We consider a class of redudancy-free Hamiltonians, which are those where the trace vanishes for any product of Hamiltonian terms in which at least one term appears an odd number of times. This includes Hamiltonians which are sums of products of Paulis with no relations between them. These Hamiltonians arise naturally...
Matthew B. Hastings, Alexander Schmidhuber· 0 citations
A concrete device roadmap toward a fault-tolerant quantum computing architecture based on noise-resilient, topologically protected Majorana-based qubits is described, along with the associated protocols for demonstrations of single-qubit benchmarking, Clifford gate execution, quantum error detection.
D. Aasen, M. Aghaee, Zulfi Alam et al.· 5 citations
A nonempty subfamily of a $k$-uniform hypergraph is an \emph{even cover} if every vertex lies in an even number of its hyperedges; for $k=2$ these are edge-disjoint unions of cycles, so the minimum size of an even cover is the natural hypergraph analogue of girth. We prove Feige's 2008 conjecture on the hypergraph Moor...
Alexander Schmidhuber, Matthew B. Hastings· arXiv.org· 1 citation
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