J 2018

Loss of information in quantum guessing game

PLESCH, Martin a Matej PIVOLUSKA

Základní 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
Název: Vícečásticové kvantové provázání a bezpečnost (Akronym: MultiQUEST)
Investor: Grantová agentura ČR, Vícečásticové kvantové provázání a bezpečnost, Partnerská agentura (Rakousko)