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Boson_presentation - Quantum Computing with Noninteracting...

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Quantum Computing with Noninteracting Particles Alex Arkhipov
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Noninteracting Particle Model Weak model of QC Probably not universal Restricted kind of entanglement Not qubit-based Why do we care? Gains with less quantum Easier to build Mathematically pretty
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Classical Analogue
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Balls and Slots
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Transition Matrix
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A Transition Probability ?
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A Transition Probability
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A Transition Probability
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A Transition Probability
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A Transition Probability
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A Transition Probability
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A Transition Probability
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Probabilities for Classical Analogue
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Probabilities for Classical Analogue What about other transitions? ? ?
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Configuration Transitions Transition matrix for one ball m=3, n=1 Transition matrix for two-ball configurations m=3, n=2
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Classical Model Summary n identical balls m slots Choose start configuration Choose stochastic transition matrix M Move each ball as per M Look at resulting configuration
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Quantum Model
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Quantum Particles Two types of particle: Bosons and Fermions Bosons Fermions (Slide concept by Scott Aaronson)
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Identical Bosons ?
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Identical Fermions ?
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