Algorithm and Circuit of Nesting Doubled Qubits

TL;DR

This paper presents a quantum circuit based on CNOT and XOR gates that enables the measurement and reproduction of quantum superpositions, addressing the challenge of copying quantum states within quantum information theory.

Contribution

It introduces a novel quantum circuit design for nesting doubled qubits that facilitates measurement and potential copying of quantum superpositions.

Findings

Circuit exhibits entanglement of states

Allows measurement of doubled qubits

Provides insights into quantum state reproduction

Abstract

Copying the quantum states is contradictory to classical information processing since the fundamental difference between classical and quantum information is that while classical information can be copied perfectly, quantum information cannot. However, this statement does not rule out the risk of building a device that can reproduce a set of quantum states. This paper investigates the naturally arising question of how well or under what conditions one can copy and measure an arbitrary quantum superposition of states. The CNOT and XOR operation-based quantum circuit is presented that exhibits entanglement of states and allows for measuring the doubled qubits.