Entanglement Concentration is Irreversible

Kumagai, Wataru; Hayashi, Masahito

doi:10.1103/physrevlett.111.130407

Cited by 23 publications

(22 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, it is quite difficult to derive the amount of this improvement. For entanglement concentration and dilution, this problem has been already solved because the problem is reduced to the individual optimizations of entanglement concentration and dilution [10]. However, when the initial or the target state is not maximally entangled, the problem is not so easy because it seems necessary to consider the optimization of the sum of the errors involving common possible LOCC operations.…”

Section: B Future Workmentioning

confidence: 99%

Asymptotic compatibility between local-operations-and-classical-communication conversion and recovery

Ito¹,

Kumagai²,

Hayashi³

2015

Phys. Rev. A

Self Cite

View full text Add to dashboard Cite

Recently, entanglement concentration was explicitly shown to be irreversible. However, it is still not clear what kind of states can be reversibly converted in the asymptotic setting by LOCC when neither the initial nor the target state is maximally entangled. We derive the necessary and sufficient condition for the reversibility of LOCC conversions between two bipartite pure entangled states in the asymptotic setting. In addition, we show that conversion can be achieved perfectly with only local unitary operation under such condition except for special cases. Interestingly, our result implies that an error-free reversible conversion is asymptotically possible even between states whose copies can never be locally unitarily equivalent with any finite numbers of copies, although such a conversion is impossible in the finite setting. In fact, we show such an example. Moreover, we establish how to overcome the irreversibility of LOCC conversion in two ways. As for the first method, we evaluate how many copies of the initial state is to be lost to overcome the irreversibility of LOCC conversion. The second method is to add a supplementary state appropriately, which also works for LU conversion unlike the first method. Especially, for the qubit system, any non-maximally pure entangled state can be a universal resource for the asymptotic reversibility when copies of the state is sufficiently many. More interestingly, our analysis implies that far-from-maximally entangled states can be better than nearly maximally entangled states as this type of resource. This fact brings new insight to the resource theory of state conversion.

show abstract

Section: B Future Workmentioning

confidence: 99%

Asymptotic compatibility between local-operations-and-classical-communication conversion and recovery

Ito¹,

Kumagai²,

Hayashi³

2015

Phys. Rev. A

Self Cite

View full text Add to dashboard Cite

show abstract

“…[40][41][42] Metal-porphycenes supported on metal surfaces have attracted much attention in recent years owing to their potential application in designing molecular switches, sensors or photovoltaic devices. [43][44][45] Here, we focus on the ORR activity of unsupported molecular and gold supported 3d MPc (Figure 1). While the study is done on all 3d metal-porphycenes, we will use FePc to illustrate our key results throughout the manuscript and show that the influence of support is dependent on the central metal (M) in the metalporphycene.…”

Section: Introductionmentioning

confidence: 99%

Exploring the Effect of Gold Support on the Oxygen Reduction Reaction Activity of Metal Porphycenes

Siahrostami

Nørskov

2018

ChemCatChem

View full text Add to dashboard Cite

It has been a long‐standing goal to find alternative, cost effective catalysts for oxygen reduction reaction (ORR) in fuel cells. Molecular complexes capable of efficiently catalyzing ORR, when supported on a conducting solid surface could provide interesting hybrid materials combining the best of homogeneous and heterogeneous catalysis. We use density functional theory to study the ORR activity of molecular (unsupported) and gold supported 3d metal (II)‐porphycenes (MPc). All the 3d metal‐porphycenes adsorb strongly on the Au(111) support with negative free energy of formation ranging from 1.0–3.0 eV while solvation lowers the energy of molecular MPc by only 0.5 eV compared to the gas phase. These indicate that the 3d MPc are stable and anchored firmly to the gold surface under ORR conditions. Based on our analysis, the gold support enhances the ORR activity in some of the examined MPc systems. We find that the molecular MnPc and FePc are the best ORR electrocatalysts with theoretical overpotentials of 0.44 V and 0.36 V. This work highlights the important role of the support in preserving/increasing the activity of molecular catalyst.

show abstract

“…A first attempt to address reversibility beyond the asymptotic limit was made in [10,11] for the resource theory of entanglement. In [12] the authors developed a mathematical framework that allows us to study how irreversibility arises when we refine the asymptotic scenario and look at corrections that arise due to finite-size effects.…”

mentioning

confidence: 99%

Avoiding Irreversibility: Engineering Resonant Conversions of Quantum Resources

2019

View full text Add to dashboard Cite

We identify and explore the intriguing property of resource resonance arising within resource theories of entanglement, coherence and thermodynamics. While the theories considered are reversible asymptotically, the same is generally not true in realistic scenarios where the available resources are bounded. The finite-size effects responsible for this irreversibility could potentially prohibit small quantum information processors or thermal machines from achieving their full potential. Nevertheless, we show here that by carefully engineering the resource interconversion process any such losses can be greatly suppressed. Our results are predicted by higher order expansions of the trade-off between the rate of resource interconversion and the achieved fidelity, and are verified by exact numerical optimizations of appropriate approximate majorization conditions.

show abstract

Entanglement Concentration is Irreversible

Cited by 23 publications

References 12 publications

Asymptotic compatibility between local-operations-and-classical-communication conversion and recovery

Asymptotic compatibility between local-operations-and-classical-communication conversion and recovery

Exploring the Effect of Gold Support on the Oxygen Reduction Reaction Activity of Metal Porphycenes

Avoiding Irreversibility: Engineering Resonant Conversions of Quantum Resources

Contact Info

Product

Resources

About