1. Are Incoherent Operations Physically Consistent
Are Incoherent Operations Physically Consistent? — Appraising Resource Theories of Quantum Coherence and an Overview of Coherence Measures
Eric Chitambar
Gilad Gour
AQIS 2016
August 30, 2016

2. Quantum Resource Theories

3. Quantum Resource Theories

4. What is the meaning of quantum coherence?
One philosophy: “ ”
Cohen-Tannoudji
– Quantum Mechanics Vol 1.

5. What is the meaning of quantum coherence?
One philosophy:

6. Basis-Dependent Resource Theories of Coherence

7. Basis-Dependent Resource Theories of Coherence

8. Are These Physical Resource Theories?

9. A Physically Consistent Resource Theory

10. A Physically Consistent Resource Theory

11. Extending the Resource Theory of Coherence to Larger Systems

12. Compare with Resource Theory of U(1)-Asymmetry

13. A Physically Consistent Resource Theory of Coherence

14. Physically Consistent Incoherent Operations (PIO)

15. The LOCC Analog of Coherence Resource Theory

16. Physically Consistent Incoherent Operations (PIO)

17. Physically Consistent Incoherent Operations (PIO)

18. Relaxing the Constraint of Physical Consistency
PIO
MIO 1 IO
SIO
PIO
DIO
1 Marvian and Spekkens, arXiv: (2016).

19. Robustness-Based Coherence Measures

20. Qubit Coherence

21. Higher Dimensions
PIO
SIO
MIO IO
DIO

22. Conclusions/Open Questions
PIO
SIO
MIO IO
DIO

23. Conclusions/Open Questions
PIO
SIO
MIO IO
DIO

24. Thank You!!