2022
DOI: 10.1007/s11128-022-03704-5
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Characterizing tripartite entropic uncertainty under random telegraph noise

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Cited by 4 publications
(4 citation statements)
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“…Two ST or OU local noises are considered to be paired with the two qubits in the TNC configuration. The following Hamiltonian is our considered model that governs the current physical system in the mentioned situations [ 47,81 ] Hij(t)badbreak=Hi(t)1jgoodbreak+1iHj(t)$$\begin{equation} { H_{ij}(t)=H_i(t) \otimes {\mathbb {1}}_j +{\mathbb {1}}_i \otimes H_j(t)} \end{equation}$$where Hn(t)3.33333pt(withn=i,j)$ H_{n}(t)\nobreakspace (\text{with}\nobreakspace n=i,j)$ is the individual sub‐system Hamiltonian of the system written as [ 89 ] Hn(t)badbreak=E1ngoodbreak+λΔn(t)σx$$\begin{equation} H_n(t)=E {\mathbb {1}}_{n}+\lambda \Delta _n(t)\sigma ^x \end{equation}$$where E denotes the equal energy partitioning, double-struck1n$\mathbb {1}_n$ is the 2 × 2 identity matrix, and the qubit‐channel coupling strength and the stochastic parameters in the classical channels are respectively represented by λ and Δn(t)$\Delta _n(t)$ (with Δn(t)$\Delta _n(t)$ flipping between ±1), while σx$\sigma ^x$ is the x ‐component of Pauli matrices.…”
Section: Physical Model and Quantum Criteriamentioning
confidence: 99%
See 1 more Smart Citation
“…Two ST or OU local noises are considered to be paired with the two qubits in the TNC configuration. The following Hamiltonian is our considered model that governs the current physical system in the mentioned situations [ 47,81 ] Hij(t)badbreak=Hi(t)1jgoodbreak+1iHj(t)$$\begin{equation} { H_{ij}(t)=H_i(t) \otimes {\mathbb {1}}_j +{\mathbb {1}}_i \otimes H_j(t)} \end{equation}$$where Hn(t)3.33333pt(withn=i,j)$ H_{n}(t)\nobreakspace (\text{with}\nobreakspace n=i,j)$ is the individual sub‐system Hamiltonian of the system written as [ 89 ] Hn(t)badbreak=E1ngoodbreak+λΔn(t)σx$$\begin{equation} H_n(t)=E {\mathbb {1}}_{n}+\lambda \Delta _n(t)\sigma ^x \end{equation}$$where E denotes the equal energy partitioning, double-struck1n$\mathbb {1}_n$ is the 2 × 2 identity matrix, and the qubit‐channel coupling strength and the stochastic parameters in the classical channels are respectively represented by λ and Δn(t)$\Delta _n(t)$ (with Δn(t)$\Delta _n(t)$ flipping between ±1), while σx$\sigma ^x$ is the x ‐component of Pauli matrices.…”
Section: Physical Model and Quantum Criteriamentioning
confidence: 99%
“…where H n (t) (with n = i, j) is the individual sub-system Hamiltonian of the system written as [89] H n (t…”
Section: Physical Model and Quantum Criteriamentioning
confidence: 99%
“…which shows how the equilibrium value of the discrimination probability depends on the geometry of the initial state. From (20), one can observe that if θ = π/2 and φ = 0, then p(t) = 1 for all t ≥ 0. It proves that the pair of orthogonal states that lie on the x axis is optimal for information encoding…”
Section: Example 2: Time-dependent Bit Flip Channelmentioning
confidence: 99%
“…[11][12][13][14][15][16]. In recent years, non-Markovian effects in open systems have been particularly studied [17][18][19][20]. In this paper, we propose to investigate the impact of majorization monotone dynamics on the quality of quantum state transmission.…”
Section: Introductionmentioning
confidence: 99%