Phase-driven precision boost in quantum compression for postselected metrology

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Phase-driven precision boost in quantum compression for postselected metrology. / Rostom, Aiham M.; Haddadi, Saeed; Tomilin, Vladimir A.

In: Physical Review Research, Vol. 8, No. 1, 013162, 11.02.2026.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{d4115ab035c043b888c4bce865886453,

title = "Phase-driven precision boost in quantum compression for postselected metrology",

abstract = "We reveal the noncyclic Pancharatnam phase—arising from the coherent system-meter interaction—as a fundamental criterion that governs the optimal performance of quantum compression channels in postselected metrology. This phase embodies a geometric connection that enables precise control over the parallel evolution of the meter state, thereby maximizing the quantum Fisher information per trial and achieving lossless compression channels. Remarkably, fine-tuning the postselection parameter just below this optimal phase incurs substantial information loss, whereas tuning it just above fully suppresses undesired parallel evolution, enhancing information retention beyond that achievable in postselected protocols lacking Pancharatnam phase effects. We further reveal that leveraging qudit-meter states can unlock a substantial additional enhancement. These findings establish the Pancharatnam phase as a geometric benchmark, guiding the design of high-precision quantum parameter estimation protocols.",

keywords = "Quantum foundations, Quantum information theory, Quantum metrology, Quantum parameter estimation, Weak values & weak measurements",

author = "Rostom, {Aiham M.} and Saeed Haddadi and Tomilin, {Vladimir A.}",

note = "The authors thank Professor Leonid Il'ichov for valuable discussions. This work was carried out at the Institute of Automation and Electrometry SB RAS under the framework of the State Assignment (Project No. 124041700105-5).",

year = "2026",

month = feb,

day = "11",

doi = "10.1103/5nwb-thl9",

language = "English",

volume = "8",

journal = "Physical Review Research",

issn = "2643-1564",

publisher = "American Physical Society",

number = "1",

}

RIS

TY - JOUR

T1 - Phase-driven precision boost in quantum compression for postselected metrology

AU - Rostom, Aiham M.

AU - Haddadi, Saeed

AU - Tomilin, Vladimir A.

N1 - The authors thank Professor Leonid Il'ichov for valuable discussions. This work was carried out at the Institute of Automation and Electrometry SB RAS under the framework of the State Assignment (Project No. 124041700105-5).

PY - 2026/2/11

Y1 - 2026/2/11

N2 - We reveal the noncyclic Pancharatnam phase—arising from the coherent system-meter interaction—as a fundamental criterion that governs the optimal performance of quantum compression channels in postselected metrology. This phase embodies a geometric connection that enables precise control over the parallel evolution of the meter state, thereby maximizing the quantum Fisher information per trial and achieving lossless compression channels. Remarkably, fine-tuning the postselection parameter just below this optimal phase incurs substantial information loss, whereas tuning it just above fully suppresses undesired parallel evolution, enhancing information retention beyond that achievable in postselected protocols lacking Pancharatnam phase effects. We further reveal that leveraging qudit-meter states can unlock a substantial additional enhancement. These findings establish the Pancharatnam phase as a geometric benchmark, guiding the design of high-precision quantum parameter estimation protocols.

AB - We reveal the noncyclic Pancharatnam phase—arising from the coherent system-meter interaction—as a fundamental criterion that governs the optimal performance of quantum compression channels in postselected metrology. This phase embodies a geometric connection that enables precise control over the parallel evolution of the meter state, thereby maximizing the quantum Fisher information per trial and achieving lossless compression channels. Remarkably, fine-tuning the postselection parameter just below this optimal phase incurs substantial information loss, whereas tuning it just above fully suppresses undesired parallel evolution, enhancing information retention beyond that achievable in postselected protocols lacking Pancharatnam phase effects. We further reveal that leveraging qudit-meter states can unlock a substantial additional enhancement. These findings establish the Pancharatnam phase as a geometric benchmark, guiding the design of high-precision quantum parameter estimation protocols.

KW - Quantum foundations

KW - Quantum information theory

KW - Quantum metrology

KW - Quantum parameter estimation

KW - Weak values & weak measurements

UR - https://www.scopus.com/pages/publications/105030037036

UR - https://www.mendeley.com/catalogue/8ba44e3f-f5b8-3617-943b-3318bb16a236/

U2 - 10.1103/5nwb-thl9

DO - 10.1103/5nwb-thl9

M3 - Article

VL - 8

JO - Physical Review Research

JF - Physical Review Research

SN - 2643-1564

IS - 1

M1 - 013162

ER -

ID: 80949586