Quantum Chinese Magic Box

TL;DR

This paper proposes a quantum information storage device called the Quantum Chinese Magic Box, enabling a sender to encode information in multiple non-orthogonal states, with the receiver retrieving only one set of information upon measurement, illustrating novel quantum measurement properties.

Contribution

It introduces the concept and construction of a quantum storage box with multiple drawers using non-orthogonal states, demonstrating a new quantum measurement and information retrieval method.

Findings

Constructed quantum states for a single qubit with multiple drawers

Demonstrated the wave function collapse effect on information retrieval

Discussed applications including a new quantum key distribution protocol

Abstract

This work introduces a new concept of Chinese-Magic-Box. The general idea is to have a box such that the sender can store information in multiple drawers. The receiver is free to open any drawer. However, once the receiver opens the drawer, he can retrieve the information from that drawer only, that is, the information that was stored in the other drawers is lost. This property is achieved by storing the information using a set of non-orthogonal quantum states. The different drawers are realized by different orthogonal set of basis for the measurement. Once the measurement is performed, the information in this basis is retrieved. At the same time, due to wave function collapse the information in the other basis is lost and cannot be retrieved. I show how to construct a set of states for a single qubit to implement a Box with two or three drawers. Some applications are discussed. Among them is a new non-symmetric Quantum Key Distribution with only single direction classical communication.