. When…

Quantum Physics · Physics 2007-05-23 Stuart Mirell , Daniel Mirell

We address the trade-off between information and disturbance in qubit thermometry from the perspective of quantum estimation theory. Given a quantum measurement, we quantify information via the Fisher information of the measurement and…

Quantum Physics · Physics 2018-04-16 Luigi Seveso , Matteo G. A. Paris

We investigate the tradeoff between the quality of an approximate version of a given measurement and the disturbance it induces in the measured quantum system. We prove that if the target measurement is a non-degenerate von Neumann…

Quantum Physics · Physics 2019-01-23 Anna-Lena K. Hashagen , Michael M. Wolf