One-Shot Coherence Distillation

Physical Review Letters
Bartosz RegulaGerardo Adesso

Abstract

We characterize the distillation of quantum coherence in the one-shot setting, that is, the conversion of general quantum states into maximally coherent states under different classes of quantum operations. We show that the maximally incoherent operations (MIO) and the dephasing-covariant incoherent operations (DIO) have the same power in the task of one-shot coherence distillation. We establish that the one-shot distillable coherence under MIO and DIO is efficiently computable with a semidefinite program, which we show to correspond to a quantum hypothesis testing problem. Further, we introduce a family of coherence monotones generalizing the robustness of coherence as well as the modified trace distance of coherence, and show that they admit an operational interpretation in characterizing the fidelity of distillation under different classes of operations. By providing an explicit formula for these quantities for pure states, we show that the one-shot distillable coherence under MIO, DIO, strictly incoherent operations, and incoherent operations is equal for all pure states.

References

Apr 1, 1996·Physical Review. a·C H BennettB Schumacher
Jan 29, 1996·Physical Review Letters·C H BennettW K Wootters
Jun 21, 2001·Physical Review Letters·G Vidal, J I Cirac
Jul 5, 2002·Physical Review Letters·G VidalJ I Cirac
Sep 26, 2012·Physical Review Letters·Ligong Wang, Renato Renner
Oct 18, 2014·Physical Review Letters·T BaumgratzM B Plenio
Mar 11, 2015·Nature Communications·Matteo LostaglioTerry Rudolph
Jul 26, 2015·Physical Review Letters·Alexander StreltsovGerardo Adesso
Dec 5, 2015·Physical Review Letters·Piotr ĆwiklińskiJonathan Oppenheim
Mar 5, 2016·Physical Review Letters·E ChitambarM Lewenstein
Mar 12, 2016·Physical Review Letters·N KilloranM B Plenio
Apr 9, 2016·Physical Review Letters·Andreas Winter, Dong Yang
Apr 30, 2016·Physical Review Letters·Carmine NapoliGerardo Adesso
May 21, 2016·Nature Communications·Patrick J ColesNorbert Lütkenhaus
Jul 2, 2016·Physical Review Letters·A StreltsovM Lewenstein
Jul 26, 2016·Physical Review Letters·Eric Chitambar, Min-Hsiu Hsieh
Oct 28, 2017·Physical Review Letters·Kaifeng BuJunde Wu
Mar 16, 2018·Physical Review Letters·Qi ZhaoXiongfeng Ma

❮ Previous
Next ❯

Citations

May 6, 2019·Physical Review Letters·Ludovico LamiGerardo Adesso
May 6, 2019·Physical Review Letters·Ryuji TakagiGerardo Adesso
Aug 7, 2019·Physical Review Letters·Zi-Wen LiuRyuji Takagi
Sep 7, 2019·Physical Review Letters·C L Liu, D L Zhou
Sep 17, 2019·Physical Review Letters·You-Qi NieJian-Wei Pan
Jan 9, 2020·Nature Communications·Iman Marvian
Aug 28, 2020·Physical Review Letters·Kun Fang, Zi-Wen Liu
Sep 1, 2018·Physical Review Letters·Kun FangGerardo Adesso
Jan 16, 2021·Physical Review Letters·Thomas J ElliottMile Gu
Aug 24, 2021·Physical Review Letters·Bartosz Regula, Ryuji Takagi

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.