Creating Quantum Cluster States embedded in ancillary baths

TL;DR

This paper introduces a systematic method to engineer open quantum system dynamics using Lindblad dissipators, enabling the creation of resource states like cluster states for quantum computing without adiabatic processes.

Contribution

It presents a novel inverse engineering approach that leverages Lindblad dissipators and quantum control to generate cluster states efficiently in open quantum systems.

Findings

Explicit control sequences for cluster state creation

Method works without auxiliary Hamiltonians

Efficient polynomial-time control implementation

Abstract

We propose a systematic and explicit method for the inverse engineering of the dynamics of an open quantum systems with no auxiliary Hamiltonian nor the prerequisite of adiabatic passage. In particular, we exploit the Lindblad dissipators in order to create a resource state or subspace of interest in the presence of decoherence. In a conceptual shift, the Lindblad dissipators, including multiple interactions that are central to determine the steady state in the long-time limit for an open quantum system, can be guided to produce a useful practical resource to achieve an arbitrary target state or subspace. More importantly, with the help of gate and circuit-based quantum control, we provide an explicit, programmable, and polynomially efficient control sequence to create a cluster state or graph state useful for one-way quantum computing.