Seminar 4j173b
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TOPOLOGICAL QUANTUM COMPUTING
ASHWINI ANIL 18MSRPH002 1ST M.Sc PHYSICS JAIN UNIVERSITY
•
QUANTUM COMPUTING
•
TOPOLOGY
•
TOPOLOGICAL QUANTUM MATTER
•
TOPOLOGICAL QUANTUM COMPUTING
•
ANYONS
•
PRINCIPLES OF OPERATION
•
REFERNCES
QUANTUM COMPUTING :
•
Use of Quantum mechanical phenomena like Superposition and Entanglement for computation.
•
Uses Quantum bits or Qubits.
TOPOLOGY:
•
A branch of Mathematics that focuses on the fundamental properties of objects.
•
Topological properties don’t change when an object is gradually stretched or bent. The object has to be torn or attached in new places.
COW INTO SPHERE
MUG INTO DOUGHNUT
Image source: Wikipedia
Image source : Wikipedia
Image source : researchmatters.in
TOPOLOGICAL QUANTUM MATTER:
•
Even microscopic matter at the smallest scale can exhibit macroscopic properties and phases that are topological.
•
Revolutionized the fields of material science, electronic engineering , etc.
•
Applications : 1.
Fractional quantum hall effect
2.
Topological Insulator
TOPOLOGICAL QUANTUM COMPUTING: •
A theoretical quantum computer that employs two-
dimensional Quasiparticles called Anyons.
•
Much more stable compared to quantum computer based on trapped particles.
•
Alexei Kitaev proposed topological quantum computation in 1997.
ANYONS:
•
A type of Quasiparticle that occurs only in twodimensional systems.
•
Generally classified as Abelian and Non-abelian
PRINCIPLES OF OPERATION:
Image source : Google Images
PRINCIPLES OF OPERATION:
PRINCIPLES OF OPERATION:
SUMMARY:
Topological Quantum Computers are theoretical Quantum Computers which use Non-Abelian Anyons to form braids using their world-lines which can be used as
Qubits.
Topological Quantum Computer is highly stable compared to standard Quantum Computer as noise cannot cause error in the calculation.
REFERENCES : •
Quantum Computation and Quantum Information by Nielsen and Chuang
•
Topological Quantum Matter – Lecture by Prof. Duncan Haldane, Princeton University
•
Topological Quantum Computer – Lecture by Prof. John Preskill, Caltech
•
Topological Quantum Computing- Lecture by Prof. Steve Simon, Institute of Quantum Computing
•
Topological Quantum Computing: Plenty of Room in the Middle – Lecture by Prof. Jason Alicea, Caltech
ASHWINI ANIL 18MSRPH002 1ST M.Sc PHYSICS JAIN UNIVERSITY
•
QUANTUM COMPUTING
•
TOPOLOGY
•
TOPOLOGICAL QUANTUM MATTER
•
TOPOLOGICAL QUANTUM COMPUTING
•
ANYONS
•
PRINCIPLES OF OPERATION
•
REFERNCES
QUANTUM COMPUTING :
•
Use of Quantum mechanical phenomena like Superposition and Entanglement for computation.
•
Uses Quantum bits or Qubits.
TOPOLOGY:
•
A branch of Mathematics that focuses on the fundamental properties of objects.
•
Topological properties don’t change when an object is gradually stretched or bent. The object has to be torn or attached in new places.
COW INTO SPHERE
MUG INTO DOUGHNUT
Image source: Wikipedia
Image source : Wikipedia
Image source : researchmatters.in
TOPOLOGICAL QUANTUM MATTER:
•
Even microscopic matter at the smallest scale can exhibit macroscopic properties and phases that are topological.
•
Revolutionized the fields of material science, electronic engineering , etc.
•
Applications : 1.
Fractional quantum hall effect
2.
Topological Insulator
TOPOLOGICAL QUANTUM COMPUTING: •
A theoretical quantum computer that employs two-
dimensional Quasiparticles called Anyons.
•
Much more stable compared to quantum computer based on trapped particles.
•
Alexei Kitaev proposed topological quantum computation in 1997.
ANYONS:
•
A type of Quasiparticle that occurs only in twodimensional systems.
•
Generally classified as Abelian and Non-abelian
PRINCIPLES OF OPERATION:
Image source : Google Images
PRINCIPLES OF OPERATION:
PRINCIPLES OF OPERATION:
SUMMARY:
Topological Quantum Computers are theoretical Quantum Computers which use Non-Abelian Anyons to form braids using their world-lines which can be used as
Qubits.
Topological Quantum Computer is highly stable compared to standard Quantum Computer as noise cannot cause error in the calculation.
REFERENCES : •
Quantum Computation and Quantum Information by Nielsen and Chuang
•
Topological Quantum Matter – Lecture by Prof. Duncan Haldane, Princeton University
•
Topological Quantum Computer – Lecture by Prof. John Preskill, Caltech
•
Topological Quantum Computing- Lecture by Prof. Steve Simon, Institute of Quantum Computing
•
Topological Quantum Computing: Plenty of Room in the Middle – Lecture by Prof. Jason Alicea, Caltech
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