PIRSA:06090011

The Learnability of Quantum States

APA

Aaronson, S. (2006). The Learnability of Quantum States . Perimeter Institute for Theoretical Physics. https://pirsa.org/06090011

MLA

Aaronson, Scott. The Learnability of Quantum States . Perimeter Institute for Theoretical Physics, Sep. 20, 2006, https://pirsa.org/06090011

BibTex

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2006},
            month = {sep},
            note = {PIRSA:06090011 see, \url{https://scivideos.org/index.php/pirsa/06090011}}
          }
          

Scott Aaronson The University of Texas at Austin

Talk numberPIRSA:06090011
Source RepositoryPIRSA
Collection

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