Optimal Ramsey interferometry with echo protocols based on one-axis twisting

Research output: Contribution to journalArticleResearchpeer review

Authors

External Research Organisations

  • Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
View graph of relations

Details

Original languageEnglish
Article number062611
JournalPhysical Review A
Volume108
Issue number6
Publication statusPublished - 11 Dec 2023

Abstract

We study a variational class of generalized Ramsey protocols that include two one-axis twisting (OAT) operations, one performed before the phase imprint and the other after. In this framework, we optimize the axes of the signal imprint, the OAT interactions, and the direction of the final projective measurement. We distinguish between protocols that exhibit symmetric or antisymmetric dependencies of the spin projection signal on the measured phase. Our results show that the quantum Fisher information, which sets the limits on the sensitivity achievable with a given one-axis twisted input state, can be saturated within our class of variational protocols for almost all initial twisting strengths. By incorporating numerous protocols previously documented in the literature, our approach creates a unified framework for Ramsey echo protocols with OAT states and measurements.

Keywords

    quant-ph

ASJC Scopus subject areas

Cite this

Optimal Ramsey interferometry with echo protocols based on one-axis twisting. / Scharnagl, M. S.; Kielinski, T.; Hammerer, K.
In: Physical Review A, Vol. 108, No. 6, 062611, 11.12.2023.

Research output: Contribution to journalArticleResearchpeer review

Scharnagl MS, Kielinski T, Hammerer K. Optimal Ramsey interferometry with echo protocols based on one-axis twisting. Physical Review A. 2023 Dec 11;108(6):062611. doi: 10.1103/PhysRevA.108.062611
Download
@article{8b5cccc679864e7784984371362dd153,
title = "Optimal Ramsey interferometry with echo protocols based on one-axis twisting",
abstract = "We study a variational class of generalized Ramsey protocols that include two one-axis twisting (OAT) operations, one performed before the phase imprint and the other after. In this framework, we optimize the axes of the signal imprint, the OAT interactions, and the direction of the final projective measurement. We distinguish between protocols that exhibit symmetric or antisymmetric dependencies of the spin projection signal on the measured phase. Our results show that the quantum Fisher information, which sets the limits on the sensitivity achievable with a given one-axis twisted input state, can be saturated within our class of variational protocols for almost all initial twisting strengths. By incorporating numerous protocols previously documented in the literature, our approach creates a unified framework for Ramsey echo protocols with OAT states and measurements.",
keywords = "quant-ph",
author = "Scharnagl, {M. S.} and T. Kielinski and K. Hammerer",
note = "Funding Information: We acknowledge funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through Project-ID 274200144 - SFB 1227 (projects A06 and A07) and Project-ID 390837967 - EXC 2123, and by the Quantum Valley Lower Saxony Q1 project (QVLS-Q1) through the Volkswagen foundation and the ministry for science and culture of Lower Saxony. ",
year = "2023",
month = dec,
day = "11",
doi = "10.1103/PhysRevA.108.062611",
language = "English",
volume = "108",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "6",

}

Download

TY - JOUR

T1 - Optimal Ramsey interferometry with echo protocols based on one-axis twisting

AU - Scharnagl, M. S.

AU - Kielinski, T.

AU - Hammerer, K.

N1 - Funding Information: We acknowledge funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through Project-ID 274200144 - SFB 1227 (projects A06 and A07) and Project-ID 390837967 - EXC 2123, and by the Quantum Valley Lower Saxony Q1 project (QVLS-Q1) through the Volkswagen foundation and the ministry for science and culture of Lower Saxony.

PY - 2023/12/11

Y1 - 2023/12/11

N2 - We study a variational class of generalized Ramsey protocols that include two one-axis twisting (OAT) operations, one performed before the phase imprint and the other after. In this framework, we optimize the axes of the signal imprint, the OAT interactions, and the direction of the final projective measurement. We distinguish between protocols that exhibit symmetric or antisymmetric dependencies of the spin projection signal on the measured phase. Our results show that the quantum Fisher information, which sets the limits on the sensitivity achievable with a given one-axis twisted input state, can be saturated within our class of variational protocols for almost all initial twisting strengths. By incorporating numerous protocols previously documented in the literature, our approach creates a unified framework for Ramsey echo protocols with OAT states and measurements.

AB - We study a variational class of generalized Ramsey protocols that include two one-axis twisting (OAT) operations, one performed before the phase imprint and the other after. In this framework, we optimize the axes of the signal imprint, the OAT interactions, and the direction of the final projective measurement. We distinguish between protocols that exhibit symmetric or antisymmetric dependencies of the spin projection signal on the measured phase. Our results show that the quantum Fisher information, which sets the limits on the sensitivity achievable with a given one-axis twisted input state, can be saturated within our class of variational protocols for almost all initial twisting strengths. By incorporating numerous protocols previously documented in the literature, our approach creates a unified framework for Ramsey echo protocols with OAT states and measurements.

KW - quant-ph

UR - http://www.scopus.com/inward/record.url?scp=85179556590&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.108.062611

DO - 10.1103/PhysRevA.108.062611

M3 - Article

VL - 108

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 6

M1 - 062611

ER -

By the same author(s)