Refrigeration via purification through repeated measurements

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