Classical simulation of quantum circuits via stabilizer rank
APA
Gosset, D. (2018). Classical simulation of quantum circuits via stabilizer rank. Perimeter Institute. https://pirsa.org/18020095
MLA
Gosset, David. Classical simulation of quantum circuits via stabilizer rank. Perimeter Institute, Feb. 07, 2018, https://pirsa.org/18020095
BibTex
@misc{ pirsa_PIRSA:18020095, doi = {10.48660/18020095}, url = {https://pirsa.org/18020095}, author = {Gosset, David}, keywords = {Quantum Information}, language = {en}, title = {Classical simulation of quantum circuits via stabilizer rank}, publisher = {Perimeter Institute}, year = {2018}, month = {feb}, note = {PIRSA:18020095 see, \url{https://pirsa.org}} }
Stabilizer states are a rich class of quantum states which can be efficiently classically represented and manipulated. In this talk I will describe some ways in which they can help us to represent and manipulate more general quantum states. I will discuss classical simulation algorithms for quantum circuits which are based on expressing a quantum state as a superposition of (as few as possible) stabilizer states.
Based on arXiv:1601.07601 (with Sergey Bravyi) and work in progress with Sergey Bravyi, Dan Browne, Padraic Calpin, Earl Campbell and Mark Howard.