Compressing continuous variable quantum measurements - UTU Research Portal

A1 Refereed original research article in a scientific journal

Compressing continuous variable quantum measurements

Authors: Jokinen, Pauli; Egelhaaf, Sophie; Pellonpää, Juha-Pekka; Uola, Roope

Publisher: IOP Publishing Ltd

Publishing place: BRISTOL

Publication year: 2024

Journal: Journal of Physics A: Mathematical and Theoretical

Journal name in source: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Journal acronym: J PHYS A-MATH THEOR

Article number: 325302

Volume: 57

Issue: 32

Number of pages: 20

ISSN: 1751-8113

eISSN: 1751-8121

DOI: https://doi.org/10.1088/1751-8121/ad6539

Web address : https://iopscience.iop.org/article/10.1088/1751-8121/ad6539

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/457758845

Abstract

We generalize the notion of joint measurability to continuous variable systems by extending a recently introduced compression algorithm of quantum measurements to this realm. The extension results in a property that asks for the minimal dimensional quantum system required for representing a given set of quantum measurements. To illustrate the concept, we show that the canonical pair of position and momentum is completely incompressible. We translate the concept of measurement compression to the realm of quantum correlations, where it results in a generalization of continuous variable quantum steering. In contrast to the steering scenario, which detects entanglement, the generalization detects the dimensionality of entanglement. We illustrate the bridge between the concepts by showing that an analogue of the original EPR argument is genuinely infinite-dimensional with respect to our figure of merit, and that a fundamental discrete variable result on preparability of unsteerable state assemblages with separable states does not directly carry over to the continuous variable setting. We further prove a representation result for partially entanglement breaking channels that can be of independent interest.

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Jokinen_2024_J._Phys._A__Math._Theor._57_325302.pdf

Funding information in the publication:
P J, S E, and R U are thankful for the support from the Swiss National Science Foundation (Ambizione PZ00P2-202179)