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Open AccessJournal ArticleDOI

Transmission of a Cartesian Frame by a Quantum System

Asher Peres, +1 more
- 26 Sep 2001 - 
- Vol. 87, Iss: 16, pp 167901-167901
TLDR
The algorithm for decoding a quantum state prepared in a superposition of states belonging to different irreducible representations of the rotation group is presented, and the fidelity of transmission is evaluated.
Abstract
A single quantum system, such as a hydrogen atom, can transmit a Cartesian coordinate frame (three axes). For this it has to be prepared in a superposition of states belonging to different irreducible representations of the rotation group. The algorithm for decoding such a state is presented, and the fidelity of transmission is evaluated.

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Citations
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Quantum-enhanced measurements: beating the standard quantum limit.

TL;DR: This work has shown that conventional bounds to the precision of measurements such as the shot noise limit or the standard quantum limit are not as fundamental as the Heisenberg limits and can be beaten using quantum strategies that employ “quantum tricks” such as squeezing and entanglement.
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Reference frames, superselection rules, and quantum information

TL;DR: This paper reviews the role of reference framesmore and superselection rules in the theory of quantum-information processing and finds that quantum unspeakable information becomes a new kind of resource that can be manipulated, depleted, quantified, etc.
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Quantum Information and Relativity Theory

TL;DR: In particular, when black holes (or more generally, event horizons) are involved most of the current concepts in quantum information theory may then require a reassessment as discussed by the authors, in particular when black hole horizons are involved.
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Observable measure of quantum coherence in finite dimensional systems.

TL;DR: An experimental scheme is presented implementable with current technology which evaluates the quantum coherence of an unknown state of a d-dimensional system by performing two programmable measurements on an ancillary qubit, in place of the O(d2) direct measurements required by full state reconstruction.
Repository

Bibliographic guide to the foundations of quantum mechanics and quantum information

TL;DR: A collection of references (papers, books, preprints, book reviews, Ph. D. thesis, patents, web sites, etc.), sorted alphabetically and classified by subject, on foundations of quantum mechanics and quantum information can be found in this article.
References
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Numerical recipes

Angular Momentum in Quantum Mechanics

TL;DR: In this paper, the angular momentum, one of the most fundamental quantities in all of quantum mechanics, is introduced and a concise introduction to its application in atomic, molecular, and nuclear physics is provided.
Book

Angular Momentum in Quantum Mechanics

TL;DR: In this article, the angular momentum, one of the most fundamental quantities in all of quantum mechanics, is introduced and a concise introduction to its application in atomic, molecular, and nuclear physics is provided.
Book

Quantum detection and estimation theory

TL;DR: In this article, the optimum procedure for choosing between two hypotheses, and an approximate procedure valid at small signal-to-noise ratios and called threshold detection, are presented, and a quantum counterpart of the Cramer-Rao inequality of conventional statistics sets a lower bound to the mean-square errors of such estimates.
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Group Theory

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