123 research outputs found
Resource Destroying Maps
Resource theory is a widely-applicable framework for analyzing the physical
resources required for given tasks, such as computation, communication, and
energy extraction. In this paper, we propose a general scheme for analyzing
resource theories based on resource destroying maps, which leave resource-free
states unchanged but erase the resource stored in all other states. We
introduce a group of general conditions that determine whether a quantum
operation exhibits typical resource-free properties in relation to a given
resource destroying map. Our theory reveals fundamental connections among basic
elements of resource theories, in particular, free states, free operations, and
resource measures. In particular, we define a class of simple resource measures
that can be calculated without optimization, and that are monotone
nonincreasing under operations that commute with the resource destroying map.
We apply our theory to the resources of coherence and quantum correlations
(e.g., discord), two prominent features of nonclassicality.Comment: 12 pages including Supplemental Material, published versio
Cooling and work extraction under memory-assisted Markovian thermal processes
We investigate the limits on cooling and work extraction via Markovian
thermal processes assisted by a finite-dimensional memory. Here the memory is a
-dimensional quantum system with trivial Hamiltonian and initially in a
maximally mixed state. For cooling a qubit system, we consider two paradigms:
cooling under coherent control and cooling under incoherent control. For both
paradigms, we derive the optimal ground-state populations under the set of
general thermal processes (TP) and the set of Markovian thermal processes
(MTP), and we further propose memory-assisted protocols, which bridge the gap
between the performances of TP and MTP. For the task of work extraction, we
prove that when the target system is a qubit in the excited state the minimum
extraction error achieved by TP can be approximated by Markovian thermal
processes assisted by a large enough memory. Our results can bridge the
performances of TP and MTP in thermodynamic tasks including cooling and work
extraction.Comment: Published versio
- …