1. ENTANGLEMENT IN SMALL SELF-CONTAINED QUANTUM FRIDGES NICOLAS BRUNNER, RALPH SILVA, PAUL SKRZYPCZYK, MARCUS HUBER NOAH LINDEN & SANDU POPESCU SINGAPORE AUG 2013

2. 3-QUBIT FRIDGE

3. DESIGN

4. 3-QUBIT FRIDGE DESIGN INTERACTION

5. 3-QUBIT FRIDGE DESIGN INTERACTION BIASCOOLING

6. THE MODEL FREE HAMILTONIAN WITH

7. THE MODEL FREE HAMILTONIAN INTERACTION WITH

8. THE MODEL FREE HAMILTONIAN INTERACTION THERMALISATION  RESET QUBIT TO THERMAL STATE WITH

9. THE MODEL FREE HAMILTONIAN INTERACTION THERMALISATION  RESET QUBIT TO THERMAL STATE WITH WEAK COUPLING REGIME

10. SOLVING THE MODEL MASTER EQUATION STEADY STATE DISSIPATOR (LINDBLAD) TRACELESS MATRIX ≈ BIAS BETWEEN POPULATIONS OF |010> AND |101>

11. AROUND CARNOT POINT STEADY STATE TRACELESS MATRIXBIAS

12. AROUND CARNOT POINT STEADY STATE CARNOT POINT TRACELESS MATRIXBIAS

13. AROUND CARNOT POINT STEADY STATE CARNOT POINT ALSO TRUE AROUND CARNOT (BALL OF SEP STATES) TRACELESS MATRIXBIAS

14. AROUND CARNOT POINT ENTANGLEMENT IS DETRIMENTAL FOR EFFICIENCY STEADY STATE CARNOT POINT ALSO TRUE AROUND CARNOT (BALL OF SEP STATES) TRACELESS MATRIXBIAS

15. ENTANGLEMENT? STEADY STATE WHERE

16. ENTANGLEMENT? STEADY STATE ENTANGLEMENT WITNESSES WHERE MEASURE OF ENTANGLEMENT GUHNE & SEEVINCK NJP 2010, HUBER et al. PRL 2010

17. ENTANGLEMENT ZOO 1. ENTANGLEMENT BETWEEN ANY BIPARTITION 2. GENUINE TRIPARTITE ENTANGLEMENT

18. ENTANGLEMENT ZOO 1. ENTANGLEMENT BETWEEN ANY BIPARTITION 2. GENUINE TRIPARTITE ENTANGLEMENT DOES THIS ENTANGLEMENT PLAY ANY ROLE?

19. COOLING CONSIDER A GIVEN OBJECT (QUBIT) TO BE COOLED FIX: ENERGY, BATH (TEMPERATURE T C, COUPLING)

20. COOLING CONSIDER A GIVEN OBJECT (QUBIT) TO BE COOLED CONSIDER GIVEN RESSOURCES: HOT BATH (T H ) COLD BATH (T R ) FIX: ENERGY, BATH (TEMPERATURE T C, COUPLING p 1 )

21. COOLING CONSIDER A GIVEN OBJECT (QUBIT) TO BE COOLED FIX: ENERGY, BATH (TEMPERATURE T C, COUPLING p 1 ) CONSIDER GIVEN RESSOURCES: HOT BATH (T H ) COLD BATH (T R ) 1. OPTIMIZE COOLING  T S (LOWEST T FOR QUBIT) FREE PARAMETERS: E 2 and g, p 2, p 3 << E i

22. COOLING CONSIDER A GIVEN OBJECT (QUBIT) TO BE COOLED CONSIDER GIVEN RESSOURCES: HOT BATH (T H ) COLD BATH (T R ) 1. OPTIMIZE COOLING  T S (LOWEST T FOR QUBIT) 2. OPTIMIZE COOLING IMPOSING SEPARABILITY  T S * FREE PARAMETERS: E 2 and g, p 2, p 3 << E i FIX: ENERGY, BATH (TEMPERATURE T C, COUPLING p 1 )

23. COOLING ENHANCEMENT RELATIVE COOLING ENHANCEMENT

24. COOLING ENHANCEMENT RELATIVE COOLING ENHANCEMENT NO ENHANCEMENT

25. COOLING ENHANCEMENT MONOTONOUS RELATION BTW COOLING ENHANCEMENT AND ENTANGLEMENT (CONCURRENCE)

26. COOLING ENHANCEMENT MONOTONOUS RELATION BTW COOLING ENHANCEMENT AND ENTANGLEMENT (CONCURRENCE) FUNCTIONAL RELATIONSHIP?

27. ENERGY TRANSPORT ENTANGLEMENT: ENERGY IN / ENERGY OUT

28. OPEN QUESTIONS BEYOND WEAK COUPLING REGIME OTHER MODELS MACROSCOPIC FRIDGES HEAT ENGINES QUANTUM EFFECTS IN BATHS