Bifurcation-based adiabatic quantum computation with a nonlinear oscillator network

Scientific Reports
Hayato Goto

Abstract

The dynamics of nonlinear systems qualitatively change depending on their parameters, which is called bifurcation. A quantum-mechanical nonlinear oscillator can yield a quantum superposition of two oscillation states, known as a Schrödinger cat state, via quantum adiabatic evolution through its bifurcation point. Here we propose a quantum computer comprising such quantum nonlinear oscillators, instead of quantum bits, to solve hard combinatorial optimization problems. The nonlinear oscillator network finds optimal solutions via quantum adiabatic evolution, where nonlinear terms are increased slowly, in contrast to conventional adiabatic quantum computation or quantum annealing, where quantum fluctuation terms are decreased slowly. As a result of numerical simulations, it is concluded that quantum superposition and quantum fluctuation work effectively to find optimal solutions. It is also notable that the present computer is analogous to neural computers, which are also networks of nonlinear components. Thus, the present scheme will open new possibilities for quantum computation, nonlinear science, and artificial intelligence.

References

Jun 1, 2001·Physical Review Letters·R Raussendorf, H J Briegel
Mar 30, 2002·Science·Giuseppe E SantoroRoberto Car
May 16, 2007·Physical Review Letters·A M ZagoskinFranco Nori
May 13, 2011·Nature·M W JohnsonG Rose
Sep 22, 2011·Optics Express·Shoko UtsunomiyaYoshihisa Yamamoto
Jul 26, 2014·Science·Troels F RønnowMatthias Troyer
Oct 27, 2014·Nature Nanotechnology·J MoserA Bachtold
Mar 15, 2015·Science·Bettina HeimMatthias Troyer
Aug 4, 2015·Chaos·Danielle F P ToupoDavid G Rand

❮ Previous
Next ❯

Citations

Jun 9, 2017·Nature Communications·Shruti PuriAlexandre Blais
Jun 24, 2016·Science Advances·Imran MahboobHiroshi Yamaguchi
Apr 3, 2020·Reports on Progress in Physics·Philipp HaukeWilliam D Oliver
Oct 22, 2019·Physical Review Letters·Toni L HeugelR Chitra
Jan 11, 2020·Physical Review Letters·Martin FrimmerAlexander Eichler
Aug 14, 2020·Nature·A GrimmM H Devoret
Jul 25, 2019·Physical Review. E·Ž NosanA Eichler
Apr 6, 2019·Physical Review Letters·Riccardo RotaVincenzo Savona
Apr 25, 2017·Science Advances·Simon E NiggRakesh P Tiwari
Oct 9, 2018·Physical Review Letters·Carlos Sánchez MuñozFranco Nori
Feb 5, 2021·Science Advances·Hayato GotoKosuke Tatsumura
Jun 3, 2021·Scientific Reports·Shumpei MasudaShiro Kawabata

❮ 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.