The Learnability of Quantum States
APA
Aaronson, S. (2006). The Learnability of Quantum States . Perimeter Institute. https://pirsa.org/06090011
MLA
Aaronson, Scott. The Learnability of Quantum States . Perimeter Institute, Sep. 20, 2006, https://pirsa.org/06090011
BibTex
@misc{ pirsa_PIRSA:06090011, doi = {10.48660/06090011}, url = {https://pirsa.org/06090011}, author = {Aaronson, Scott}, keywords = {Quantum Information}, language = {en}, title = {The Learnability of Quantum States }, publisher = {Perimeter Institute}, year = {2006}, month = {sep}, note = {PIRSA:06090011 see, \url{https://pirsa.org}} }
The University of Texas at Austin
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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