Editing Quantum teleportation (section)

=== Higher dimensions ===

Quantum teleportation can improve the errors associated with [[Quantum threshold theorem|fault tolerant quantum computation]] via an arrangement of logic gates. Experiments by D. Gottesman and I. L. Chuang have determined that a "Clifford hierarchy"<ref>{{Cite journal |last1=Gottesman |first1=Daniel |last2=Chuang |first2=Isaac L. |date=November 1999 |title=Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations |journal=Nature |language=en |volume=402 |issue=6760 |pages=390–393 |doi=10.1038/46503 |issn=0028-0836 |arxiv=quant-ph/9908010 |bibcode=1999Natur.402..390G |s2cid=4411647}}</ref> gate arrangement which acts to enhance protection against environmental errors. Overall, a higher threshold of error is allowed with the Clifford hierarchy as the sequence of gates requires less resources that are needed for computation. While the more gates that are used in a quantum computer create more noise, the gates arrangement and use of teleportation in logic transfer can reduce this noise as it calls for less "traffic" that is compiled in these quantum networks.<ref>{{cite journal |last1=Luo |first1=Yi-Han |last2=Chen |first2=Ming-cheng |last3=Erhard |first3=Manuel |last4=Zhong |first4=Han-Sen |last5=Wu |first5=Dian |last6=Tang |first6=Hao-Yang |last7=Zhao |first7=Qi |last8=Wang |first8=Xi-Lin |last9=Fujii |first9=Keisuke |last10=Li |first10=Li |last11=Liu |first11=Nai-Le |last12=Nemoto |first12=Kae |last13=Munro |first13=William |last14=Lu |first14=Chao-Yang |last15=Zeilinger |first15=Anton |last16=Pan |first16=Jian-Wei |date=7 September 2020 |title=Quantum teleportation of physical qubits into logical code-spaces |journal=PNAS |volume=118 |issue=36 |at=e2026250118 |arxiv=2009.06242 |doi=10.1073/pnas.2026250118 |pmid=34479998 |doi-access=free |pmc=8433538}}</ref> The more qubits used for a quantum computer, the more levels are added to a gate arrangement, with the diagonalization of gate arrangement varying in degree. Higher dimension analysis involves the higher level gate arrangement of the Clifford hierarchy.<ref>{{cite journal |author=de Silva |first=Nadish |year=2021 |title=Efficient quantum gate teleportation in higher dimensions |journal=Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |volume=477 |issue=2251 |arxiv=2011.00127 |bibcode=2021RSPSA.47700865D |doi=10.1098/rspa.2020.0865 |s2cid=226227346}}</ref>