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Multiphoton tomography with linear optics and photon counting

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Title: Multiphoton tomography with linear optics and photon counting
Authors: Banchi, L
Kolthammer, WS
Kim, MS
Item Type: Journal Article
Abstract: Determining an unknown quantum state from an ensemble of identical systems is a fundamental, yet experimentally demanding, task in quantum science. Here we study the number of measurement bases needed to fully characterize an arbitrary multimode state containing a definite number of photons, or an arbitrary mixture of such states. We show this task can be achieved using only linear optics and photon counting, which yield a practical though nonuniversal set of projective measurements. We derive the minimum number of measurement settings required and numerically show that this lower bound is saturated with random linear optics configurations, such as when the corresponding unitary transformation is Haar random. Furthermore, we show that for N photons, any unitary 2N design can be used to derive an analytical, though nonoptimal, state reconstruction protocol.
Issue Date: 21-Dec-2018
Date of Acceptance: 1-Dec-2018
URI: http://hdl.handle.net/10044/1/65374
DOI: https://dx.doi.org/10.1103/physrevlett.121.250402
ISSN: 0031-9007
Publisher: American Physical Society (APS)
Journal / Book Title: Physical Review Letters
Volume: 121
Issue: 25
Copyright Statement: © 2018 American Physical Society.
Sponsor/Funder: Engineering & Physical Science Research Council (E
The Royal Society
Samsung Electronics Co Ltd
Korea Institute of Science and Technology
Funder's Grant Number: EP/K034480/1
WM140063
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Keywords: quant-ph
02 Physical Sciences
General Physics
Publication Status: Published
Article Number: 250402
Online Publication Date: 2018-12-18
Appears in Collections:Quantum Optics and Laser Science
Physics
Faculty of Natural Sciences



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