Journal
QUANTUM INFORMATION PROCESSING
Volume 17, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1007/s11128-017-1770-0
Keywords
SLOCC entanglement classification; Quantum entanglement; Spectrums; Standard Jordan normal forms
Funding
- NSFC [10875061]
- Tsinghua National Laboratory for Information Science and Technology
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We investigate the proportional relationships for spectrums and standard Jordan normal forms (SJNFs) of the 4 by 4 matrices constructed from coefficient matrices of two SLOCC (stochastic local operations and classical communication) equivalent states of n qubits. The proportional relationships permit a reduction of SLOCC classification of n (>= 4) qubits to a classification of 4 by 4 complex matrices. Invoking the proportional relationships for spectrums and SJNFs, pure states of n (>= 4) qubits are partitioned into 12 groups or less and 34 families or less under SLOCC, respectively. Specially, it is true for four qubits.
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