Quantum logic gates

Liang Liu

In this article,we describe the differences between classical logic gates and quantum logic gates,and explain the characteristics of quantum computation,the strong power of the quantum algorithm,and the problem of the realization of quantum logic gates.

Fuyou Fan, Guowu Yang, Gang Yang +1 more

Because ternary computer has more superiority than other d-ary number systems, we focus on the investigation of ternary elementary quantum gates and the synthesis algorithm of ternary quantum logic circuits. Above all, Pauli operators and their matrices on qutrit are introduced. Then eight qutrit operators are selected as elementary operators and eight qutrit quantum logic gates are defined. Permutation groups are introduced to characterize the quantum gates and quantum logic circuits. Some important qutrit quantum logic gates are defined also, such as QNOT, QKCXi, EQKCXi, QSwap, QCNOT and EQCNOT. Based on these elementary gates, we prove two very important theorems: (1) all qutrit quantum reversible logic circuit can be generated by Xi gate and QKCXi gate; (2) all qutrit quantum reversible logic circuits can be generated by Xi gate and QCNOT gate. The two theorems indicate that any complicated qutrit quantum reversible circuit can be constructed by the simplest ternary quantum gate. This will greatly simplify the implementation difficulty of quantum circuit. Subsequently, we propose a synthesis algorithm for qutrit quantum reversible logic circuit, which is verified through simulation experiment by the computer program we have designed.

Shinil Cho

Pan Ping

The quantum information represents the latest development of the quantum physics and the information ages have development direction of the potential, quantum logic gate is most basic logic unit of computation quantum. The article introduces basic characteristics and method of quantum logic gate, the physics realization and experiment makes progress of quantum logic gate in quantum information technique.

Christian Joachim