PLESCH, Martin and Matej PIVOLUSKA. Loss of information in quantum guessing game. New Journal of Physics. IOP publishing, 2018, vol. 20, 07 02 2018, p. "023018:1"-"023018:10", 10 pp. ISSN 1367-2630. Available from: https://dx.doi.org/10.1088/1367-2630/aaa5f8.
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Basic information
Original name Loss of information in quantum guessing game
Authors PLESCH, Martin (703 Slovakia, guarantor, belonging to the institution) and Matej PIVOLUSKA (703 Slovakia, belonging to the institution).
Edition New Journal of Physics, IOP publishing, 2018, 1367-2630.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10201 Computer sciences, information science, bioinformatics
Country of publisher Germany
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 3.783
RIV identification code RIV/00216224:14610/18:00100814
Organization unit Institute of Computer Science
Doi http://dx.doi.org/10.1088/1367-2630/aaa5f8
UT WoS 000424693600004
Keywords in English measurement problem; quantum guessing game; measurement incompatibility
Tags rivok
Tags International impact, Reviewed
Changed by Changed by: Mgr. Alena Mokrá, učo 362754. Changed: 10/4/2019 13:41.
Abstract
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.
Links
GF17-33780L, research and development projectName: Vícečásticové kvantové provázání a bezpečnost (Acronym: MultiQUEST)
Investor: Czech Science Foundation, Multipartite QUantum Entanglement and SecuriTy
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