Encoding many qubits in a rotor

TL;DR

This paper introduces a method to encode multiple qubits within a single quantum rotor, enabling efficient manipulation and error correction for continuous degrees of freedom, with potential for various physical implementations.

Contribution

It presents a novel encoding scheme for many qubits in a rotor, including error correction and feasible implementation strategies.

Findings

Single-operation entanglement of encoded qubits

Protection against angular errors using quantum error correction

Scheme generalizable to qudits of any dimension

Abstract

We propose a scheme for encoding many qubits in a single rotor, that is, a continuous and periodic degree of freedom. A key feature of this scheme is its ability to manipulate and entangle the encoded qubits with a single operation on the system. We also show, using quantum error-correcting codes, how to protect the qubits against small errors in angular position and momentum which may affect the rotor. We then discuss the feasibility of this scheme and suggest several candidates for its implementation. The proposed scheme is immediately generalizable to qudits of any finite dimension.