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Quantum computation
Going from Physics to Computer Science … through Maths
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Quantum Computing
●Quicker algorithms ….
●Quantum Teleportation
●Quantum Cryptography
● Cryptanalysis
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Computer Science Paradigm Shift
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Leibnitz – 1679
Fu Xi
Religion
Binary System
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Loverlace & Babbage – 1810 – First Calculator and Algorithm
Algorithms
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Bool Algebra - 1847
Loverlace & Babbage – 1810 – First Calculator and Algorithm
And - Or - Not
Algorithms
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1943 Electronic Numerical Integrator and Calculator. ENIAC
Hydrogen bomb
First Turing-completeGeneral -purpose computer
Classical Computer Science
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Google D-Wave
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Google D-Wave
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Google D-WaveDwave 2 - 512 qbits
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Google D-WaveDwave 2 - 512 qbits
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Google D-WaveDwave 2 - 512 qbits
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Computer Science Paradigm Shift
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Classical VS Quantum Bits
Bits = Scalars
0 // 1
Qubits = Complex Vectors
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Qubits = Complex Vectors
Classical VS Quantum Bits
Bits = Scalars
0 // 1
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Classical VS Quantum Bits
Bits = Scalars
Circuit
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Classical VS Quantum Bits
Qubits = Vectors
QuantumCircuit
Superposition
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Quantum Superposition
Qubits = Vectors
Superposition
Bloch Sphere
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Quantum Superposition
Qubits = Vectors
Superposition
Classical VS Quantum Algorithms
Classical Gates – 1 and 2 bits
Quantum Gates – 2 bits
Linear Algebra
Matrix Vector Vector
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Linear Algebra
Qubits = Vectors
Superposition
Bloch Sphere
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Quantum Gates
Unitary Matrix = norm conserving
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Quantum Gates
Unitary Matrix = norm conserving
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Quantum Superposition
Unitary Matrix = norm conserving
Hadamard Gate
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Famous Algorithms
Deutsch-Jozsa (1992) - Guess the oracle
Classical :
Quantum :
Complexity
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Famous Algorithms
Classical :
Quantum :
Complexity
Shor (1994) - Inverse Log - Factorization
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Famous Algorithms
Classical :
Quantum :
Complexity
Grover (1996) - Search
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Quantum computation and Quantum InformationNielsen & Chuang
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Merci
Jean-Christophe Lavocat - Elokenzhttp://jice.lavocat.name+jice_lavocat
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