Encoding Two-Qubit Logical States and Quantum Operations Using the Energy States of a Physical System

Dimitrios Ntalaperas,Nikos Konofaos

doi:10.3390/technologies10010001

Dimitrios Ntalaperas, Nikos Konofaos

Open Access

https://doi.org/10.3390/technologies10010001

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Journal: Technologies	Publication Date: Dec 22, 2021
Citations: 6	License type: CC BY 4.0

Affiliation: Aristotle University of Thessaloniki

Abstract

In this paper, we introduce a novel coding scheme, which allows single quantum systems to encode multi-qubit registers. This allows for more efficient use of resources and the economy in designing quantum systems. The scheme is based on the notion of encoding logical quantum states using the charge degree of freedom of the discrete energy spectrum that is formed by introducing impurities in a semiconductor material. We propose a mechanism of performing single qubit operations and controlled two-qubit operations, providing a mechanism for achieving these operations using appropriate pulses generated by Rabi oscillations. The above architecture is simulated using the Armonk single qubit quantum computer of IBM to encode two logical quantum states into the energy states of Armonk’s qubit and using custom pulses to perform one and two-qubit quantum operations.

Highlights

Quantum algorithms are known to outperform their classical counterparts in a variety of computational tasks [1,2,3]; various proposals have been suggested for the physical implementation of quantum computers, while multiple implementations have taken place [4,5]
To establish the validity of the approach, we exhibited the dynamics of the system using the IBM Armonk, a single qubit quantum computer developed by IBM that can be accessed via the Qiskit SDK [5]
We investigated the possibility of using multiple energy states to densely encode logical qubit states

Summary

Introduction

Quantum algorithms are known to outperform their classical counterparts in a variety of computational tasks [1,2,3]; various proposals have been suggested for the physical implementation of quantum computers, while multiple implementations have taken place [4,5]. A typical quantum computing architecture may refer to fundamental configurations of qubits and their interaction, resulting implementations will normally involve error correcting mechanisms to accommodate for the various sources of quantum error such as measurement error, decoherence and depolarization. The codes used for qubits involve entanglement; the bit flip code and the Shor Code [6] are typical examples of quantum error correction codes. The totality of the qubits used to both store and perform quantum error correction is typically referred to as the physical qubits of the system. A system implementing the bit flip code that uses two extra qubits to perform error correction to a single state will have three physical qubits and one logical

Methods

Results

Conclusion