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The Learnability of Quantum States

Recording Details

Speaker(s): 
Scientific Areas: 
Collection/Series: 
PIRSA Number: 
06090011

Abstract

Traditional quantum state tomography requires a number of measurements that grows exponentially with the number of qubits n. But using ideas from computational learning theory, I'll show that "for most practical purposes" one can learn a quantum state using a number of measurements that grows only linearly with n. I'll discuss applications of this result in experimental physics and quantum computing theory, as well as possible implications for the foundations of quantum mechanics. quant-ph/0608142