Collective purification of interacting quantum networks beyond symmetry constraints

TL;DR

This paper introduces a universal, symmetry-breaking cooling strategy for interacting quantum networks that uses collective coupling to an ancilla spin, enabling effective state purification beyond symmetry constraints.

Contribution

The authors propose a novel collective cooling method that overcomes symmetry-imposed limitations, applicable to diverse quantum network configurations.

Findings

Effective purification of multi-spin networks demonstrated

Strategy overcomes symmetry constraints in cooling

Applicable to various experimental setups

Abstract

Following any quantum information processing protocol, it is essential to reset a mixed state of a many-body interacting spin-network to the computational-zero pure state. This task is challenging, both theoretically and experimentally, because of the quantum correlations. There is currently no effective cooling strategy for both high and low temperatures in such networks. Here we put forth a universal cooling strategy for multi-spin interacting networks. The strategy is based on the collective coupling of the system to an ancilla spin that intermittently dumps part of its entropy into an ultracold bath. Yet this strategy should overcome the symmetry-imposed correlations that impede the cooling. To avoid the prohibitive complexity of computing the dynamics, we resort to graph analysis of the network. %To approach the desired state, We show that a unique choice of alternating, non-commuting system-ancilla interaction Hamiltonians exists that breaks the symmetry constraints and allows the network to approach the desired pure state. We illustrate this universal purification strategy in diverse experimental settings.