Globally controlled universal quantum computation with arbitrary subsystem dimension

TL;DR

This paper presents a universal quantum computation scheme using quantum cellular automata in arbitrary subsystem dimensions, requiring only global control and mirror symmetric encoding, with a method for subsystem-specific measurement.

Contribution

It introduces a novel scheme for universal quantum computation in arbitrary subsystem dimensions using global pulses and mirror symmetric encoding.

Findings

Works for arbitrary subsystem dimensions, not limited to finite cases

Uses only global control pulses and mirror symmetric encoding

Includes a mechanism for subsystem-specific measurement

Abstract

We introduce a scheme to perform universal quantum computation in quantum cellular automata (QCA) fashion in arbitrary subsystem dimension (not necessarily finite). The scheme is developed over a one spatial dimension $N$-element array, requiring only mirror symmetric logical encoding and global pulses. A mechanism using ancillary degrees of freedom for subsystem specific measurement is also presented.