Quantum fractional revival governed by adjacency matrix Hamiltonian in unitary Cayley graphs [PDF]
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]
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]
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
Simulating the non-Hermitian dynamics of financial option pricing with quantum computers. [PDF]
Kumar S, Wilmott CM.
europepmc +1 more source
Measurement-Induced Symmetry Restoration and Quantum Mpemba Effect. [PDF]
Di Giulio G, Turkeshi X, Murciano S.
europepmc +1 more source
Operator-Valued Twisted Araki-Woods Algebras. [PDF]
Kumar RR, Wirth M.
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On Dynamical Measures of Quantum Information. [PDF]
Fullwood J, Parzygnat AJ.
europepmc +1 more source
Observation of the non-Hermitian skin effect and Fermi skin on a digital quantum computer. [PDF]
Shen R, Chen T, Yang B, Lee CH.
europepmc +1 more source
Unified framework for matchgate classical shadows. [PDF]
Heyraud V, Chomet H, Tilly J.
europepmc +1 more source
Deterministic Quantum Dense Coding Based on Non-Maximal Entangled Channel. [PDF]
Xin X, Li Z, Wang Z.
europepmc +1 more source