TY - JOUR
T1 - CRITERIA FOR ENTANGLEMENT AND SEPARABILITY OF DISCRETE QUANTUM STATES
AU - Dong, Xiaolei
AU - Wang, Miao
AU - Cao, Zhenfu
N1 - Publisher Copyright:
© Rinton Press.
PY - 2023/5
Y1 - 2023/5
N2 - Entanglement is an important quantum resource, which can be used in quantum tele-portation and quantum computation. How to judge and measure entanglement or separability has become a basic problem in quantum information theory. In this paper, by analyzing the properties of generalized ring Z[i]2n, a new method is presented to judge the entanglement or separability of any quantum state in the discrete quantum computing model proposed by Gatti and Lacalle. Different from previous criteria based on matrices, it is relatively simple to operate in mathematical calculation. And if a quantum state is separable, it can calculate the separable mathematical expression. Taking n = 2, 3 as examples, the concrete forms of all separable states in the model are presented. It provides a new research perspective for the discrete quantum computing model.
AB - Entanglement is an important quantum resource, which can be used in quantum tele-portation and quantum computation. How to judge and measure entanglement or separability has become a basic problem in quantum information theory. In this paper, by analyzing the properties of generalized ring Z[i]2n, a new method is presented to judge the entanglement or separability of any quantum state in the discrete quantum computing model proposed by Gatti and Lacalle. Different from previous criteria based on matrices, it is relatively simple to operate in mathematical calculation. And if a quantum state is separable, it can calculate the separable mathematical expression. Taking n = 2, 3 as examples, the concrete forms of all separable states in the model are presented. It provides a new research perspective for the discrete quantum computing model.
KW - Discrete quantum states
KW - Entangled states
KW - Separable states
KW - The ring of Gaussian integers
UR - https://www.scopus.com/pages/publications/85163108021
U2 - 10.26421/QIC23.7-8-1
DO - 10.26421/QIC23.7-8-1
M3 - 文章
AN - SCOPUS:85163108021
SN - 1533-7146
VL - 23
SP - 541
EP - 561
JO - Quantum Information and Computation
JF - Quantum Information and Computation
IS - 7-8
ER -