A possible route towards dissipation-protected qubits using a multidimensional dark space and its symmetries

Nature Communications
Raul A SantosYuval Gefen

Abstract

Quantum systems are always subject to interactions with an environment, typically resulting in decoherence and distortion of quantum correlations. It has been recently shown that a controlled interaction with the environment may actually help to create a state, dubbed as "dark", which is immune to decoherence. To encode quantum information in the dark states, they need to span a space with a dimensionality larger than one, so different orthogonal states act as a computational basis. Here, we devise a symmetry-based conceptual framework to engineer such degenerate dark spaces (DDS), protected from decoherence by the environment. We illustrate this construction with a model protocol, inspired by the fractional quantum Hall effect, where the DDS basis is isomorphic to a set of degenerate Laughlin states. The long-time steady state of our driven-dissipative model exhibits thus all the characteristics of degenerate vacua of a unitary topological system.

References

Feb 15, 1985·Physical Review. B, Condensed Matter·F D Haldane, E H Rezayi
Apr 15, 1985·Physical Review. B, Condensed Matter·S A Trugman, S Kivelson
Oct 6, 2000·Physical Review Letters·E KnillL Viola
Apr 20, 2004·Physical Review Letters·Dung-Hai Lee, Jon Magne Leinaas
Feb 21, 2006·Physical Review Letters·Alexander SeidelJoel Moore
Dec 13, 2006·Physical Review Letters·A GriessnerP Zoller
Apr 7, 2010·Physical Review Letters·M RoncagliaJ I Cirac
Jan 15, 2011·Physical Review Letters·S DiehlP Zoller
Oct 4, 2012·Physical Review Letters·Masaaki NakamuraEmil J Bergholtz
Jul 2, 2016·Physical Review Letters·M E Kimchi-SchwartzI Siddiqi

❮ Previous
Next ❯

Software Mentioned

mathop
nabla

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.

Related Papers

Physical Review Letters
D BaconK B Whaley
Physical Review Letters
Hans Georg Krojanski, Dieter Suter
Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
Amit Hagar
© 2021 Meta ULC. All rights reserved