AbstractQuantum error-correcting codes (QECCs) can eliminate the negative effects of quantum noise, the major obstacle to the execution of quantum algorithms on large-scale quantum computers. However, realizing practical quantum error correction (QEC) and fault-tolerant quantum computation (FTQC) requires resolving many challenges, both theoretical and practical. These challenges include tremen...
AbstractBuchstaber and Panov introduced the notion of the moment-angle complex Z. This space isdefined as a union of specific product spaces of discs and circles, equipped with a natural action ofa torus T. Topologically, a moment-angle complex provides a way to understand a simplicial toricvariety through its quotient Z/H, where H is a closed subgroup of T. The computation of thecohomology gro...
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