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Journal ArticleDOI

Superpositions of time evolutions of a quantum system and a quantum time-translation machine.

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TLDR
A method to obtain a superposition of time evolutions of a quantum system which correspond to different Hamiltonians as well as to different periods of time is derived.
Abstract
A method to obtain a superposition of time evolutions of a quantum system which correspond to different Hamiltonians as well as to different periods of time is derived. Its application to amplification of an effect due to the action of weak forces is considered. A quantum time-translation machine based on the same principle, utilizing the gravitational field, is also considered.

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Journal ArticleDOI

Evolution of quantum superoscillations, and optical superresolution without evanescent waves

TL;DR: In this paper, a superoscillatory function is defined as a band-limited function oscillating faster than its fastest Fourier component, which is the initial state of a freely-evolving quantum wavefunction ψ.
Journal ArticleDOI

A primer for black hole quantum physics

TL;DR: In this paper, the mechanisms which give rise to the Hawking radiation were revealed by analyzing in detail pair production in the presence of horizons, and special emphasis was put on how each produced particle contributes to the mean albeit arising from a particular vacuum fluctuation.
Journal ArticleDOI

Super-Resolution without Evanescent Waves

TL;DR: It is demonstrated that an optical mask designed that creates constructive interference of waves known as superoscillation, leading to a subwavelength focus of prescribed size and shape in a field of view beyond the evanescent fields, when illuminated by a monochromatic wave.
Journal ArticleDOI

Experimental superposition of orders of quantum gates.

TL;DR: This work experimentally demonstrates the creation of the required superposition of gate orders by using additional degrees of freedom of the photons encoding qubits, which could allow quantum algorithms to be implemented with an efficiency unlikely to be achieved on a fixed-gate-order quantum computer.
Book ChapterDOI

The Two-State Vector Formalism: An Updated Review

TL;DR: The two-state vector formalism of quantum mechanics is a time-symmetrized approach to standard quantum theory particularly helpful for the analysis of experiments performed on preand post-selected ensembles as mentioned in this paper.
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