Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
| | Speaker: | 郭志华 教授，陕西师范大学
| | Inviter: | | Title:
| Conversions between quantum resources by means of incoherent operations | Time & Venue:
| 2021.06.21 09:30-10:30 腾讯会议:801 205 609 | Abstract:
| One of the main problems in any quantum resource theory is the characterization of the conversions between resources by means of the free operations of the theory. Quantum coherence and quantum correlation are two fundamental resources in quantum information and computation. In this work, we first focus on the question of creating quantum correlation from a coherent state via incoherent quantum operations. We give the specific forms of states in two-qubit systems, called super-coherent ones, that can be mapped to quantum correlated ones via some genuinely incoherent operation. We find that there exist some coherent states that are not super-coherent. Furthermore, we prove that a state can be mapped to a quantum correlated state via an incoherent operation if and only if it is coherent. Second, we ask if coherence, already present in a reference system, can be broadcast to the auxiliary system via incoherent operations. We prove that it is impossible for a weaker form of broadcasting via incoherent operations. This shows that broadcasting of coherence is forbidden via incoherent operations in every finite-dimensional system. We also prove that a generalized form of broadcasting via incoherent quantum operations can occur if and only if the state of system is coherent. In this case, we are able to give a method for constructing an incoherent quantum operation to generalized broadcast coherence.
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