Quantum entanglement criterion based on extended complex plane

The state space of quantum system is a Hilbert space with complex inner product. The two states quantum system is called a qubit. Its quantum state gives different geometric representations. The density matrix of a quantum state can describe all the information of a quantum system. In particular, th...

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Bibliographic Details
Published in:Journal of physics. Conference series 2020-09, Vol.1634 (1), p.12167
Main Author: Liu, Guangrong
Format: Article
Language:English
Subjects:
Hilbert space
Matrix representation
Measurement methods
Physics
Quantum entanglement
Quantum theory
Qubits (quantum computing)
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Summary:The state space of quantum system is a Hilbert space with complex inner product. The two states quantum system is called a qubit. Its quantum state gives different geometric representations. The density matrix of a quantum state can describe all the information of a quantum system. In particular, the representation of quantum pure states by means of extended complex plane is given. On this basis, combined with the matrix representation of the quantum states of the composite system, the criteria for quantum entanglement and separability are studied. Finally, the measurement method of quantum pure state entanglement is given.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1634/1/012167