http://qcrypt2024.quics.umd.edu/research/publications/export/bibtex?f%5Bauthor%5D=1985 WebThe first two conditions in the theorem are necessary. Condition 1 is a well known property of cardinality, while condition 2 follows from König's theorem . In Easton's model the …
Error mitigation for universal gates on encoded qubits
WebApr 15, 2024 · More specifically, it is known by the Eastin-Knill theorem [11] that if a (finite-dimensional) code implements any continuous group of logical gates transversally (such … WebBTW, it seems that a simple yet rigorous non-equivalence proof might be constructed for two color codes or two CSS codes deriving from self-dual doubly even classical codes (since in those cases the transversal group coincides with the Cliffords and we can appeal to Eastin-Knill theorem to rule out other transversal gates). $\endgroup$ tizi ouzou maps
Eastin–Knill theorem - Wikipedia
WebMay 9, 2024 · Abstract Error correcting codes with a universal set of transversal gates are a desideratum for quantum computing. Such codes, however, are ruled out by the Eastin-Knill theorem. Moreover, the theorem also rules out codes which are covariant with respect to the action of transversal unitary operations forming continuous symmetries. WebThe Eastin-Knill theorem may be viewed as a restric-tion on codes covariant with respect to some continuous symmetry group Gthat acts as a product of local sym-metries. … WebJul 17, 2024 · The approach provides insight into how time evolution in the bulk corresponds to time evolution on the boundary without violating the Eastin-Knill theorem, and the five-rotor code can be stacked to form a covariant holographic code. 58 PDF An Introduction to Quantum Error Correction and Fault-Tolerant Quantum Computation D. Gottesman tizi ouzou vacations