Fault tolerant Quantum Information Processing with Holographic control

TL;DR

This paper proposes a holographic, fault-tolerant control method for quantum computers that reduces physical addressability constraints, potentially improving scalability of quantum hardware.

Contribution

It introduces a semi-global control strategy enabling fault-tolerant quantum computation with boundary-only measurements and control, applicable to N-dimensional qubit arrays.

Findings

Compatible with N-dimensional arrays with (N-1)-dimensional addressing

Requires only boundary measurements and control

Offers a scalable approach to quantum hardware

Abstract

We present a fault-tolerant semi-global control strategy for universal quantum computers. We show that N-dimensional array of qubits where only (N-1)-dimensional addressing resolution is available is compatible with fault-tolerant universal quantum computation. What is more, we show that measurements and individual control of qubits are required only at the boundaries of the fault-tolerant computer, i.e. holographic fault-tolerant quantum computation. Our model alleviates the heavy physical conditions on current qubit candidates imposed by addressability requirements and represents an option to improve their scalability.