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SUMMARY:Quantum Computing applied to Partial Differential Equations in Pla
 sma Physics
DTSTART:20221219T090000Z
DTEND:20221219T110000Z
DTSTAMP:20260623T224744Z
UID:e2bf51f1-55a5-4594-a012-5510081ed809
SEQUENCE:2
CREATED:20221216T112026Z
DESCRIPTION:Abstract:Quantum computers are a promising tool to solve certa
 in problems that are out of reach of classical computers. In this presenta
 tion\, I propose new quantum algorithms for solving some nonlinear partial
  differential equations\, which occur frequently in the context of plasma 
 physics. I start by presenting new classical methods with better asymptoti
 c complexity\, and then prove that\, when compared with the classical case
 \, this new quantum algorithm shows an exponential speedup with regards to
  the number of time steps considered\, while also having a quadratic speed
 up in other parameters. Additionally\, I also propose a new techniques to 
 perform quantum error correction and to study quantum many-body systems.
LAST-MODIFIED:20221217T123913Z
LOCATION:Online
URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/quantum-computing-applied-
 to-partial-differential-equations-in-plasma-physics/
X-ALT-DESC;FMTTYPE=text/html:<p data-block-key="3a6ld"><b>Abstract:</b><br
 />Quantum computers are a promising tool to solve certain problems that ar
 e out of reach of classical computers. In this presentation\, I propose ne
 w quantum algorithms for solving some nonlinear partial differential equat
 ions\, which occur frequently in the context of plasma physics.<br/><br/> 
 I start by presenting new classical methods with better asymptotic complex
 ity\, and then prove that\, when compared with the classical case\, this n
 ew quantum algorithm shows an exponential speedup with regards to the numb
 er of time steps considered\, while also having a quadratic speedup in oth
 er parameters. Additionally\, I also propose a new techniques to perform q
 uantum error correction and to study quantum many-body systems.</p>
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