Refrigeration via purification through repeated measurements

TL;DR

This paper proposes a measurement-based quantum refrigerator model using a 1D qubit array with XY interactions, demonstrating cooling through repeated measurements and analyzing its scalability, performance, and entanglement distribution effects.

Contribution

It introduces a novel measurement-based quantum cooling protocol applicable to arbitrary qubit arrays with variable-range interactions, highlighting performance factors and scalability.

Findings

Fidelities of unmeasured qubits approach unity with nonzero success probability.

Long-range interactions generally reduce cooling efficiency.

Success probability saturates with system size, independent of parameters.

Abstract

We design a measurement-based quantum refrigerator with an arbitrary number of qubits situated in a one-dimensional array that interact through variable-range XY interactions. The method proposed is based on repeated evolution followed by a measurement on the single accessible qubit, which has the potential to reduce the temperature in the rest of the subsystems, thereby demonstrating cooling in the device. The performance of the refrigerator is quantified by the fidelity of each local subsystem with the ground state of the local Hamiltonian and the corresponding probability of success. We identify system parameters, which include the interaction strength, range of interactions, initial temperature of each qubit, and the position of the measured qubit, so that the fidelities of all the unmeasured qubits approach unity with a nonvanishing probability. We observe that although strong interactions during evolution are required to achieve cooling, the long-range interactions typically deteriorate the performance of the refrigerator, which indicates that interactions are not ubiquitous. We report the scalability and the saturation property of the success probability with respect to the system size, which turns out to be independent of the involved system parameters and the number of repeated measurements. Furthermore, we show that the number of subsystems which can be cooled changes depending on the odd or even number of sites in the refrigerator. We argue that the distribution of entanglement between unmeasured qubits can give a possible explanation of the dependence of cooling process on the measured and unmeasured sites.