Entropic uncertainty relations in the spin-1 Heisenberg model

Improving Entanglement Generation Using the Coherence of a Nonthermal Reservoir

“…where |𝜙(𝛽)⟩ S A = cos 𝛽|0⟩ S A + sin 𝛽|1⟩ S A denotes the initial state of the auxiliary qubit S A . We employ the negativity [64,65] N(𝜌 S 1 S 2 S A ) to measure the entanglement of the system , which can be expressed as:…”

“…Assume that the system $${\rm{\mathcal{S}}}$$ is initially in the state: $$$$\begin{equation}{\left| {\psi (\theta ,\beta )} \right\rangle _{{S_1}{S_2}{S_A}}} = {\left| {\varphi (\theta )} \right\rangle _{{S_1}{S_2}}} \otimes {\left| {\phi (\beta )} \right\rangle _{{S_A}}}\end{equation}$$$$where $${| {\phi (\beta )} \rangle _{{S_A}}} = \cos \beta {| 0 \rangle _{{S_A}}} + \sin \beta {| 1 \rangle _{{S_A}}}$$denotes the initial state of the auxiliary qubit $${S_A}$$. We employ the negativity [ 64,65 ] $$N({\rho _{{S_1}{S_2}{S_A}}})$$ to measure the entanglement of the system $${\rm{\mathcal{S}}}$$, which can be expressed as: $$$$\begin{equation}N({\rho _{{S_1}{S_2...$$…”

Spin-valley system in a gated MoS2-monolayer quantum dot

“…Let us note that the CNOT gates are essential in creating the universal set of quantum gates. Any (multi-qubit) quantum operation can be approximated by a sequence of gates from a set consisting CNOT gate and some single-qubit operation [57], e.g. the p R 8 gate.…”

Changing the circuit-depth complexity of measurement-based quantum computation with hypergraph states

“…Consequently, the concept of universality is fundamental in computer science. While the most common choice for the universal gate set in quantum circuits is a two-qubit entangling gate supplemented by certain single-qubit gates [1], the universal gate set given by the three-qubit Toffoli gate [or the Controlled-Controlled-Z (CCZ) gate for our case] and the one-qubit Hadamard (H) gate [2,3] is fascinating for several reasons.…”