On the explicit constructions of certain unitary t-designs
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab5009
Abstract: Unitary $t$-designs are `good' finite subsets of the unitary group $U(d)$ that approximate the whole unitary group $U(d)$ well. Unitary $t$-designs have been applied in randomized benchmarking, tomography, quantum cryptography and many other areas of… read more here.
Keywords: group; exact unitary; designs unitary; explicit constructions ... See more keywords
Explicit Constructions of Rack-Aware Regenerating Codes for Multi-Node Failures
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Transactions on Communications"
DOI: 10.1109/tcomm.2025.3582724
Abstract: In data centers, storage nodes are typically organized in racks and rack-aware regenerating codes (RRCs) can achieve the optimal trade-off between storage capacity and cross-rack repair bandwidth. In this paper, we present explicit constructions for… read more here.
Keywords: multi node; regenerating codes; explicit constructions; rack aware ... See more keywords