2018
Loss of information in quantum guessing game
PLESCH, Martin a Matej PIVOLUSKAZákladní údaje
Originální název
Loss of information in quantum guessing game
Autoři
PLESCH, Martin (703 Slovensko, garant, domácí) a Matej PIVOLUSKA (703 Slovensko, domácí)
Vydání
New Journal of Physics, IOP publishing, 2018, 1367-2630
Další údaje
Jazyk
angličtina
Typ výsledku
Článek v odborném periodiku
Obor
10201 Computer sciences, information science, bioinformatics
Stát vydavatele
Německo
Utajení
není předmětem státního či obchodního tajemství
Odkazy
Impakt faktor
Impact factor: 3.783
Kód RIV
RIV/00216224:14610/18:00100814
Organizační jednotka
Ústav výpočetní techniky
UT WoS
000424693600004
Klíčová slova anglicky
measurement problem; quantum guessing game; measurement incompatibility
Štítky
Příznaky
Mezinárodní význam, Recenzováno
Změněno: 10. 4. 2019 13:41, Mgr. Alena Mokrá
Anotace
V originále
Incompatibility of certain measurements — impossibility of obtaining deterministic outcomes simultaneously — is a well known property of quantum mechanics. This feature can be utilized in many contexts, ranging from Bell inequalities to device dependent QKD protocols. Typically, in these applications the measurements are chosen from a predetermined set based on a classical random variable. One can naturally ask, whether the non-determinism of the outcomes is due to intrinsic hiding property of quantum mechanics, or rather by the fact that classical, incoherent information entered the system via the choice of the measurement. Authors Rozpedek et al (2017 New J. Phys. 19 023038) examined this question for a specific case of two mutually unbiased measurements on systems of different dimensions. They have somewhat surprisingly shown that in case of qubits, if the measurements are chosen coherently with the use of a controlled unitary, outcomes of both measurements can be guessed deterministically. Here we extend their analysis and show that specifically for qubits, measurement result for any set of measurements with any a priori probability distribution can be faithfully guessed by a suitable state preparation and measurement. We also show that up to a small set of specific cases, this is not possible for higher dimensions. This result manifests a deep difference in properties of qubits and higher dimensional systems and suggests that these systems might offer higher security in specific cryptographic protocols. More fundamentally, the results show that the impossibility of predicting a result of a measurement is not caused solely by a loss of coherence between the choice of the measurement and the guessing procedure.
Návaznosti
GF17-33780L, projekt VaV |
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