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Journal Article

Phase-Sensitive Quantum Measurement without Controlled Operations

MPS-Authors
/persons/resource/persons246853

Yang,  Yilun
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;
IMPRS (International Max Planck Research School), Max Planck Institute of Quantum Optics, Max Planck Society;

/persons/resource/persons248439

Christianen,  Arthur
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;
IMPRS (International Max Planck Research School), Max Planck Institute of Quantum Optics, Max Planck Society;

/persons/resource/persons60403

Bañuls,  Mari Carmen
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;

/persons/resource/persons265336

Wild,  Dominik
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;

/persons/resource/persons60441

Cirac,  J. Ignacio       
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;
MCQST - Munich Center for Quantum Science and Technology, External Organizations;

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2308.10796.pdf
(Preprint), 791KB

6538.pdf
(Publisher version), 466KB

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Citation

Yang, Y., Christianen, A., Bañuls, M. C., Wild, D., & Cirac, J. I. (2024). Phase-Sensitive Quantum Measurement without Controlled Operations. Physical Review Letters, 132: 220601. doi:10.1103/PhysRevLett.132.220601.


Cite as: https://hdl.handle.net/21.11116/0000-000D-C24B-4
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.