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  Phase-Sensitive Quantum Measurement without Controlled Operations

Yang, Y., Christianen, A., Bañuls, M. C., Wild, D., & Cirac, J. I. (submitted). Phase-Sensitive Quantum Measurement without Controlled Operations.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000D-C24B-4 Version Permalink: https://hdl.handle.net/21.11116/0000-000D-C27E-B
Genre: Preprint
Other : Preprint arXiv: arXiv:2308.10796 Submitted on 21 Aug 2023

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2308.10796.pdf (Preprint), 791KB
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 Creators:
Yang, Yilun1, 2, Author           
Christianen, Arthur1, 2, Author           
Bañuls, Mari Carmen1, 2, Author           
Wild, Dominik1, 2, Author           
Cirac, J. Ignacio1, 2, Author                 
Affiliations:
1Theory, Max Planck Institute of Quantum Optics, Max Planck Society, ou_1445571              
2MCQST - Munich Center for Quantum Science and Technology, External Organizations, ou_3330166              

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Free keywords: Quantum Physics, quant-ph
 Abstract: Many quantum algorithms rely on the measurement of complex quantum
amplitudes. Standard approaches to obtain the phase information, such as the
Hadamard test, give rise to large overheads due to the need for global
controlled-unitary operations. We introduce a quantum algorithm based on
complex analysis that overcomes this problem for amplitudes that are a
continuous function of time. Our method only requires the implementation of
real-time evolution and a shallow circuit that approximates a short
imaginary-time evolution. We show that the method outperforms the Hadamard test
in terms of circuit depth and that it is suitable for current noisy quantum
computers when combined with a simple error-mitigation strategy.

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Language(s): eng - English
 Dates: 2023-08-21
 Publication Status: Submitted
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 2308.10796v1
 Degree: -

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Project name : FermiQP, EQUAHUMO
Grant ID : 13N15890, 13N1606
Funding program : Funding program quantum technologies - from basic research to market
Funding organization : German Federal Ministry of Education and Research (BMBF)
Project name : Munich Quantum Valley (MQV)
Grant ID : -
Funding program : -
Funding organization : Bavarian state government with funds from the Hightech Agenda Bayern Plus
Project name : Marie Sklodowska-Curie Grant
Grant ID : 101023276
Funding program : European Union’s Horizon 2020 research and innovation programme
Funding organization : -
Project name : -
Grant ID : -
Funding program : Germany’s Excellence Strategy – EXC-2111 – 390814868
Funding organization : Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)

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