A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Compressing continuous variable quantum measurements
Tekijät: Jokinen, Pauli; Egelhaaf, Sophie; Pellonpää, Juha-Pekka; Uola, Roope
Kustantaja: IOP Publishing Ltd
Kustannuspaikka: BRISTOL
Julkaisuvuosi: 2024
Journal: Journal of Physics A: Mathematical and Theoretical
Tietokannassa oleva lehden nimi: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Lehden akronyymi: J PHYS A-MATH THEOR
Artikkelin numero: 325302
Vuosikerta: 57
Numero: 32
Sivujen määrä: 20
ISSN: 1751-8113
eISSN: 1751-8121
DOI: https://doi.org/10.1088/1751-8121/ad6539
Verkko-osoite: https://iopscience.iop.org/article/10.1088/1751-8121/ad6539
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/457758845
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.
Ladattava julkaisu This is an electronic reprint of the original article. |  |
Julkaisussa olevat rahoitustiedot:
P J, S E, and R U are thankful for the support from the Swiss National Science Foundation (Ambizione PZ00P2-202179)
