Time Optimal Control of Coupled Qubits Under Non-Stationary Interactions
arXiv:quant-ph/0502173 · doi:10.1103/PhysRevA.72.040301
Abstract
In this article, we give a complete characterization of all the unitary transformations that can be synthesized in a given time for a system of coupled spin-1/2 in presence of general time varying coupling tensor. Our treatment is quite general and our results help to characterize the reachable set at all times for a class of bilinear control systems with time varying drift and unbounded control amplitude. These results are of fundamental interest in geometric control theory and have applications to control of coupled spins in solid state NMR spectroscopy.
4 pages
References in corpus (10)
- Optimal Quantum Circuits for General Two-Qubit Gates
- Optimal simulation of two-qubit Hamiltonians using general local operations
- Characterization of non-local gates
- Interaction cost of non-local gates
- Exact two-qubit universal quantum circuit
- An Arbitrary Two-qubit Computation In 23 Elementary Gates
- Lower bounds on the complexity of simulating quantum gates
- Fast Non-Adiabatic Two Qubit Gates for the Kane Quantum Computer
- Gate simulation and lower bounds on the simulation time
- On the practicality of time-optimal two-qubit Hamiltonian simulation
Cited by in corpus (24)
- Control of quantum phenomena: Past, present, and future
- Training Schrödinger's cat: quantum optimal control
- Quantum control theory and applications: A survey
- Structure and Luminosity of Neutrino-cooled Accretion Disks
- Quantum brachistochrone curves as geodesics: obtaining accurate control protocols for time-optimal quantum gates
- Time-optimal control of a two-level dissipative quantum system
- Experimental time-optimal universal control of spin qubits in solids
- Simultaneous time-optimal control of the inversion of two spin 1/2 particles
- Optimal control of quantum superpositions in a bosonic Josephson junction
- Elliptic functions and efficient control of Ising spin chains with unequal couplings
- Time-optimal CNOT between indirectly coupled qubits in a linear Ising chain
- Time-optimal synthesis of unitary transformations in coupled fast and slow qubit system
- Time-optimal selective pulses of two uncoupled spin 1/2 particles
- Geodesics for Efficient Creation and Propagation of Order along Ising Spin Chains
- Time-Optimal Generation of Cluster States
- Optimal control of the silicon-based donor electron spin quantum computing
- Quantum brachistochrone problem for two spins-1/2 with anisotropic Heisenberg interaction
- Efficient synthesis of quantum gates on indirectly coupled spins
- Characterization of majorization monotone quantum dynamics
- Time-optimal polarization transfer from an electron spin to a nuclear spin
- Time-optimal Control of Independent Spin-1/2 Systems under Simultaneous Control
- Controlled-NOT gate sequences for mixed spin qubit architectures in a noisy environment
- Implementation of a two-qubit state by an auxiliary qubit on the three-spin system
- Set Stabilizability of Quantum Systems