Are Incoherent Operations Physically Consistent

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Presentation transcript:

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

Quantum Resource Theories

Quantum Resource Theories

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

What is the meaning of quantum coherence? One philosophy:

Basis-Dependent Resource Theories of Coherence

Basis-Dependent Resource Theories of Coherence

Are These Physical Resource Theories?

A Physically Consistent Resource Theory

A Physically Consistent Resource Theory

Extending the Resource Theory of Coherence to Larger Systems

Compare with Resource Theory of U(1)-Asymmetry

A Physically Consistent Resource Theory of Coherence

Physically Consistent Incoherent Operations (PIO)

The LOCC Analog of Coherence Resource Theory

Physically Consistent Incoherent Operations (PIO)

Physically Consistent Incoherent Operations (PIO)

Relaxing the Constraint of Physical Consistency PIO MIO 1 IO SIO PIO DIO 1 Marvian and Spekkens, arXiv:1602.08049 (2016).

Robustness-Based Coherence Measures

Qubit Coherence

Higher Dimensions PIO SIO MIO IO DIO

Conclusions/Open Questions PIO SIO MIO IO DIO

Conclusions/Open Questions PIO SIO MIO IO DIO

Thank You!!