# Information encoding and encryption in acoustic analogues of qubits

## TL;DR

This paper introduces a new cryptographic method using acoustic phi-bits, classical analogues of quantum bits, to securely encode and encrypt information.

## Contribution

The novel contribution is the use of driven acoustic metamaterials to implement phi-bits for secure information encoding and encryption.

## Key findings

- Phi-bits exhibit quantum-like superpositions with complex amplitudes and phases.
- A 5 phi-bits system successfully demonstrated secure message encryption.
- The approach scales efficiently to N phi-bits systems without increasing processing time.

## Abstract

Cryptography is crucial in protecting sensitive information and ensuring secure transactions in a time when data security and privacy are major concerns. Traditional cryptography techniques, which depend on mathematical algorithms and secret keys, have historically protected against data breaches and illegal access. With the advent of quantum computers, traditional cryptography techniques are at risk. In this work, we present a cryptography idea using logical phi-bits, which are classical analogues of quantum bits (qubits) and are supported by driven acoustic metamaterials. The state of phi-bits displays superpositions similar to quantum bits, with complex amplitudes and phases. We present a representation of the state vector of single and multi-phi-bit systems. The state vector of multiple phi-bits system lies in a complex exponentially scaling Hilbert space and is used to encode information or messages. By changing the driving conditions of the metamaterial, the information can be encrypted with exceptional security and efficiency. We illustrate experimentally the practicality and effectiveness of encoding and encryption of a message using a 5 phi-bits system and emphasize the scalability of this approach to an N phi-bits system with the same processing time.