Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
On the Separability Problem of Quantum Systems. / Yakhyaeva, Gulnara; Kharchenko, Vladimir.
2025 IEEE XVII International Scientific and Technical Conference on Actual Problems of Electronic Instrument Engineering (APEIE). Institute of Electrical and Electronics Engineers Inc., 2025. p. 1-5.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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TY - GEN
T1 - On the Separability Problem of Quantum Systems
AU - Yakhyaeva, Gulnara
AU - Kharchenko, Vladimir
N1 - Conference code: 17
PY - 2025/12/18
Y1 - 2025/12/18
N2 - When developing and operating quantum computers, it is necessary to be able to check quantum registers for the presence of quantum entanglement between its subsystems, due to which quantum computers gain computational advantage in solving many problems over classical computers. The state in which a quantum system consists of two or more subsystems that are not entangled with each other is called separable.In this article, we provide an overview of various existing approaches to solving the problem of determining separability in a quantum system. To do this, we provide an overview of works on this topic, describing both established and new approaches, highlighting directions in which new possibilities for solving the problem can be explored. We provide a definition of the problem of checking a system for separability, based on which we describe several applicable separability criteria. We provide a model-theoretic approach to solving the separability problem, describing a quantum system as a blurry model.
AB - When developing and operating quantum computers, it is necessary to be able to check quantum registers for the presence of quantum entanglement between its subsystems, due to which quantum computers gain computational advantage in solving many problems over classical computers. The state in which a quantum system consists of two or more subsystems that are not entangled with each other is called separable.In this article, we provide an overview of various existing approaches to solving the problem of determining separability in a quantum system. To do this, we provide an overview of works on this topic, describing both established and new approaches, highlighting directions in which new possibilities for solving the problem can be explored. We provide a definition of the problem of checking a system for separability, based on which we describe several applicable separability criteria. We provide a model-theoretic approach to solving the separability problem, describing a quantum system as a blurry model.
KW - Computers
KW - Quantum system
KW - Quantum computing
KW - Tensors
KW - Quantum entanglement
KW - Instruments
KW - Interconnected systems
KW - Quantum state
KW - Registers
KW - Partitioning algorithms
KW - QUSEP
KW - quantum entanglement
KW - quantum separability
KW - quantum systems
KW - separability criteria
KW - blurry models
UR - https://www.scopus.com/pages/publications/105031764192
UR - https://www.mendeley.com/catalogue/b5f2fe23-35c7-37ac-83c1-93fb25ca9ab8/
U2 - 10.1109/apeie66761.2025.11289275
DO - 10.1109/apeie66761.2025.11289275
M3 - Conference contribution
SN - 979-8-3315-5917-5
SP - 1
EP - 5
BT - 2025 IEEE XVII International Scientific and Technical Conference on Actual Problems of Electronic Instrument Engineering (APEIE)
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2025 IEEE XVII International Scientific and Technical Conference on Actual Problems of Electronic Instrument Engineering
Y2 - 14 November 2025 through 16 November 2025
ER -
ID: 76212938