Compressive Direct Measurement of the Quantum Wave Function

Mirhosseini, Mohammad and Magaña-Loaiza, Omar S. and Hashemi Rafsanjani, Seyed Mohammad and Boyd, Robert W. (2014) Compressive Direct Measurement of the Quantum Wave Function. Physical Review Letters, 113 (9). Art. No. 090402. ISSN 0031-9007. https://resolver.caltech.edu/CaltechAUTHORS:20190628-110703950

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Abstract

The direct measurement of a complex wave function has been recently realized by using weak values. In this Letter, we introduce a method that exploits sparsity for the compressive measurement of the transverse spatial wave function of photons. The procedure involves weak measurements of random projection operators in the spatial domain followed by postselection in the momentum basis. Using this method, we experimentally measure a 192-dimensional state with a fidelity of 90% using only 25 percent of the total required measurements. Furthermore, we demonstrate the measurement of a 19 200-dimensional state, a task that would require an unfeasibly large acquiring time with the standard direct measurement technique.

Item Type:

Article

Related URLs:

URL	URL Type	Description
https://doi.org/10.1103/physrevlett.113.090402	DOI	Article
https://arxiv.org/abs/1404.2680	arXiv	Discussion Paper

ORCID:

Author	ORCID
Hashemi Rafsanjani, Seyed Mohammad	0000-0001-7718-5654
Boyd, Robert W.	0000-0002-1234-2265

Additional Information:

© 2014 American Physical Society. (Received 13 May 2014; published 27 August 2014) We acknowledge helpful discussions with J. H. Eberly, B. Rodenburg, and Z. Shi. This work was supported by the DARPA/DSO InPho program, the U.S. Defense Threat Reduction Agency (Grant No. HDTRA1-10-1-0025), and the Canadian Excellence Research Chair (CERC) program. O. S. M.-L. also acknowledges support from the CONACyT. S. M. H. R. acknowledges financial support from NSF Grant No. PHY-1203931.

Funders:

Funding Agency	Grant Number
Defense Threat Reduction Agency (DTRA)	HDTRA1-10-1-0025
Defense Advanced Research Projects Agency (DARPA)	UNSPECIFIED
Canada Research Chairs Program	UNSPECIFIED
Consejo Nacional de Ciencia y Tecnología (CONACYT)	UNSPECIFIED
NSF	PHY-1203931

Issue or Number:

Classification Code:

PACS numbers: 03.65.Ta, 03.65.Wj, 42.15.Dp, 42.50.Ex

Record Number:

CaltechAUTHORS:20190628-110703950

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20190628-110703950

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No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

96831

Collection:

CaltechAUTHORS

Deposited By:

George Porter

Deposited On:

01 Jul 2019 15:21

Last Modified:

03 Oct 2019 21:25

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