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Results tagged with quantum-mechanics
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user 330205
Quantum mechanics describes the microscopic properties of nature in a regime where classical mechanics no longer applies. It explains phenomena such as the wave-particle duality, quantization of energy, and the uncertainty principle and is generally used in single-body systems. Use the quantum-field-theory tag for the theory of many-body quantum-mechanical systems.
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Time-evolution state of Hamiltonian with reversed sign
Suppose we evolve from an initial state $\rho_0$ under a given time-dependent Hamiltonian $H(t)$ (time-independent Hamiltonian is also fine) and obtained the fully time-evolved state $\rho_1(T)$. Supp …
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From Lindblad operators to Kraus operators: an explicit example of a dephasing noise model
I'm trying to understand how to obtain a set of Kraus operators from Lindblad master equations. For a $1$-qubit dephasing noise model, it is well-known that the set of Kraus operators is $\{ \sqrt{p}I …
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Norm of a jump operator
What is the restriction on the norm of the operator $L_k$ in the Lindblad master equation $\dot{\rho} = \sum_k L_k \rho L_k^\dagger + \frac{1}{2}\left\{ L_k^\dagger L_k, \rho\right\}$? Although there …
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Schrodinger equation of linear combination of quantum states
We know that the solution for $i\hbar \frac{\partial}{\partial t}|\psi (t) \rangle = H|\psi (t)\rangle $ where $H$ is time-independent Hamiltonian, is $|\psi(t)\rangle = e^{-iHt/\hbar}|\psi(t=0)\rangl …
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For any unitary $U = e^{iA}$, question about the matrix element $A_{pq}$ of matrix $A$ and i... [closed]
Any unitary operation $U \in U(N)$ can be represented as $U = e^{iA}$, where $A$ is an arbitrary $N \times N$ Hermitian matrix. In the case of a time-independent Hamiltonian $H$, we have $A = -itH$ (t …
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