Results 41 to 50 of about 9,097,410 (138)

Quantum fractional revival governed by adjacency matrix Hamiltonian in unitary Cayley graphs [PDF]

open access: yesarXiv
In this article, we give characterization for existence of quantum fractional revival in unitary Cayley graph utilizing adjacency matrix Hamiltonian. Unitary Cayley graph $X=( Z_n, S)$ is a special graph as connection set $S \subseteq Z_n$ is the collection of coprimes to $n$.
arxiv  

Periodicity and perfect state transfer of Grover walks on quadratic unitary Cayley graphs [PDF]

open access: yesarXiv
The quadratic unitary Cayley graph $\mathcal{G}_{\Zl_n}$ has vertex set $\mathbb{Z}_n: =\{0,1, \hdots ,n-1\}$, where two vertices $u$ and $v$ are adjacent if and only if $u - v$ or $v-u$ is a square of some units in $\mathbb{Z}_n$. This paper explores the periodicity and perfect state transfer of Grover walks on quadratic unitary Cayley graphs.
arxiv  

Emergent unitary designs for encoded qubits from coherent errors and syndrome measurements [PDF]

open access: yesarXiv
Unitary $k$-designs are distributions of unitary gates that match the Haar distribution up to its $k$-th statistical moment. They are a crucial resource for randomized quantum protocols. However, their implementation on encoded logical qubits is nontrivial due to the need for magic gates, which can require a large resource overhead.
arxiv  

Unified framework for matchgate classical shadows. [PDF]

open access: yesnpj Quantum Inf
Heyraud V, Chomet H, Tilly J.
europepmc   +1 more source

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