Add to ORKGWe present a general framework for finding the time-optimal evolution and the optimal Hamiltonian for a quantum system with a given set of initial and final states. Our formulation is based on the variational principle and is analogous to that for the brachistochrone in classical mechanics. We reduce the problem to a formal equation for the Hamiltonian which depends on certain constraint functions specifying the range of available Hamiltonians. For some simple examples of the constraints, we explicitly find the optimal solutions
Entanglement is closely related to some fundamental features of the dynamics of composite quantum sy...
A non-Hermitian operator with a real spectrum and a complete set of eigenvectors may serve as the Ha...
We introduce a novel hybrid algorithm to simulate the real-time evolution of quantum systems using p...
Recently, Bender et al. have considered the quantum brachistochrone problem for the non-Hermitian PT...
We analyse the optimal times for implementing unitary quantum gates in a constrained finite dimensio...
Given an initial quantum state |I 〉 and a final quantum state |F 〉, there exist Hamil-tonians H unde...
Most methods of optimal control cannot obtain accurate time-optimal protocols. The quantum brachisto...
For a quantum system governed by a non-Hermitian Hamiltonian, we studied the problem of obtaining an...
Quantum coherence inherently affects the dynamics and the performances of a quantum machine. Coheren...
Compared with many other methods which only give time sub-optimal designs, the quantum brachistochro...
We present a simple derivation of the formula for the Hamiltonian operator(s) that achieve the faste...
Given a generic time-dependent many-body quantum state, we determine the associated parent Hamiltoni...
This work studies pulse-based variational quantum algorithms (VQAs), which are designed to determine...
This thesis focuses on the optimal control of a class of closed 1 quantum systems. It encompasses an...
Abstract: We study a quantum spin system acting on a single quantum bit. The evolution of this syste...
Entanglement is closely related to some fundamental features of the dynamics of composite quantum sy...
A non-Hermitian operator with a real spectrum and a complete set of eigenvectors may serve as the Ha...
We introduce a novel hybrid algorithm to simulate the real-time evolution of quantum systems using p...
Recently, Bender et al. have considered the quantum brachistochrone problem for the non-Hermitian PT...
We analyse the optimal times for implementing unitary quantum gates in a constrained finite dimensio...
Given an initial quantum state |I 〉 and a final quantum state |F 〉, there exist Hamil-tonians H unde...
Most methods of optimal control cannot obtain accurate time-optimal protocols. The quantum brachisto...
For a quantum system governed by a non-Hermitian Hamiltonian, we studied the problem of obtaining an...
Quantum coherence inherently affects the dynamics and the performances of a quantum machine. Coheren...
Compared with many other methods which only give time sub-optimal designs, the quantum brachistochro...
We present a simple derivation of the formula for the Hamiltonian operator(s) that achieve the faste...
Given a generic time-dependent many-body quantum state, we determine the associated parent Hamiltoni...
This work studies pulse-based variational quantum algorithms (VQAs), which are designed to determine...
This thesis focuses on the optimal control of a class of closed 1 quantum systems. It encompasses an...
Abstract: We study a quantum spin system acting on a single quantum bit. The evolution of this syste...
Entanglement is closely related to some fundamental features of the dynamics of composite quantum sy...
A non-Hermitian operator with a real spectrum and a complete set of eigenvectors may serve as the Ha...
We introduce a novel hybrid algorithm to simulate the real-time evolution of quantum systems using p...