Relating the Resource Theories of Entanglement and Quantum Coherence

Publication Type:
Journal Article
Citation:
Physical Review Letters, 2016, 117 (2)
Issue Date:
2016-07-08
Metrics:
Full metadata record
Files in This Item:
Filename Description Size
PhysRevLett.117.020402.pdfPublished Version188.21 kB
Adobe PDF
© 2016 American Physical Society. Quantum coherence and quantum entanglement represent two fundamental features of nonclassical systems that can each be characterized within an operational resource theory. In this Letter, we unify the resource theories of entanglement and coherence by studying their combined behavior in the operational setting of local incoherent operations and classical communication (LIOCC). Specifically, we analyze the coherence and entanglement trade-offs in the tasks of state formation and resource distillation. For pure states we identify the minimum coherence-entanglement resources needed to generate a given state, and we introduce a new LIOCC monotone that completely characterizes a state's optimal rate of bipartite coherence distillation. This result allows us to precisely quantify the difference in operational powers between global incoherent operations, LIOCC, and local incoherent operations without classical communication. Finally, a bipartite mixed state is shown to have distillable entanglement if and only if entanglement can be distilled by LIOCC, and we strengthen the well-known Horodecki criterion for distillability.
Please use this identifier to cite or link to this item: