Construction of Generalized Quantum Boolean Functions

Autor:	Shan-Qi Pang, Qingjuan Zhang, Xiao Lin
Rok vydání:	2019
Předmět:	Discrete mathematics Applied Mathematics Qubit Quantum Physics Quantum entanglement Electrical and Electronic Engineering Quantum information Qutrit Boolean function Quantum Projection (linear algebra) Quantum computer Mathematics
Zdroj:	Chinese Journal of Electronics. 28:508-513
ISSN:	2075-5597 1022-4653
DOI:	10.1049/cje.2019.03.001
Popis:	The existing construction methods of Quantum Boolean functions (QBFs) are extended and simplified. All QBFs with one qubit and all local QBFs with any qubits are constructed. And we propose the concept of Generalized quantum Boolean functions (GQBFs). We find all GQBFs with one qutrit and all kinds of local GQBFs with any qutrits. The number of each of the four kinds of functions above is uncountably infinitely many. By using diagonal matrices, we obtain uncountably infinitely many non-local QBFs with any qubits and GQBFs with any qutrits. Infinitely many families of GQBFs with any qudits are obtained from the properties of projection matrices of known saturated orthogonal arrays.
Databáze:	OpenAIRE
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