Implementing Quantum Gates using the Ferromagnetic Spin-J XXZ Chain with Kink Boundary Conditions

TL;DR

This paper proposes a scheme to implement quantum gates using the ferromagnetic spin-J XXZ chain, achieving high fidelity in simulations with minimal control parameters, advancing quantum computing hardware design.

Contribution

It introduces a novel method for constructing quantum gates via unitary evolutions of the spin-J XXZ chain, demonstrating high-fidelity gate implementation with few control parameters.

Findings

Achieved over 99% fidelity in implementing quantum gates

Successfully simulated one- and two-qubit gates on spin-3/2 chains

Used numerical methods combining time-dependent DMRG and optimal control

Abstract

We demonstrate an implementation scheme for constructing quantum gates using unitary evolutions of the one-dimensional spin-J ferromagnetic XXZ chain. We present numerical results based on simulations of the chain using the time-dependent DMRG method and techniques from optimal control theory. Using only a few control parameters, we find that it is possible to implement one- and two-qubit gates on a system of spin-3/2 XXZ chains, such as Not, Hadamard, Pi-8, Phase, and C-Not, with fidelity levels exceeding 99%.