Generalized Quantum Control-Not Gate in Two-Spin Ising System

TL;DR

This paper explores the implementation of a generalized quantum Control-Not gate with arbitrary phase shifts in a two-spin Ising system, demonstrating that a resonant π-pulse can realize such a gate.

Contribution

It introduces the concept of a generalized quantum Control-Not gate with arbitrary phase shift and shows how a resonant π-pulse can implement it in a two-spin system.

Findings

Resonant π-pulse acts as a simple implementation of the generalized CNOT gate.

The generalized CNOT gate includes arbitrary phase shifts, broadening its applicability.

Numerical investigation confirms the feasibility of the proposed implementation.

Abstract

The physical implementation of the quantum Control-Not gate for a two-spin system is investigated numerically. The concept of a generalized quantum Control-Not gate, with arbitrary phase shift, is introduced. It is shown that a resonant $\pi$-pulse provides a simple example of a generalized quantum Control-Not gate.