The quantum brachistochrone problem for an arbitrary spin in a magnetic field
arXiv:1503.00958 · doi:10.1016/j.physleta.2015.03.003
Abstract
We consider quantum brachistochrone evolution for a spin- system on rotational manifolds. Such manifolds are determined by the rotation of the eigenstates of the operator of projection of spin- on some direction. The Fubini-Study metrics of these manifolds are those of spheres with radii dependent on the value of the spin and on the value of the spin projection. The conditions for optimal evolution of the spin- system on rotational manifolds are obtained.
arXiv commentAccepted for publication in Phys. Lett. A
References in corpus (25)
- Security of quantum key distribution using d-level systems
- Quantum Computation as Geometry
- Optimal eavesdropping in cryptography with three-dimensional quantum states
- Faster than Hermitian Quantum Mechanics
- Experimental Quantum Cryptography with Qutrits
- Geometric Quantum Mechanics
- Bloch vectors for qudits
- Ion-trap quantum logic using long-wavelength radiation
- Quantum Brachistochrone
- Triggered qutrits for Quantum Communication protocols
- Quantum computation based on d-level cluster states
- Security of Quantum Key Distribution with Entangled Qutrits
- Asymptotically Optimal Quantum Circuits for d-level Systems
- Qutrit state engineering with biphotons
- Optimal control, geometry, and quantum computing
- Exceeding classical capacity limit in quantum optical channel
- Polarization state of a biphoton: quantum ternary logic
- On optimum Hamiltonians for state transformations
- Probabilistic implementation of universal quantum processors
- A quantum computer using a trapped-ion spin molecule and microwave radiation
- Quantum brachistochrone problem for spin-1 in a magnetic field
- Coherent states and rational surfaces
- Bloch space structure, the qutrit wave function and atom-field entanglement in three-level systems
- The Schmidt modes of biphoton qutrits: Poincare-sphere representation
- Quantum Gate Design Metric
Cited by in corpus (14)
- Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
- Geometric characteristics of quantum evolution: curvature and torsion
- Geometry of a two-spin quantum state in evolution
- Quantum state geometry and entanglement of two spins with anisotropic interaction in evolution
- Geometrical, topological and dynamical description of interacting spin- under long-range Ising model and their interplay with quantum entanglement
- Geometry and speed of evolution for a spin-s system with long-range zz-type Ising interaction
- Geometric properties of evolutionary graph states and their detection on a quantum computer
- Probing the geometry of two-qubit state space by evolution
- Geometry of quantum state manifolds generated by the Lie algebra operators
- Probing mean values and correlations of high-spin systems on a quantum computer
- Geometric measure of mixing of quantum state
- Geometry and quantum brachistochrone analysis of multiple entangled spin-1/2 particles under all-range Ising interaction
- Measuring distance between quantum states on a quantum computer
- Globally optimal control of quantum dynamics